%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG421-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 12:54:13 PM UTC 2026
% Result : Unsatisfiable 91.32s 13.37s
% Output : CNFRefutation 91.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 308
% Syntax : Number of formulae : 12167 (4170 unt; 0 def)
% Number of atoms : 26331 (11501 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 23095 (8931 ~;14164 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 6 con; 0-3 aty)
% Number of variables : 36028 ( 0 sgn36028 !; 0 ?;34850 :)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X2,X0,X1] :
( X1 = c_HOL_Ozero__class_Ozero(X0)
| c_Polynomial_Omonom(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| ~ class_HOL_Ozero(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_monom__eq__0__iff_0) ).
fof(f7,plain,
! [X2,X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = X1
| c_Polynomial_Omonom(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| ~ class_HOL_Ozero(X0) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( c_Polynomial_Osmult(X1,c_Polynomial_OpCons(X2,X3,X0),X0) = c_Polynomial_OpCons(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_Polynomial_Osmult(X1,X3,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_smult__pCons_0) ).
fof(f13,axiom,
! [X0,X1] :
( c_Polynomial_Omonom(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_Polynomial_OpCons(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0)
| ~ class_HOL_Ozero(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_monom__0_0) ).
fof(f14,axiom,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__SucI_0) ).
fof(f21,axiom,
! [X0] :
( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inverse__zero_0) ).
fof(f22,plain,
! [X0] :
( c_HOL_Ozero__class_Ozero(X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,axiom,
! [X2,X0,X1] :
( X1 = X2
| c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__mult__cancel1_0) ).
fof(f26,axiom,
! [X2,X0,X1] :
( X1 = c_HOL_Ozero__class_Ozero(X0)
| c_Polynomial_Odegree(c_Polynomial_Osmult(X1,X2,X0),X0) = c_Polynomial_Odegree(X2,X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_degree__smult__eq_1) ).
fof(f27,plain,
! [X2,X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = X1
| c_Polynomial_Odegree(c_Polynomial_Osmult(X1,X2,X0),X0) = c_Polynomial_Odegree(X2,X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,axiom,
! [X2,X3,X0,X1] :
( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0)
| ~ class_Divides_Osemiring__div(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zmod__simps_I2_J_0) ).
fof(f29,axiom,
! [X2,X3,X0,X1] :
( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0)
| ~ class_Divides_Osemiring__div(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zmod__simps_I1_J_0) ).
fof(f37,axiom,
! [X2,X0,X1] :
( X1 = X2
| X2 = c_HOL_Ozero__class_Ozero(X0)
| c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_right__inverse__eq_0) ).
fof(f38,plain,
! [X2,X0,X1] :
( X1 = X2
| c_HOL_Ozero__class_Ozero(X0) = X2
| c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(reorient_equations,[],[f37]) ).
fof(f41,axiom,
! [X0] : c_Suc(X0) != X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__n__not__n_0) ).
fof(f48,axiom,
! [X2,X3,X0,X1,X4] :
( X2 = c_HOL_Ozero__class_Ozero(X0)
| X3 = X4
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
| ~ class_Int_Onumber__ring(X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Oadd__scale__eq__noteq_0) ).
fof(f49,plain,
! [X2,X3,X0,X1,X4] :
( c_HOL_Ozero__class_Ozero(X0) = X2
| X3 = X4
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
| ~ class_Int_Onumber__ring(X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(reorient_equations,[],[f48]) ).
fof(f50,axiom,
! [X2,X3,X0,X1] :
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| X2 = X3
| c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_natgb_Oadd__scale__eq__noteq_0) ).
fof(f51,plain,
! [X2,X3,X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_nat) = X1
| X2 = X3
| c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat) ),
inference(reorient_equations,[],[f50]) ).
fof(f52,axiom,
! [X2,X0,X1] :
( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X1,X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inverse__divide_0) ).
fof(f53,plain,
! [X2,X0,X1] :
( c_HOL_Oinverse__class_Odivide(X2,X1,X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(reorient_equations,[],[f52]) ).
fof(f61,axiom,
! [X2,X3,X0,X1,X4] :
( X1 = X3
| c_Polynomial_OpCons(X1,X2,X0) != c_Polynomial_OpCons(X3,X4,X0)
| ~ class_HOL_Ozero(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pCons__eq__iff_0) ).
fof(f62,axiom,
! [X2,X3,X0,X1,X4] :
( X2 = X4
| c_Polynomial_OpCons(X1,X2,X0) != c_Polynomial_OpCons(X3,X4,X0)
| ~ class_HOL_Ozero(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pCons__eq__iff_1) ).
fof(f63,axiom,
! [X2,X0,X1] :
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0),X0) = X2
| ~ class_OrderedGroup_Ogroup__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__minus__cancel_0) ).
fof(f67,axiom,
! [X2,X0,X1] :
( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0)
| ~ class_Divides_Osemiring__div(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__add__self2_0) ).
fof(f68,plain,
! [X2,X0,X1] :
( c_Divides_Odiv__class_Omod(X1,X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0)
| ~ class_Divides_Osemiring__div(X0) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,axiom,
! [X2,X0,X1] :
( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0)
| ~ class_Divides_Osemiring__div(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__add__self1_0) ).
fof(f75,axiom,
! [X0,X1] :
( c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Opwr__0_0) ).
fof(f76,plain,
! [X0,X1] :
( c_HOL_Oone__class_Oone(X0) = c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(reorient_equations,[],[f75]) ).
fof(f79,axiom,
! [X0,X1] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_one__dvd_0) ).
fof(f82,axiom,
! [X2,X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel1_1) ).
fof(f83,axiom,
! [X2,X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel2_1) ).
fof(f84,axiom,
! [X0] : c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lessI_0) ).
fof(f86,axiom,
! [X2,X0,X1] :
( ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
| c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__trans__Suc_0) ).
fof(f87,axiom,
! [X2,X0,X1] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X0),X0),X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__mult__cancel__right_1) ).
fof(f88,axiom,
! [X2,X0,X1] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__mult__cancel__left_1) ).
fof(f89,axiom,
! [X2,X3,X0,X1] :
( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
| c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__trans_0) ).
fof(f90,axiom,
! [X0,X1] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__refl_0) ).
fof(f97,axiom,
! [X0,X1] :
( X1 = X0
| c_HOL_Oord__class_Oless(X1,X0,tc_nat)
| c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__neq__iff_0) ).
fof(f98,plain,
! [X0,X1] :
( X0 = X1
| c_HOL_Oord__class_Oless(X1,X0,tc_nat)
| c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(reorient_equations,[],[f97]) ).
fof(f104,axiom,
! [X2,X0,X1] :
( X1 = X2
| c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
| ~ class_OrderedGroup_Ogroup__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__equal__iff__equal_0) ).
fof(f113,axiom,
! [X0,X1] :
( X1 = c_HOL_Ozero__class_Ozero(X0)
| c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
| ~ class_OrderedGroup_Ogroup__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__equal__0__iff__equal_0) ).
fof(f114,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = X1
| c_HOL_Ozero__class_Ozero(X0) != c_HOL_Ouminus__class_Ouminus(X1,X0)
| ~ class_OrderedGroup_Ogroup__add(X0) ),
inference(reorient_equations,[],[f113]) ).
fof(f122,axiom,
! [X0,X1] :
( c_Polynomial_Odegree(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X0),X1,X0),X0) = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ class_Ring__and__Field_Oidom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_degree__smult__eq_0) ).
fof(f123,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_nat) = c_Polynomial_Odegree(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X0),X1,X0),X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(reorient_equations,[],[f122]) ).
fof(f124,axiom,
! [X0,X1] : c_HOL_Otimes__class_Otimes(X0,c_Suc(X1),tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__Suc__right_0) ).
fof(f125,axiom,
! [X0,X1] : c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__Suc_0) ).
fof(f130,axiom,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__0__less__mult__iff_2) ).
fof(f135,axiom,
! [X0,X1] :
( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__is__0_0) ).
fof(f136,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_nat) = X0
| c_HOL_Ozero__class_Ozero(tc_nat) = X1
| c_HOL_Ozero__class_Ozero(tc_nat) != c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) ),
inference(reorient_equations,[],[f135]) ).
fof(f137,axiom,
! [X2,X3,X0,X1] :
( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X3,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__divide__distrib_0) ).
fof(f139,axiom,
! [X0,X1] :
( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__is__0_0) ).
fof(f140,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_nat) = X0
| c_HOL_Ozero__class_Ozero(tc_nat) != c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) ),
inference(reorient_equations,[],[f139]) ).
fof(f141,axiom,
! [X0,X1] :
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__is__0_1) ).
fof(f142,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_nat) = X1
| c_HOL_Ozero__class_Ozero(tc_nat) != c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) ),
inference(reorient_equations,[],[f141]) ).
fof(f145,axiom,
! [X2,X3,X0,X1] :
( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
| c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__diff_0) ).
fof(f146,axiom,
! [X0,X1] :
( c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0)
| ~ class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__iff__diff__eq__0_0) ).
fof(f147,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = c_HOL_Ominus__class_Ominus(X1,X1,X0)
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(reorient_equations,[],[f146]) ).
fof(f148,axiom,
! [X0,X1] :
( c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0)
| ~ class_OrderedGroup_Ogroup__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_right__minus__eq_1) ).
fof(f149,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = c_HOL_Ominus__class_Ominus(X1,X1,X0)
| ~ class_OrderedGroup_Ogroup__add(X0) ),
inference(reorient_equations,[],[f148]) ).
fof(f150,axiom,
! [X0,X1] :
( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1
| ~ class_OrderedGroup_Ogroup__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__0__right_0) ).
fof(f153,axiom,
! [X0,X1] :
( c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0)
| ~ class_Int_Onumber__ring(X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Osubr0__iff_1) ).
fof(f154,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = c_HOL_Ominus__class_Ominus(X1,X1,X0)
| ~ class_Int_Onumber__ring(X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(reorient_equations,[],[f153]) ).
fof(f161,axiom,
! [X2,X0,X1] :
( X2 = c_HOL_Ozero__class_Ozero(X0)
| X1 != c_HOL_Oplus__class_Oplus(X1,X2,X0)
| ~ class_Int_Onumber__ring(X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Oadd__r0__iff_0) ).
fof(f162,plain,
! [X2,X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = X2
| c_HOL_Oplus__class_Oplus(X1,X2,X0) != X1
| ~ class_Int_Onumber__ring(X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(reorient_equations,[],[f161]) ).
fof(f163,axiom,
! [X0,X1] :
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| X0 != c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_natgb_Oadd__r0__iff_0) ).
fof(f164,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_nat) = X1
| c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != X0 ),
inference(reorient_equations,[],[f163]) ).
fof(f168,axiom,
! [X2,X0,X1] :
( c_HOL_Ouminus__class_Ouminus(c_Polynomial_OpCons(X1,X2,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,tc_Polynomial_Opoly(X0)),X0)
| ~ class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__pCons_0) ).
fof(f176,axiom,
! [X2,X3,X0,X1] :
( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
| c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
| ~ class_Divides_Osemiring__div(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__mod__iff_0) ).
fof(f177,axiom,
! [X2,X3,X0,X1] :
( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
| c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
| ~ class_Divides_Osemiring__div(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__mod_0) ).
fof(f178,axiom,
! [X2,X0,X1] :
( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_termination__basic__simps_I1_J_0) ).
fof(f179,axiom,
! [X2,X0,X1] :
( ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_termination__basic__simps_I2_J_0) ).
fof(f180,axiom,
! [X0,X1] :
( c_HOL_Ouminus__class_Ouminus(X1,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0)
| ~ class_Int_Onumber__ring(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ring_Oneg__mul_0) ).
fof(f181,axiom,
! [X2,X0,X1] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__mult__assoc_0) ).
fof(f182,axiom,
! [X2,X0,X1] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__mult__distrib2_0) ).
fof(f183,axiom,
! [X2,X0,X1] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__mult__distrib_0) ).
fof(f189,axiom,
! [X2,X0,X1] :
( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__divide__right_0) ).
fof(f190,axiom,
! [X2,X0,X1] :
( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__divide__left_0) ).
fof(f193,axiom,
! [X2,X3,X0,X1] :
( X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| c_Polynomial_Osmult(X1,X2,X0) != c_Polynomial_OpCons(X3,X2,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synthetic__div__unique__lemma_0) ).
fof(f194,plain,
! [X2,X3,X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = X2
| c_Polynomial_Osmult(X1,X2,X0) != c_Polynomial_OpCons(X3,X2,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(reorient_equations,[],[f193]) ).
fof(f201,axiom,
! [X2,X3,X0,X1,X4] :
( X2 = c_HOL_Ozero__class_Ozero(X0)
| X4 = c_HOL_Ozero__class_Ozero(X0)
| c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X4,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__frac__eq_0) ).
fof(f202,plain,
! [X2,X3,X0,X1,X4] :
( c_HOL_Ozero__class_Ozero(X0) = X2
| c_HOL_Ozero__class_Ozero(X0) = X4
| c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X4,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(reorient_equations,[],[f201]) ).
fof(f204,axiom,
! [X0,X1] :
( X1 = c_HOL_Ozero__class_Ozero(X0)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_field__inverse_0) ).
fof(f205,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = X1
| c_HOL_Oone__class_Oone(X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(reorient_equations,[],[f204]) ).
fof(f219,axiom,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__less__eq_1) ).
fof(f220,axiom,
! [X0,X1] :
( c_HOL_Oord__class_Oless(X1,X0,tc_nat)
| c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__less__eq_0) ).
fof(f221,axiom,
! [X2,X3,X0,X1] :
( c_Polynomial_Osmult(X1,c_Polynomial_Omonom(X2,X3,X0),X0) = c_Polynomial_Omonom(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_smult__monom_0) ).
fof(f230,axiom,
! [X0,X1] :
( c_Polynomial_Osmult(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_smult__1__left_0) ).
fof(f232,axiom,
! [X2,X3,X0,X1] :
( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
| c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__add_0) ).
fof(f233,axiom,
! [X2,X0,X1] :
( X1 = c_HOL_Ozero__class_Ozero(X0)
| X2 = c_HOL_Ozero__class_Ozero(X0)
| c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inverse__add_0) ).
fof(f234,plain,
! [X2,X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = X1
| c_HOL_Ozero__class_Ozero(X0) = X2
| c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(reorient_equations,[],[f233]) ).
fof(f237,axiom,
! [X0,X1] :
( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0)
| ~ class_OrderedGroup_Ogroup__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_group__add__class_Odiff__0_0) ).
fof(f238,plain,
! [X0,X1] :
( c_HOL_Ouminus__class_Ouminus(X1,X0) = c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| ~ class_OrderedGroup_Ogroup__add(X0) ),
inference(reorient_equations,[],[f237]) ).
fof(f243,axiom,
! [X2,X3,X0,X1] :
( X2 = c_HOL_Ozero__class_Ozero(X0)
| c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X3,X2,X0),X0),X2,X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__frac__num_0) ).
fof(f244,plain,
! [X2,X3,X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = X2
| c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X3,X2,X0),X0),X2,X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(reorient_equations,[],[f243]) ).
fof(f245,axiom,
! [X2,X3,X0,X1] :
( X3 = c_HOL_Ozero__class_Ozero(X0)
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0),X3,X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__num__frac_0) ).
fof(f246,plain,
! [X2,X3,X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = X3
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0),X3,X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(reorient_equations,[],[f245]) ).
fof(f247,axiom,
! [X2,X3,X0,X1,X4] :
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X4,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I20_J_0) ).
fof(f248,axiom,
! [X0,X1] :
( c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__root_1) ).
fof(f249,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(reorient_equations,[],[f248]) ).
fof(f250,axiom,
! [X0,X1] :
( c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_poly__0_0) ).
fof(f251,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(reorient_equations,[],[f250]) ).
fof(f254,axiom,
! [X2,X0,X1] :
( c_HOL_Ominus__class_Ominus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
| ~ class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__def_0) ).
fof(f255,axiom,
! [X2,X0,X1] :
( c_HOL_Ominus__class_Ominus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
| ~ class_Int_Onumber__ring(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ring_Osub__add_0) ).
fof(f256,axiom,
! [X2,X0,X1] :
( c_HOL_Ominus__class_Ominus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
| ~ class_OrderedGroup_Ogroup__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__minus_0) ).
fof(f260,axiom,
! [X2,X0,X1] :
( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
| c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__minus__iff_0) ).
fof(f261,axiom,
! [X2,X0,X1] :
( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
| c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__minus__iff_1) ).
fof(f262,axiom,
! [X2,X0,X1] :
( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
| c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__dvd__iff_0) ).
fof(f263,axiom,
! [X2,X0,X1] :
( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
| c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__dvd__iff_1) ).
fof(f264,axiom,
! [X2,X0,X1] :
( c_Polynomial_Odegree(c_Power_Opower__class_Opower(c_Polynomial_OpCons(X1,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),X2,tc_Polynomial_Opoly(X0)),X0) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_degree__linear__power_0) ).
fof(f268,axiom,
! [X0,X1] :
( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0) = X1
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__1_0) ).
fof(f273,axiom,
! [X2,X0,X1] :
( X0 = X2
| c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__add__right__cancel_0) ).
fof(f274,axiom,
! [X2,X0,X1] :
( X1 = X2
| c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__add__left__cancel_0) ).
fof(f276,axiom,
! [X2,X3,X0,X1] :
( X2 = X3
| c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
| ~ class_Int_Onumber__ring(X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Oadd__cancel_0) ).
fof(f283,axiom,
! [X2,X3,X0,X1,X4] :
( c_HOL_Otimes__class_Otimes(c_Polynomial_Omonom(X1,X2,X0),c_Polynomial_Omonom(X3,X4,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_Omonom(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X4,tc_nat),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__monom_0) ).
fof(f284,axiom,
! [X2,X0,X1] :
( ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
| c_Divides_Odiv__class_Omod(X1,X2,X0) = c_HOL_Ozero__class_Ozero(X0)
| ~ class_Divides_Osemiring__div(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__imp__mod__0_0) ).
fof(f285,plain,
! [X2,X0,X1] :
( ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
| c_HOL_Ozero__class_Ozero(X0) = c_Divides_Odiv__class_Omod(X1,X2,X0)
| ~ class_Divides_Osemiring__div(X0) ),
inference(reorient_equations,[],[f284]) ).
fof(f286,axiom,
! [X2,X0,X1] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
| c_Divides_Odiv__class_Omod(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
| ~ class_Divides_Osemiring__div(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__eq__mod__eq__0_1) ).
fof(f287,plain,
! [X2,X0,X1] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
| c_HOL_Ozero__class_Ozero(X0) != c_Divides_Odiv__class_Omod(X1,X2,X0)
| ~ class_Divides_Osemiring__div(X0) ),
inference(reorient_equations,[],[f286]) ).
fof(f288,axiom,
! [X0] :
( c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| ~ class_HOL_Ozero(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pCons__0__0_0) ).
fof(f289,plain,
! [X0] :
( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0)
| ~ class_HOL_Ozero(X0) ),
inference(reorient_equations,[],[f288]) ).
fof(f290,axiom,
! [X0,X1] :
( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| X1 = c_HOL_Ozero__class_Ozero(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__0__left_0) ).
fof(f291,plain,
! [X0,X1] :
( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| c_HOL_Ozero__class_Ozero(X0) = X1
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(reorient_equations,[],[f290]) ).
fof(f296,axiom,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_one__less__mult_0) ).
fof(f297,axiom,
! [X0,X1] : c_HOL_Oplus__class_Oplus(c_Suc(X0),X1,tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__Suc__shift_0) ).
fof(f303,axiom,
! [X2,X0,X1] :
( c_HOL_Ouminus__class_Ouminus(c_Polynomial_Omonom(X1,X2,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_Omonom(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
| ~ class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__monom_0) ).
fof(f313,axiom,
! [X2,X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__lessD1_0) ).
fof(f317,axiom,
! [X0,X1] : c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat)),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__add__Suc2_0) ).
fof(f318,axiom,
! [X0,X1] : c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__iff__Suc__add_1) ).
fof(f320,axiom,
! [X0] : c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat_Osimps_I2_J_0) ).
fof(f325,axiom,
! [X0,X1] :
( c_Polynomial_Omonom(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| ~ class_HOL_Ozero(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_monom__eq__0_0) ).
fof(f326,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = c_Polynomial_Omonom(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| ~ class_HOL_Ozero(X0) ),
inference(reorient_equations,[],[f325]) ).
fof(f327,axiom,
! [X0,X1] :
( c_HOL_Oinverse__class_Oinverse(X1,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inverse__eq__divide_0) ).
fof(f329,axiom,
! [X2,X0,X1] :
( X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| c_Polynomial_Odegree(c_Polynomial_OpCons(X1,X2,X0),X0) = c_Suc(c_Polynomial_Odegree(X2,X0))
| ~ class_HOL_Ozero(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_degree__pCons__eq_0) ).
fof(f330,plain,
! [X2,X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = X2
| c_Polynomial_Odegree(c_Polynomial_OpCons(X1,X2,X0),X0) = c_Suc(c_Polynomial_Odegree(X2,X0))
| ~ class_HOL_Ozero(X0) ),
inference(reorient_equations,[],[f329]) ).
fof(f333,axiom,
! [X0] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__mult__1_0) ).
fof(f334,axiom,
! [X0] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__mult__1__right_0) ).
fof(f337,axiom,
! [X2,X0,X1] :
( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X2,X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__one__over_0) ).
fof(f339,axiom,
! [X0] : c_Suc(X0) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__eq__plus1_0) ).
fof(f344,axiom,
! [X0,X1] :
( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
| ~ class_Divides_Osemiring__div(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__0_0) ).
fof(f345,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| ~ class_Divides_Osemiring__div(X0) ),
inference(reorient_equations,[],[f344]) ).
fof(f348,axiom,
! [X0] :
( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
| X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__Suc0_0) ).
fof(f349,plain,
! [X0] :
( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
| c_HOL_Ozero__class_Ozero(tc_nat) = X0 ),
inference(reorient_equations,[],[f348]) ).
fof(f351,axiom,
! [X2,X0,X1] :
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X2,X0) = X1
| ~ class_OrderedGroup_Ogroup__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__add__cancel_0) ).
fof(f361,axiom,
! [X0,X1] : c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__mult__commute_0) ).
fof(f372,axiom,
! [X2,X3,X0,X1] :
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Oadd__a_0) ).
fof(f373,axiom,
! [X2,X0,X1] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__add__assoc_0) ).
fof(f374,axiom,
! [X2,X0,X1] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__add__left__commute_0) ).
fof(f375,axiom,
! [X2,X3,X0,X1] :
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
| ~ class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__cancel__21_1) ).
fof(f379,axiom,
! [X2,X3,X0,X1] :
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I23_J_0) ).
fof(f380,axiom,
! [X2,X3,X0,X1] :
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I22_J_0) ).
fof(f383,axiom,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__gr__0_0) ).
fof(f387,axiom,
! [X0,X1] :
( c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
| X1 = c_HOL_Ozero__class_Ozero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_right__inverse__eq_1) ).
fof(f388,plain,
! [X0,X1] :
( c_HOL_Oone__class_Oone(X0) = c_HOL_Oinverse__class_Odivide(X1,X1,X0)
| c_HOL_Ozero__class_Ozero(X0) = X1
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(reorient_equations,[],[f387]) ).
fof(f391,axiom,
! [X0,X1] :
( X1 = c_HOL_Ozero__class_Ozero(X0)
| c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__self__if_1) ).
fof(f392,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = X1
| c_HOL_Oone__class_Oone(X0) = c_HOL_Oinverse__class_Odivide(X1,X1,X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(reorient_equations,[],[f391]) ).
fof(f396,axiom,
! [X0,X1] :
( X0 = c_HOL_Oone__class_Oone(tc_nat)
| c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__mult__eq__1__iff_0) ).
fof(f397,plain,
! [X0,X1] :
( c_HOL_Oone__class_Oone(tc_nat) = X0
| c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
inference(reorient_equations,[],[f396]) ).
fof(f398,axiom,
! [X0,X1] :
( X1 = c_HOL_Oone__class_Oone(tc_nat)
| c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__mult__eq__1__iff_1) ).
fof(f399,plain,
! [X0,X1] :
( c_HOL_Oone__class_Oone(tc_nat) = X1
| c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
inference(reorient_equations,[],[f398]) ).
fof(f400,axiom,
! [X2,X3,X0,X1] :
( X2 = X3
| c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
| ~ class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__eqI_0) ).
fof(f401,plain,
! [X2,X3,X0,X1] :
( X2 = X3
| c_HOL_Ominus__class_Ominus(X2,X3,X0) != c_HOL_Ominus__class_Ominus(X1,X1,X0)
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(reorient_equations,[],[f400]) ).
fof(f403,axiom,
! [X2,X0,X1] :
( X1 = X2
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__mult__eq__cancel1_0) ).
fof(f404,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) ),
inference(reorient_equations,[],[f403]) ).
fof(f405,axiom,
! [X2,X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel1_0) ).
fof(f406,axiom,
! [X2,X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel2_0) ).
fof(f408,axiom,
! [X0] :
( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat)
| X0 = c_HOL_Ozero__class_Ozero(tc_nat)
| X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__lt__two__imp__zero__or__one_0) ).
fof(f409,plain,
! [X0] :
( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat)
| c_HOL_Ozero__class_Ozero(tc_nat) = X0
| c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = X0 ),
inference(reorient_equations,[],[f408]) ).
fof(f410,axiom,
! [X2,X0,X1] :
( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__divide__divide_0) ).
fof(f411,plain,
! [X2,X0,X1] :
( c_HOL_Oinverse__class_Odivide(X1,X2,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(reorient_equations,[],[f410]) ).
fof(f416,axiom,
! [X0] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_gr0__conv__Suc_1) ).
fof(f419,axiom,
! [X2,X3,X0,X1] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),X3,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),X3,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_left__add__mult__distrib_0) ).
fof(f420,axiom,
! [X0,X1] :
( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
| ~ class_OrderedGroup_Ogroup__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__neg__iff__add__eq__0_0) ).
fof(f421,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
| ~ class_OrderedGroup_Ogroup__add(X0) ),
inference(reorient_equations,[],[f420]) ).
fof(f422,axiom,
! [X0,X1] :
( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
| ~ class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ab__left__minus_0) ).
fof(f423,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(reorient_equations,[],[f422]) ).
fof(f424,axiom,
! [X0,X1] :
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0)
| ~ class_OrderedGroup_Ogroup__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_right__minus_0) ).
fof(f425,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
| ~ class_OrderedGroup_Ogroup__add(X0) ),
inference(reorient_equations,[],[f424]) ).
fof(f428,axiom,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__0__less__mult__iff_0) ).
fof(f429,axiom,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__0__less__mult__iff_1) ).
fof(f431,axiom,
! [X2,X0,X1] :
( X1 = X2
| c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
| ~ class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__iff__diff__eq__0_1) ).
fof(f432,plain,
! [X2,X0,X1] :
( X1 = X2
| c_HOL_Ozero__class_Ozero(X0) != c_HOL_Ominus__class_Ominus(X1,X2,X0)
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(reorient_equations,[],[f431]) ).
fof(f433,axiom,
! [X2,X0,X1] :
( X1 = X2
| c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
| ~ class_OrderedGroup_Ogroup__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_right__minus__eq_0) ).
fof(f434,plain,
! [X2,X0,X1] :
( X1 = X2
| c_HOL_Ozero__class_Ozero(X0) != c_HOL_Ominus__class_Ominus(X1,X2,X0)
| ~ class_OrderedGroup_Ogroup__add(X0) ),
inference(reorient_equations,[],[f433]) ).
fof(f435,axiom,
! [X2,X0,X1] :
( X1 = X2
| c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
| ~ class_Int_Onumber__ring(X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Osubr0__iff_0) ).
fof(f436,plain,
! [X2,X0,X1] :
( X1 = X2
| c_HOL_Ozero__class_Ozero(X0) != c_HOL_Ominus__class_Ominus(X1,X2,X0)
| ~ class_Int_Onumber__ring(X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(reorient_equations,[],[f435]) ).
fof(f437,axiom,
! [X2,X3,X0,X1,X4] :
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X3,X0),c_HOL_Ominus__class_Ominus(X2,X4,X0),X0)
| ~ class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Deriv_Oadd__diff__add_0) ).
fof(f438,axiom,
! [X0,X1] :
( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__zero__left_0) ).
fof(f439,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(reorient_equations,[],[f438]) ).
fof(f447,axiom,
! [X2,X0,X1] :
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__mult__less__cancel1_1) ).
fof(f448,axiom,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| c_Suc(X0) = X1
| c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__lessI_0) ).
fof(f449,axiom,
! [X0,X1] :
( X1 = c_HOL_Oone__class_Oone(X0)
| c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oone__class_Oone(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inverse__eq__1__iff_0) ).
fof(f450,plain,
! [X0,X1] :
( c_HOL_Oone__class_Oone(X0) = X1
| c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oone__class_Oone(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(reorient_equations,[],[f449]) ).
fof(f456,axiom,
! [X2,X0,X1] :
( X1 = c_HOL_Ozero__class_Ozero(X0)
| X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| c_Polynomial_Osmult(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| ~ class_Ring__and__Field_Oidom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_smult__eq__0__iff_0) ).
fof(f457,plain,
! [X2,X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = X1
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = X2
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) != c_Polynomial_Osmult(X1,X2,X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(reorient_equations,[],[f456]) ).
fof(f458,axiom,
! [X2,X3,X0,X1,X4] :
( c_HOL_Oplus__class_Oplus(X1,X3,X0) = X4
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X2,X4,X0)
| ~ class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__cancel__21_0) ).
fof(f459,plain,
! [X2,X3,X0,X1,X4] :
( c_HOL_Oplus__class_Oplus(X1,X3,X0) = X4
| c_HOL_Oplus__class_Oplus(X2,X4,X0) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(reorient_equations,[],[f458]) ).
fof(f460,axiom,
! [X0] : ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_gr__implies__not0_0) ).
fof(f472,axiom,
! [X2,X0,X1] :
( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0)
| ~ class_Divides_Osemiring__div(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__mod__trivial_0) ).
fof(f473,plain,
! [X2,X0,X1] :
( c_Divides_Odiv__class_Omod(X1,X2,X0) = c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0)
| ~ class_Divides_Osemiring__div(X0) ),
inference(reorient_equations,[],[f472]) ).
fof(f478,axiom,
! [X0,X1] :
( c_Polynomial_Odegree(c_Polynomial_OpCons(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0) = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ class_HOL_Ozero(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_degree__pCons__0_0) ).
fof(f479,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_nat) = c_Polynomial_Odegree(c_Polynomial_OpCons(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0)
| ~ class_HOL_Ozero(X0) ),
inference(reorient_equations,[],[f478]) ).
fof(f491,axiom,
! [X2,X0,X1] :
( X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| c_Polynomial_Odegree(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X0)),X0) = c_HOL_Oplus__class_Oplus(c_Polynomial_Odegree(X1,X0),c_Polynomial_Odegree(X2,X0),tc_nat)
| ~ class_Ring__and__Field_Oidom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_degree__mult__eq_0) ).
fof(f492,plain,
! [X2,X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = X1
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = X2
| c_Polynomial_Odegree(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X0)),X0) = c_HOL_Oplus__class_Oplus(c_Polynomial_Odegree(X1,X0),c_Polynomial_Odegree(X2,X0),tc_nat)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(reorient_equations,[],[f491]) ).
fof(f493,axiom,
! [X0,X1] :
( c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1
| ~ class_Divides_Osemiring__div(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__by__0_0) ).
fof(f494,axiom,
! [X0,X1] :
( c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0)
| ~ class_Divides_Osemiring__div(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__self_0) ).
fof(f495,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = c_Divides_Odiv__class_Omod(X1,X1,X0)
| ~ class_Divides_Osemiring__div(X0) ),
inference(reorient_equations,[],[f494]) ).
fof(f496,axiom,
! [X2,X0,X1] :
( c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I24_J_0) ).
fof(f497,axiom,
! [X2,X3,X0,X1] :
( c_HOL_Oord__class_Oless(X0,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
| c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__add__eq__less_0) ).
fof(f498,axiom,
! [X0,X1] : c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__add__commute_0) ).
fof(f501,axiom,
! [X2,X0,X1] :
( X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| c_Polynomial_OpCons(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| ~ class_HOL_Ozero(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pCons__eq__0__iff_1) ).
fof(f502,plain,
! [X2,X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = X2
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) != c_Polynomial_OpCons(X1,X2,X0)
| ~ class_HOL_Ozero(X0) ),
inference(reorient_equations,[],[f501]) ).
fof(f503,axiom,
! [X2,X0,X1] :
( X1 = c_HOL_Ozero__class_Ozero(X0)
| c_Polynomial_OpCons(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| ~ class_HOL_Ozero(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pCons__eq__0__iff_0) ).
fof(f504,plain,
! [X2,X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = X1
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) != c_Polynomial_OpCons(X1,X2,X0)
| ~ class_HOL_Ozero(X0) ),
inference(reorient_equations,[],[f503]) ).
fof(f506,axiom,
! [X2,X0,X1] :
( X0 = X2
| X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__cancel2_0) ).
fof(f507,plain,
! [X2,X0,X1] :
( X0 = X2
| c_HOL_Ozero__class_Ozero(tc_nat) = X1
| c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) ),
inference(reorient_equations,[],[f506]) ).
fof(f508,axiom,
! [X2,X0,X1] :
( X1 = X2
| X0 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__cancel1_0) ).
fof(f509,plain,
! [X2,X0,X1] :
( X1 = X2
| c_HOL_Ozero__class_Ozero(tc_nat) = X0
| c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) ),
inference(reorient_equations,[],[f508]) ).
fof(f520,axiom,
! [X0,X1] :
( c_HOL_Oplus__class_Oplus(X1,X1,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X1,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I4_J_0) ).
fof(f532,axiom,
! [X2,X3,X0,X1,X4,X5] :
( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X3,X0),X2,X0)
| c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
| c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
| ~ class_Divides_Osemiring__div(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__add__cong_0) ).
fof(f534,axiom,
! [X0,X1] :
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| X0 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_one__is__add_2) ).
fof(f535,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_nat) = X1
| c_HOL_Ozero__class_Ozero(tc_nat) = X0
| c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
inference(reorient_equations,[],[f534]) ).
fof(f536,axiom,
! [X0,X1] :
( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
| X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
| c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_one__is__add_1) ).
fof(f537,plain,
! [X0,X1] :
( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = X0
| c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = X1
| c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
inference(reorient_equations,[],[f536]) ).
fof(f539,axiom,
! [X2,X0,X1] :
( c_HOL_Ouminus__class_Ouminus(X1,X0) = X2
| c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
| ~ class_OrderedGroup_Ogroup__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__unique_0) ).
fof(f540,plain,
! [X2,X0,X1] :
( c_HOL_Ouminus__class_Ouminus(X1,X0) = X2
| c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oplus__class_Oplus(X1,X2,X0)
| ~ class_OrderedGroup_Ogroup__add(X0) ),
inference(reorient_equations,[],[f539]) ).
fof(f541,axiom,
! [X2,X0,X1] :
( X1 = c_HOL_Ouminus__class_Ouminus(X2,X0)
| c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
| ~ class_OrderedGroup_Ogroup__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__neg__iff__add__eq__0_1) ).
fof(f542,plain,
! [X2,X0,X1] :
( c_HOL_Ouminus__class_Ouminus(X2,X0) = X1
| c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oplus__class_Oplus(X1,X2,X0)
| ~ class_OrderedGroup_Ogroup__add(X0) ),
inference(reorient_equations,[],[f541]) ).
fof(f545,axiom,
! [X2,X3,X0,X1] :
( X0 = X2
| X1 = X3
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_natgb_Onoteq__reduce_0) ).
fof(f554,axiom,
! [X0,X1] :
( X1 = c_HOL_Oone__class_Oone(tc_nat)
| X0 = c_HOL_Ozero__class_Ozero(tc_nat)
| X0 != c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__eq__self__implies__10_0) ).
fof(f555,plain,
! [X0,X1] :
( c_HOL_Oone__class_Oone(tc_nat) = X1
| c_HOL_Ozero__class_Ozero(tc_nat) = X0
| c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != X0 ),
inference(reorient_equations,[],[f554]) ).
fof(f556,axiom,
! [X2,X0,X1] :
( X1 = c_HOL_Ozero__class_Ozero(X0)
| c_Polynomial_Odegree(c_Polynomial_Omonom(X1,X2,X0),X0) = X2
| ~ class_HOL_Ozero(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_degree__monom__eq_0) ).
fof(f557,plain,
! [X2,X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = X1
| c_Polynomial_Odegree(c_Polynomial_Omonom(X1,X2,X0),X0) = X2
| ~ class_HOL_Ozero(X0) ),
inference(reorient_equations,[],[f556]) ).
fof(f558,axiom,
! [X0,X1] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__0__right_0) ).
fof(f559,axiom,
! [X2,X3,X0,X1,X4] :
( X2 = c_HOL_Ozero__class_Ozero(X0)
| X4 = c_HOL_Ozero__class_Ozero(X0)
| c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X4,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__frac__eq_0) ).
fof(f560,plain,
! [X2,X3,X0,X1,X4] :
( c_HOL_Ozero__class_Ozero(X0) = X2
| c_HOL_Ozero__class_Ozero(X0) = X4
| c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X4,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(reorient_equations,[],[f559]) ).
fof(f565,axiom,
! [X2,X0,X1] :
( X2 = c_HOL_Ozero__class_Ozero(X0)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X2,X0) = X1
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__divide__eq_0) ).
fof(f566,plain,
! [X2,X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = X2
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X2,X0) = X1
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(reorient_equations,[],[f565]) ).
fof(f567,axiom,
! [X0] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__is__0_2) ).
fof(f568,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(reorient_equations,[],[f567]) ).
fof(f569,axiom,
! [X0] : c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__is__0_1) ).
fof(f570,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),
inference(reorient_equations,[],[f569]) ).
fof(f571,axiom,
! [X0,X1] :
( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__poly__0__left_0) ).
fof(f572,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(reorient_equations,[],[f571]) ).
fof(f573,axiom,
! [X0,X1] :
( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__poly__0__right_0) ).
fof(f574,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(reorient_equations,[],[f573]) ).
fof(f576,axiom,
! [X2,X0,X1] :
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X2,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I2_J_0) ).
fof(f577,axiom,
! [X2,X0,X1] :
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X0),X0),X1,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I3_J_0) ).
fof(f578,axiom,
! [X0,X1] :
( c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
| ~ class_Divides_Osemiring__div(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__by__1_0) ).
fof(f579,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0)
| ~ class_Divides_Osemiring__div(X0) ),
inference(reorient_equations,[],[f578]) ).
fof(f587,axiom,
! [X0] : ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__not__refl_0) ).
fof(f594,axiom,
! [X0,X1] :
( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
| X0 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__is__1_0) ).
fof(f595,plain,
! [X0,X1] :
( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = X0
| c_HOL_Ozero__class_Ozero(tc_nat) = X0
| c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
inference(reorient_equations,[],[f594]) ).
fof(f596,axiom,
! [X0,X1] :
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
| c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__is__1_3) ).
fof(f597,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_nat) = X1
| c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = X1
| c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
inference(reorient_equations,[],[f596]) ).
fof(f602,axiom,
! [X0] :
( c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ class_HOL_Ozero(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_degree__0_0) ).
fof(f603,plain,
! [X0] :
( c_HOL_Ozero__class_Ozero(tc_nat) = c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0)
| ~ class_HOL_Ozero(X0) ),
inference(reorient_equations,[],[f602]) ).
fof(f608,axiom,
! [X2,X3,X0,X1] :
( X1 = c_HOL_Ouminus__class_Ouminus(X3,X0)
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != X2
| ~ class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__cancel__end_0) ).
fof(f609,plain,
! [X2,X3,X0,X1] :
( c_HOL_Ouminus__class_Ouminus(X3,X0) = X1
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != X2
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(reorient_equations,[],[f608]) ).
fof(f610,axiom,
! [X2,X3,X0,X1] :
( X2 = c_HOL_Ozero__class_Ozero(X0)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X3,X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__divide__mult__cancel__right_0) ).
fof(f611,plain,
! [X2,X3,X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = X2
| c_HOL_Oinverse__class_Odivide(X1,X3,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(reorient_equations,[],[f610]) ).
fof(f612,axiom,
! [X2,X3,X0,X1] :
( X1 = c_HOL_Ozero__class_Ozero(X0)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X3,X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__divide__mult__cancel__left_0) ).
fof(f613,plain,
! [X2,X3,X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = X1
| c_HOL_Oinverse__class_Odivide(X2,X3,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(reorient_equations,[],[f612]) ).
fof(f616,axiom,
! [X2,X3,X0,X1] :
( c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Osmult(X2,X3,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(X2,c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(X0)),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__smult__right_0) ).
fof(f617,axiom,
! [X2,X3,X0,X1] :
( c_HOL_Otimes__class_Otimes(c_Polynomial_Osmult(X1,X2,X0),X3,tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(X0)),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__smult__left_0) ).
fof(f631,axiom,
! [X2,X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__mult__less__cancel1_1) ).
fof(f633,axiom,
! [X2,X0,X1] :
( ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__mono1_0) ).
fof(f637,axiom,
! [X2,X0,X1] :
( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oplus__class_Oplus(X1,X2,X0)
| ~ class_OrderedGroup_Ogroup__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__minus__eq__add_0) ).
fof(f638,plain,
! [X2,X0,X1] :
( c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
| ~ class_OrderedGroup_Ogroup__add(X0) ),
inference(reorient_equations,[],[f637]) ).
fof(f639,axiom,
! [X2,X3,X0,X1] :
( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0)
| ~ class_Divides_Osemiring__div(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__mult__self2_0) ).
fof(f640,plain,
! [X2,X3,X0,X1] :
( c_Divides_Odiv__class_Omod(X1,X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X2,X0)
| ~ class_Divides_Osemiring__div(X0) ),
inference(reorient_equations,[],[f639]) ).
fof(f641,axiom,
! [X2,X3,X0,X1] :
( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0)
| ~ class_Divides_Osemiring__div(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__mult__self1_0) ).
fof(f642,plain,
! [X2,X3,X0,X1] :
( c_Divides_Odiv__class_Omod(X1,X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0)
| ~ class_Divides_Osemiring__div(X0) ),
inference(reorient_equations,[],[f641]) ).
fof(f643,axiom,
! [X2,X3,X0,X1] :
( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
| X3 = c_HOL_Ozero__class_Ozero(X0)
| c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__mult__cancel__right_0) ).
fof(f644,plain,
! [X2,X3,X0,X1] :
( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
| c_HOL_Ozero__class_Ozero(X0) = X3
| c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(reorient_equations,[],[f643]) ).
fof(f645,axiom,
! [X2,X3,X0,X1] :
( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
| X3 = c_HOL_Ozero__class_Ozero(X0)
| c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__mult__cancel__left_0) ).
fof(f646,plain,
! [X2,X3,X0,X1] :
( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
| c_HOL_Ozero__class_Ozero(X0) = X3
| c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(reorient_equations,[],[f645]) ).
fof(f650,axiom,
! [X0,X1] :
( X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0)
| ~ class_Int_Onumber__ring(X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Oadd__r0__iff_1) ).
fof(f651,plain,
! [X0,X1] :
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1
| ~ class_Int_Onumber__ring(X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(reorient_equations,[],[f650]) ).
fof(f652,axiom,
! [X0,X1] :
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Oadd__0_0) ).
fof(f654,axiom,
! [X0] : X0 = c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_natgb_Oadd__r0__iff_1) ).
fof(f655,plain,
! [X0] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X0,
inference(reorient_equations,[],[f654]) ).
fof(f657,axiom,
! [X0] : c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_plus__nat_Oadd__0_0) ).
fof(f658,axiom,
! [X0,X1] :
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I6_J_0) ).
fof(f661,axiom,
! [X2,X0,X1] :
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = X1
| ~ class_OrderedGroup_Ogroup__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__diff__cancel_0) ).
fof(f662,axiom,
! [X2,X3,X0,X1] :
( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__divide__distrib_0) ).
fof(f666,axiom,
! [X0,X1] :
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1
| ~ class_OrderedGroup_Ogroup__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__equation__iff_1) ).
fof(f673,axiom,
! [X2,X0,X1] :
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_HOL_Ominus__class_Ominus(X2,X1,X0)
| ~ class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__diff__eq_0) ).
fof(f674,plain,
! [X2,X0,X1] :
( c_HOL_Ominus__class_Ominus(X2,X1,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0)
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(reorient_equations,[],[f673]) ).
fof(f676,axiom,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
| c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__less__eq_0) ).
fof(f682,axiom,
! [X2,X3,X0,X1] :
( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X3,X0),X2,X0)
| ~ class_Divides_Osemiring__div(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__mult__mult2_0) ).
fof(f683,axiom,
! [X2,X3,X0,X1] :
( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
| ~ class_Divides_Osemiring__div(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__mult__mult1_0) ).
fof(f684,axiom,
! [X2,X3,X0,X1,X4] :
( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0)
| c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__dvd__mono_0) ).
fof(f694,axiom,
! [X0,X1] :
( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Omul__0_0) ).
fof(f695,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(reorient_equations,[],[f694]) ).
fof(f704,axiom,
! [X0,X1] :
( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I10_J_0) ).
fof(f705,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(reorient_equations,[],[f704]) ).
fof(f708,axiom,
! [X2,X3,X0,X1,X4,X5] :
( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X3,X0),X2,X0)
| c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
| c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
| ~ class_Divides_Osemiring__div(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__mult__cong_0) ).
fof(f711,axiom,
! [X2,X3,X0,X1,X4] :
( X1 = X3
| X2 = X4
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
| ~ class_Int_Onumber__ring(X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Oadd__mul__solve_0) ).
fof(f712,plain,
! [X2,X3,X0,X1,X4] :
( X1 = X3
| X2 = X4
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
| ~ class_Int_Onumber__ring(X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(reorient_equations,[],[f711]) ).
fof(f716,axiom,
! [X2,X3,X0,X1] :
( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
| c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__mult__cancel__right_2) ).
fof(f717,axiom,
! [X2,X3,X0,X1] :
( ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
| c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__mult__cancel__left_2) ).
fof(f718,axiom,
! [X2,X0,X1] :
( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inverse__mult__distrib_0) ).
fof(f723,axiom,
! [X0,X1] :
( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X1,X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_square__eq__iff_1) ).
fof(f724,plain,
! [X0,X1] :
( c_HOL_Otimes__class_Otimes(X1,X1,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(reorient_equations,[],[f723]) ).
fof(f730,axiom,
! [X2,X3,X0,X1] :
( ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__less__mono_0) ).
fof(f732,axiom,
! [X2,X0,X1] :
( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) = X2
| ~ class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__cancel__end_1) ).
fof(f733,axiom,
! [X2,X0,X1] :
( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) = X2
| ~ class_OrderedGroup_Ogroup__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__add__cancel_0) ).
fof(f734,axiom,
! [X0] :
( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inverse__eq__1__iff_1) ).
fof(f735,plain,
! [X0] :
( c_HOL_Oone__class_Oone(X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(reorient_equations,[],[f734]) ).
fof(f750,axiom,
! [X0] :
( c_HOL_Ozero__class_Ozero(X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0)
| ~ class_OrderedGroup_Ogroup__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__0__equal__iff__equal_1) ).
fof(f759,axiom,
! [X0] :
( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_gr0I_0) ).
fof(f760,plain,
! [X0] :
( c_HOL_Ozero__class_Ozero(tc_nat) = X0
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(reorient_equations,[],[f759]) ).
fof(f762,axiom,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_n__less__n__mult__m_0) ).
fof(f763,axiom,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_n__less__m__mult__n_0) ).
fof(f768,axiom,
! [X0] :
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| ~ class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__poly__code_I1_J_0) ).
fof(f769,plain,
! [X0] :
( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0))
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(reorient_equations,[],[f768]) ).
fof(f770,axiom,
! [X2,X0,X1] :
( c_HOL_Oinverse__class_Odivide(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__inverse_0) ).
fof(f772,axiom,
! [X2,X3,X0,X1] :
( ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
| c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0)
| ~ class_Divides_Osemiring__div(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__mod__cancel_0) ).
fof(f773,plain,
! [X2,X3,X0,X1] :
( ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
| c_Divides_Odiv__class_Omod(X1,X3,X0) = c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0)
| ~ class_Divides_Osemiring__div(X0) ),
inference(reorient_equations,[],[f772]) ).
fof(f776,axiom,
! [X0,X1] :
( c_Polynomial_Osmult(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| ~ class_Ring__and__Field_Oidom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_smult__eq__0__iff_2) ).
fof(f777,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(reorient_equations,[],[f776]) ).
fof(f778,axiom,
! [X0,X1] :
( c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| ~ class_Ring__and__Field_Oidom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_smult__eq__0__iff_1) ).
fof(f779,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(reorient_equations,[],[f778]) ).
fof(f780,axiom,
! [X0,X1] :
( c_Polynomial_Osmult(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_smult__0__right_0) ).
fof(f781,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(reorient_equations,[],[f780]) ).
fof(f782,axiom,
! [X0,X1] :
( c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_smult__0__left_0) ).
fof(f783,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(reorient_equations,[],[f782]) ).
fof(f790,axiom,
! [X0,X1] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__add__less2_0) ).
fof(f791,axiom,
! [X0,X1] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__add__less1_0) ).
fof(f792,axiom,
! [X2,X0,X1] :
( c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0)
| ~ class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Lim_Ominus__diff__minus_0) ).
fof(f793,plain,
! [X2,X0,X1] :
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(reorient_equations,[],[f792]) ).
fof(f805,axiom,
! [X2,X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__power_0) ).
fof(f806,axiom,
! [X2,X0,X1] :
( ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__less__mono1_0) ).
fof(f807,axiom,
! [X2,X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__add__left__cancel__less_0) ).
fof(f808,axiom,
! [X2,X0,X1] :
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__add__left__cancel__less_1) ).
fof(f818,axiom,
! [X2,X0,X1] :
( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
| ~ class_Divides_Osemiring__div(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__mult__self1__is__0_0) ).
fof(f819,plain,
! [X2,X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0)
| ~ class_Divides_Osemiring__div(X0) ),
inference(reorient_equations,[],[f818]) ).
fof(f820,axiom,
! [X2,X0,X1] :
( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0)
| ~ class_Divides_Osemiring__div(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__mult__self2__is__0_0) ).
fof(f821,plain,
! [X2,X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0)
| ~ class_Divides_Osemiring__div(X0) ),
inference(reorient_equations,[],[f820]) ).
fof(f830,axiom,
! [X2,X0,X1] :
( c_Polynomial_Omonom(X1,c_Suc(X2),X0) = c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_Polynomial_Omonom(X1,X2,X0),X0)
| ~ class_HOL_Ozero(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_monom__Suc_0) ).
fof(f832,axiom,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__divide__eq_2) ).
fof(f835,axiom,
! [X2,X3,X0,X1,X4] :
( c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0)
| X2 = c_HOL_Ozero__class_Ozero(X0)
| X4 = c_HOL_Ozero__class_Ozero(X0)
| c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_frac__eq__eq_0) ).
fof(f836,plain,
! [X2,X3,X0,X1,X4] :
( c_HOL_Otimes__class_Otimes(X3,X2,X0) = c_HOL_Otimes__class_Otimes(X1,X4,X0)
| c_HOL_Ozero__class_Ozero(X0) = X2
| c_HOL_Ozero__class_Ozero(X0) = X4
| c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(reorient_equations,[],[f835]) ).
fof(f837,axiom,
! [X2,X3,X0,X1,X4] :
( c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
| X4 = c_HOL_Ozero__class_Ozero(X0)
| X2 = c_HOL_Ozero__class_Ozero(X0)
| c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_frac__eq__eq_1) ).
fof(f838,plain,
! [X2,X3,X0,X1,X4] :
( c_HOL_Oinverse__class_Odivide(X3,X2,X0) = c_HOL_Oinverse__class_Odivide(X1,X4,X0)
| c_HOL_Ozero__class_Ozero(X0) = X4
| c_HOL_Ozero__class_Ozero(X0) = X2
| c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(reorient_equations,[],[f837]) ).
fof(f841,axiom,
! [X0,X1] :
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__eq__eq_4) ).
fof(f842,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),X1,X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(reorient_equations,[],[f841]) ).
fof(f843,axiom,
! [X2,X3,X0,X1] :
( X1 = X3
| c_Polynomial_Omonom(X1,X2,X0) != c_Polynomial_Omonom(X3,X2,X0)
| ~ class_HOL_Ozero(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_monom__eq__iff_0) ).
fof(f849,axiom,
! [X2,X0,X1] :
( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
| ~ class_OrderedGroup_Ogroup__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__add_0) ).
fof(f850,axiom,
! [X2,X0,X1] :
( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
| ~ class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__add__distrib_0) ).
fof(f859,axiom,
! [X2,X3,X0,X1] :
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I1_J_0) ).
fof(f861,axiom,
! [X2,X3,X0,X1] :
( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Omul__d_0) ).
fof(f867,axiom,
! [X2,X3,X0,X1] :
( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
| c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__mult__right_0) ).
fof(f868,axiom,
! [X2,X3,X0,X1] :
( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0)
| c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__mult__left_0) ).
fof(f869,axiom,
! [X2,X3,X0,X1] :
( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
| c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__mult2_0) ).
fof(f870,axiom,
! [X2,X3,X0,X1] :
( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
| c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__mult_0) ).
fof(f875,axiom,
! [X2,X3,X0,X1,X4] :
( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X4,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__frac__frac_0) ).
fof(f884,axiom,
! [X2,X0,X1] :
( X1 = X2
| X1 = c_HOL_Ouminus__class_Ouminus(X2,X0)
| c_HOL_Otimes__class_Otimes(X1,X1,X0) != c_HOL_Otimes__class_Otimes(X2,X2,X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_square__eq__iff_0) ).
fof(f885,plain,
! [X2,X0,X1] :
( X1 = X2
| c_HOL_Ouminus__class_Ouminus(X2,X0) = X1
| c_HOL_Otimes__class_Otimes(X1,X1,X0) != c_HOL_Otimes__class_Otimes(X2,X2,X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(reorient_equations,[],[f884]) ).
fof(f886,axiom,
! [X2,X3,X0,X1] :
( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0)
| ~ class_Divides_Osemiring__div(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zmod__simps_I4_J_0) ).
fof(f890,axiom,
! [X0,X1] :
( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Omul__1_0) ).
fof(f891,axiom,
! [X0,X1] :
( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I12_J_0) ).
fof(f893,axiom,
! [X2,X0,X1] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__triv__right_0) ).
fof(f894,axiom,
! [X2,X0,X1] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__triv__left_0) ).
fof(f896,axiom,
! [X2,X3,X0,X1] :
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
| ~ class_Int_Onumber__ring(X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Oadd__mul__solve_1) ).
fof(f903,axiom,
! [X2,X3,X0,X1] :
( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0)
| ~ class_Divides_Osemiring__div(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__mult__right__eq_0) ).
fof(f905,axiom,
! [X2,X3,X0,X1] :
( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__frac__num_0) ).
fof(f906,axiom,
! [X2,X3,X0,X1] :
( c_Polynomial_Osmult(X1,c_Polynomial_Osmult(X2,X3,X0),X0) = c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_smult__smult_0) ).
fof(f912,axiom,
! [X0,X1] :
( c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I33_J_0) ).
fof(f920,axiom,
! [X2,X3,X0,X1] :
( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__divide_0) ).
fof(f921,axiom,
! [X2,X3,X0,X1] :
( c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X0),X3,X0) = c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Opwr__pwr_0) ).
fof(f922,plain,
! [X2,X3,X0,X1] :
( c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X0) = c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X0),X3,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(reorient_equations,[],[f921]) ).
fof(f924,axiom,
! [X2,X3,X0,X1] :
( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
| c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__power__same_0) ).
fof(f925,axiom,
! [X2,X3,X0,X1] :
( c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(c_Polynomial_Omonom(c_HOL_Oone__class_Oone(X0),X1,X0),X2,tc_Polynomial_Opoly(X0)),X3,X0) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X3,X1,X0),c_Polynomial_Opoly(X2,X3,X0),X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_poly__replicate__append_0) ).
fof(f926,axiom,
! [X2,X3,X0,X1] :
( c_Polynomial_Opoly(c_Polynomial_OpCons(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X3,c_Polynomial_Opoly(X2,X3,X0),X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_poly__pCons_0) ).
fof(f927,axiom,
! [X0,X1] :
( c_Polynomial_Odegree(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)),X0) = c_Polynomial_Odegree(X1,X0)
| ~ class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_degree__minus_0) ).
fof(f928,plain,
! [X0,X1] :
( c_Polynomial_Odegree(X1,X0) = c_Polynomial_Odegree(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)),X0)
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(reorient_equations,[],[f927]) ).
fof(f937,axiom,
v_s____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sne_0) ).
fof(f938,axiom,
! [X2,X0,X1] :
( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I28_J_0) ).
fof(f939,plain,
! [X2,X0,X1] :
( c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(reorient_equations,[],[f938]) ).
fof(f940,axiom,
! [X2,X0,X1] :
( c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I27_J_0) ).
fof(f941,axiom,
! [X2,X3,X0,X1] :
( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) = c_Power_Opower__class_Opower(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Omul__pwr_0) ).
fof(f951,axiom,
! [X2,X3,X0,X1] :
( c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X0)),X3,X0) = c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(X1,X3,X0),c_Polynomial_Opoly(X2,X3,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_poly__mult_0) ).
fof(f952,axiom,
! [X2,X3,X0,X1] :
( c_Polynomial_Opoly(c_Polynomial_Osmult(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Opoly(X2,X3,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_poly__smult_0) ).
fof(f953,axiom,
! [X2,X3,X0,X1] :
( c_Polynomial_Opoly(c_Power_Opower__class_Opower(X1,X2,tc_Polynomial_Opoly(X0)),X3,X0) = c_Power_Opower__class_Opower(c_Polynomial_Opoly(X1,X3,X0),X2,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_poly__power_0) ).
fof(f954,axiom,
c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ds0_0) ).
fof(f955,plain,
c_HOL_Ozero__class_Ozero(tc_nat) != c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),
inference(reorient_equations,[],[f954]) ).
fof(f956,axiom,
! [X2,X3,X0,X1] :
( c_Polynomial_Opoly(c_Polynomial_Omonom(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X3,X2,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_poly__monom_0) ).
fof(f957,axiom,
c_Power_Opower__class_Opower(v_r____,c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Otimes__class_Otimes(v_s____,v_u____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_u_0) ).
fof(f958,axiom,
! [X0] :
( c_Polynomial_Opoly(v_r____,X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Polynomial_Opoly(v_s____,X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_impth_0) ).
fof(f959,plain,
! [X0] :
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_r____,X0,tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_s____,X0,tc_Complex_Ocomplex) ),
inference(reorient_equations,[],[f958]) ).
fof(f962,axiom,
! [X2,X3,X0,X1] :
( c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Omul__a_0) ).
fof(f963,axiom,
! [X2,X3,X0,X1] :
( c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I19_J_0) ).
fof(f967,axiom,
! [X2,X3,X0,X1] :
( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I16_J_0) ).
fof(f971,axiom,
! [X2,X3,X0,X1] :
( c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Opwr__mul_0) ).
fof(f977,axiom,
! [X2,X3,X0,X1,X4] :
( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I13_J_0) ).
fof(f978,axiom,
! [X2,X0,X1] :
( c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Omul__c_0) ).
fof(f981,negated_conjecture,
c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(v_s____,v_x,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_u____,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Power_Opower__class_Opower(c_Polynomial_Opoly(v_r____,v_x,tc_Complex_Ocomplex),c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f994,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ocomm__semiring__1) ).
fof(f995,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ocomm__semiring__0) ).
fof(f1007,axiom,
class_Divides_Osemiring__div(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Divides_Osemiring__div) ).
fof(f1013,axiom,
class_HOL_Ozero(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__HOL_Ozero) ).
fof(f1019,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero) ).
fof(f1020,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).
fof(f1021,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).
fof(f1031,axiom,
class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring__1) ).
fof(f1033,axiom,
class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add) ).
fof(f1039,axiom,
class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add) ).
fof(f1042,axiom,
class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ofield) ).
fof(f1044,axiom,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oidom) ).
fof(f1046,axiom,
class_Int_Onumber__ring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Int_Onumber__ring) ).
fof(f1048,axiom,
class_HOL_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__HOL_Ozero) ).
fof(f1064,axiom,
! [X0] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__1) ).
fof(f1065,axiom,
! [X0] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__0) ).
fof(f1074,axiom,
! [X0] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring__1) ).
fof(f1076,axiom,
! [X0] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__OrderedGroup_Oab__group__add) ).
fof(f1082,axiom,
! [X0] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__OrderedGroup_Ogroup__add) ).
fof(f1085,axiom,
! [X0] :
( ~ class_Ring__and__Field_Ofield(X0)
| class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Divides_Osemiring__div) ).
fof(f1087,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oidom(X0)
| class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Ring__and__Field_Oidom) ).
fof(f1093,axiom,
! [X0] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| class_Int_Onumber__ring(tc_Polynomial_Opoly(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Int_Onumber__ring) ).
fof(f1095,axiom,
! [X0] :
( ~ class_HOL_Ozero(X0)
| class_HOL_Ozero(tc_Polynomial_Opoly(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__HOL_Ozero) ).
fof(f1096,plain,
! [X2,X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = X2
| c_Polynomial_Odegree(c_Polynomial_OpCons(X1,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_Polynomial_Odegree(X2,X0),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ class_HOL_Ozero(X0) ),
inference(definition_unfolding,[],[f330,f339]) ).
fof(f1099,plain,
! [X2,X0,X1] :
( c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(definition_unfolding,[],[f940,f339]) ).
fof(f1100,plain,
! [X2,X0,X1] :
( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_Power_Opower__class_Opower(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(definition_unfolding,[],[f939,f339]) ).
fof(f1101,plain,
! [X2,X0,X1] :
( c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_Polynomial_Omonom(X1,X2,X0),X0) = c_Polynomial_Omonom(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0)
| ~ class_HOL_Ozero(X0) ),
inference(definition_unfolding,[],[f830,f339]) ).
fof(f1103,plain,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
inference(definition_unfolding,[],[f763,f339,f339]) ).
fof(f1104,plain,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
inference(definition_unfolding,[],[f762,f339,f339]) ).
fof(f1108,plain,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(definition_unfolding,[],[f676,f339,f339]) ).
fof(f1110,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_nat) = X1
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X1
| c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(definition_unfolding,[],[f597,f339,f339]) ).
fof(f1111,plain,
! [X0,X1] :
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X0
| c_HOL_Ozero__class_Ozero(tc_nat) = X0
| c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(definition_unfolding,[],[f595,f339,f339]) ).
fof(f1117,plain,
! [X0,X1] :
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X0
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X1
| c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(definition_unfolding,[],[f537,f339,f339,f339]) ).
fof(f1118,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_nat) = X1
| c_HOL_Ozero__class_Ozero(tc_nat) = X0
| c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(definition_unfolding,[],[f535,f339]) ).
fof(f1125,plain,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X1
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) ),
inference(definition_unfolding,[],[f448,f339,f339]) ).
fof(f1126,plain,
! [X2,X0,X1] :
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat) ),
inference(definition_unfolding,[],[f447,f339,f339]) ).
fof(f1129,plain,
! [X0] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(definition_unfolding,[],[f416,f339]) ).
fof(f1130,plain,
! [X0] :
( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| c_HOL_Ozero__class_Ozero(tc_nat) = X0
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X0 ),
inference(definition_unfolding,[],[f409,f339,f339,f339]) ).
fof(f1131,plain,
! [X0] :
( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| c_HOL_Ozero__class_Ozero(tc_nat) = X0 ),
inference(definition_unfolding,[],[f349,f339]) ).
fof(f1135,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_nat) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
inference(definition_unfolding,[],[f320,f339]) ).
fof(f1136,plain,
! [X0,X1] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(definition_unfolding,[],[f318,f339]) ).
fof(f1137,plain,
! [X0,X1] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(definition_unfolding,[],[f317,f339]) ).
fof(f1142,plain,
! [X0,X1] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),
inference(definition_unfolding,[],[f297,f339,f339]) ).
fof(f1143,plain,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
inference(definition_unfolding,[],[f296,f339,f339,f339]) ).
fof(f1144,plain,
! [X0,X1] :
( c_HOL_Oord__class_Oless(X1,X0,tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(definition_unfolding,[],[f220,f339]) ).
fof(f1145,plain,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(definition_unfolding,[],[f219,f339]) ).
fof(f1149,plain,
! [X0,X1] : c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),
inference(definition_unfolding,[],[f125,f339]) ).
fof(f1150,plain,
! [X0,X1] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(definition_unfolding,[],[f124,f339]) ).
fof(f1151,plain,
! [X2,X0,X1] :
( ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) ),
inference(definition_unfolding,[],[f86,f339]) ).
fof(f1153,plain,
! [X0] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(definition_unfolding,[],[f84,f339]) ).
fof(f1155,plain,
! [X0] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) != X0,
inference(definition_unfolding,[],[f41,f339]) ).
fof(f1158,plain,
! [X2,X0,X1] :
( X1 = X2
| c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) != c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat) ),
inference(definition_unfolding,[],[f23,f339,f339]) ).
fof(f1160,plain,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(definition_unfolding,[],[f14,f339]) ).
tcf(c_895,negated_conjecture,
c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(v_s____,v_x,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_u____,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Power_Opower__class_Opower(c_Polynomial_Opoly(v_r____,v_x,tc_Complex_Ocomplex),c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f981]) ).
tcf(c_899,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(cnf_transformation,[],[f633]) ).
tcf(c_901,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(cnf_transformation,[],[f631]) ).
tcf(c_902,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(cnf_transformation,[],[f570]) ).
tcf(c_903,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(cnf_transformation,[],[f568]) ).
tcf(c_905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( X0 = X2 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ) ),
inference(cnf_transformation,[],[f545]) ).
tcf(c_907,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ) ),
inference(cnf_transformation,[],[f509]) ).
tcf(c_908,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ) ),
inference(cnf_transformation,[],[f507]) ).
tcf(c_909,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
inference(cnf_transformation,[],[f429]) ).
tcf(c_910,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
inference(cnf_transformation,[],[f428]) ).
tcf(c_911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),X3,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),X3,tc_nat),
inference(cnf_transformation,[],[f419]) ).
tcf(c_912,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
inference(cnf_transformation,[],[f406]) ).
tcf(c_913,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
inference(cnf_transformation,[],[f405]) ).
tcf(c_914,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ) ),
inference(cnf_transformation,[],[f404]) ).
tcf(c_915,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),
inference(cnf_transformation,[],[f361]) ).
tcf(c_918,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),
inference(cnf_transformation,[],[f183]) ).
tcf(c_919,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),
inference(cnf_transformation,[],[f182]) ).
tcf(c_920,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),
inference(cnf_transformation,[],[f181]) ).
tcf(c_921,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_922,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_923,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_924,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat) ) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_928,plain,
! [X0: $i,X1: $i] :
( ( c_Polynomial_Odegree(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)),X0) = c_Polynomial_Odegree(X1,X0) )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(cnf_transformation,[],[f928]) ).
tcf(c_929,plain,
! [X0: $i] :
( ( c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_HOL_Ozero(X0) ),
inference(cnf_transformation,[],[f603]) ).
tcf(c_930,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(X0) = X1 )
| ( c_Polynomial_Odegree(c_Polynomial_Omonom(X1,X2,X0),X0) = X2 )
| ~ class_HOL_Ozero(X0) ),
inference(cnf_transformation,[],[f557]) ).
tcf(c_931,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_Polynomial_Odegree(X1,X0),c_Polynomial_Odegree(X2,X0),tc_nat) = c_Polynomial_Odegree(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X0)),X0) )
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(cnf_transformation,[],[f492]) ).
tcf(c_932,plain,
! [X0: $i,X1: $i] :
( ( c_Polynomial_Odegree(c_Polynomial_OpCons(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_HOL_Ozero(X0) ),
inference(cnf_transformation,[],[f479]) ).
tcf(c_933,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_Polynomial_Odegree(X1,X0),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_Polynomial_Odegree(c_Polynomial_OpCons(X2,X1,X0),X0) )
| ~ class_HOL_Ozero(X0) ),
inference(cnf_transformation,[],[f1096]) ).
tcf(c_934,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Polynomial_Odegree(c_Power_Opower__class_Opower(c_Polynomial_OpCons(X1,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),X2,tc_Polynomial_Opoly(X0)),X0) = X2 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f264]) ).
tcf(c_935,plain,
! [X0: $i,X1: $i] :
( ( c_Polynomial_Odegree(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X0),X1,X0),X0) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_936,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(X0) = X1 )
| ( c_Polynomial_Odegree(c_Polynomial_Osmult(X1,X2,X0),X0) = c_Polynomial_Odegree(X2,X0) )
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f971]) ).
tcf(c_940,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) = c_Power_Opower__class_Opower(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f941]) ).
tcf(c_941,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Power_Opower__class_Opower(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0) = c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f1099]) ).
tcf(c_942,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Power_Opower__class_Opower(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f1100]) ).
tcf(c_943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X3,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2) ),
inference(cnf_transformation,[],[f924]) ).
tcf(c_944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X0),X3,X0) = c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f922]) ).
tcf(c_945,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) )
| ~ class_Ring__and__Field_Ofield(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
inference(cnf_transformation,[],[f920]) ).
tcf(c_946,plain,
! [X0: $i,X1: $i] :
( ( c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f912]) ).
tcf(c_947,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_Power_Opower__class_Opower(X2,X0,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(cnf_transformation,[],[f805]) ).
tcf(c_951,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X2,X0) )
| ~ class_Ring__and__Field_Ofield(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_954,plain,
! [X0: $i,X1: $i] :
( ( c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X2,X3,X0),X0) = c_Polynomial_Opoly(c_Polynomial_Omonom(X1,X3,X0),X2,X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f956]) ).
tcf(c_956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Polynomial_Opoly(c_Power_Opower__class_Opower(X1,X2,tc_Polynomial_Opoly(X0)),X3,X0) = c_Power_Opower__class_Opower(c_Polynomial_Opoly(X1,X3,X0),X2,X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f953]) ).
tcf(c_957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Opoly(X2,X3,X0),X0) = c_Polynomial_Opoly(c_Polynomial_Osmult(X1,X2,X0),X3,X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(cnf_transformation,[],[f952]) ).
tcf(c_958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(X1,X2,X0),c_Polynomial_Opoly(X3,X2,X0),X0) = c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(X0)),X2,X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(cnf_transformation,[],[f951]) ).
tcf(c_959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,c_Polynomial_Opoly(X3,X2,X0),X0),X0) = c_Polynomial_Opoly(c_Polynomial_OpCons(X1,X3,X0),X2,X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(cnf_transformation,[],[f926]) ).
tcf(c_960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(c_Polynomial_Omonom(c_HOL_Oone__class_Oone(X0),X1,X0),X2,tc_Polynomial_Opoly(X0)),X3,X0) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X3,X1,X0),c_Polynomial_Opoly(X2,X3,X0),X0) )
| ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
inference(cnf_transformation,[],[f925]) ).
tcf(c_961,plain,
! [X0: $i,X1: $i] :
( ( c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(cnf_transformation,[],[f251]) ).
tcf(c_962,plain,
! [X0: $i,X1: $i] :
( ( c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(cnf_transformation,[],[f249]) ).
tcf(c_963,plain,
class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1042]) ).
tcf(c_964,plain,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1020]) ).
tcf(c_965,plain,
class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1019]) ).
tcf(c_966,plain,
c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(cnf_transformation,[],[f955]) ).
tcf(c_967,plain,
c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_s____,
inference(cnf_transformation,[],[f937]) ).
tcf(c_969,plain,
! [X0: $i] :
( ( c_Polynomial_Opoly(v_r____,X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_Polynomial_Opoly(v_s____,X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(cnf_transformation,[],[f959]) ).
tcf(c_970,plain,
c_Power_Opower__class_Opower(v_r____,c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Otimes__class_Otimes(v_s____,v_u____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(cnf_transformation,[],[f957]) ).
tcf(c_971,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(cnf_transformation,[],[f808]) ).
tcf(c_972,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat) ),
inference(cnf_transformation,[],[f807]) ).
tcf(c_973,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(cnf_transformation,[],[f806]) ).
tcf(c_974,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X0,tc_nat),
inference(cnf_transformation,[],[f791]) ).
tcf(c_975,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat),
inference(cnf_transformation,[],[f790]) ).
tcf(c_977,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 ) ),
inference(cnf_transformation,[],[f760]) ).
tcf(c_978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(cnf_transformation,[],[f730]) ).
tcf(c_980,plain,
! [X0: $i] : ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat),
inference(cnf_transformation,[],[f587]) ).
tcf(c_981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X0,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat) ) ),
inference(cnf_transformation,[],[f497]) ).
tcf(c_983,plain,
! [X0: $i] : ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(cnf_transformation,[],[f460]) ).
tcf(c_984,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) ),
inference(cnf_transformation,[],[f383]) ).
tcf(c_987,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_990,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_991,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_993,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,X0,tc_nat)
| c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_994,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = X0,
inference(cnf_transformation,[],[f657]) ).
tcf(c_996,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X0,
inference(cnf_transformation,[],[f655]) ).
tcf(c_997,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),
inference(cnf_transformation,[],[f498]) ).
tcf(c_998,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat),
inference(cnf_transformation,[],[f374]) ).
tcf(c_999,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),
inference(cnf_transformation,[],[f373]) ).
tcf(c_1002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) ) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_1003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) ) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_1005,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != X0 ) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_1006,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_1007,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_1008,plain,
! [X0: $i] :
( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f1064]) ).
tcf(c_1009,plain,
! [X0: $i] :
( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X0))
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(cnf_transformation,[],[f1082]) ).
tcf(c_1010,plain,
! [X0: $i] :
( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X0))
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(cnf_transformation,[],[f1076]) ).
tcf(c_1011,plain,
class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1033]) ).
tcf(c_1012,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(cnf_transformation,[],[f850]) ).
tcf(c_1013,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(cnf_transformation,[],[f793]) ).
tcf(c_1014,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(cnf_transformation,[],[f769]) ).
tcf(c_1015,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) = X2 )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(cnf_transformation,[],[f732]) ).
tcf(c_1016,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_HOL_Ominus__class_Ominus(X2,X1,X0) )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(cnf_transformation,[],[f674]) ).
tcf(c_1017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X2,X3) = X0 )
| ~ class_OrderedGroup_Oab__group__add(X3)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) != X1 ) ),
inference(cnf_transformation,[],[f609]) ).
tcf(c_1018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X2,X3) = X4 )
| ~ class_OrderedGroup_Oab__group__add(X3)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) != c_HOL_Oplus__class_Oplus(X1,X4,X3) ) ),
inference(cnf_transformation,[],[f459]) ).
tcf(c_1019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X3,X0),c_HOL_Ominus__class_Ominus(X2,X4,X0),X0) )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(cnf_transformation,[],[f437]) ).
tcf(c_1020,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ class_OrderedGroup_Oab__group__add(X2)
| ( c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2) ) ),
inference(cnf_transformation,[],[f432]) ).
tcf(c_1021,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(cnf_transformation,[],[f423]) ).
tcf(c_1023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ~ class_OrderedGroup_Oab__group__add(X1)
| ( c_HOL_Ominus__class_Ominus(X0,X0,X1) != c_HOL_Ominus__class_Ominus(X2,X3,X1) ) ),
inference(cnf_transformation,[],[f401]) ).
tcf(c_1024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(cnf_transformation,[],[f375]) ).
tcf(c_1026,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(cnf_transformation,[],[f254]) ).
tcf(c_1027,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_OpCons(X1,X2,X0),tc_Polynomial_Opoly(X0)) )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_1028,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_1029,plain,
! [X0: $i] :
( class_HOL_Ozero(tc_Polynomial_Opoly(X0))
| ~ class_HOL_Ozero(X0) ),
inference(cnf_transformation,[],[f1095]) ).
tcf(c_1030,plain,
class_HOL_Ozero(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1048]) ).
tcf(c_1031,plain,
class_HOL_Ozero(tc_nat),
inference(cnf_transformation,[],[f1013]) ).
tcf(c_1032,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(X2) = X0 )
| ~ class_HOL_Ozero(X2)
| ( c_Polynomial_OpCons(X0,X1,X2) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) ) ),
inference(cnf_transformation,[],[f504]) ).
tcf(c_1033,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X1 )
| ~ class_HOL_Ozero(X2)
| ( c_Polynomial_OpCons(X0,X1,X2) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) ) ),
inference(cnf_transformation,[],[f502]) ).
tcf(c_1034,plain,
! [X0: $i] :
( ( c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) )
| ~ class_HOL_Ozero(X0) ),
inference(cnf_transformation,[],[f289]) ).
tcf(c_1035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X4 )
| ~ class_HOL_Ozero(X2)
| ( c_Polynomial_OpCons(X0,X1,X2) != c_Polynomial_OpCons(X3,X4,X2) ) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_1036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X3 )
| ~ class_HOL_Ozero(X2)
| ( c_Polynomial_OpCons(X0,X1,X2) != c_Polynomial_OpCons(X3,X4,X2) ) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_1037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ~ class_HOL_Ozero(X2)
| ( c_Polynomial_Omonom(X0,X1,X2) != c_Polynomial_Omonom(X3,X1,X2) ) ),
inference(cnf_transformation,[],[f843]) ).
tcf(c_1038,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_Polynomial_Omonom(X1,X2,X0),X0) = c_Polynomial_Omonom(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0) )
| ~ class_HOL_Ozero(X0) ),
inference(cnf_transformation,[],[f1101]) ).
tcf(c_1039,plain,
! [X0: $i,X1: $i] :
( ( c_Polynomial_Omonom(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) )
| ~ class_HOL_Ozero(X0) ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_1040,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_Polynomial_Omonom(X1,X2,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_Omonom(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(cnf_transformation,[],[f303]) ).
tcf(c_1041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Otimes__class_Otimes(c_Polynomial_Omonom(X1,X2,X0),c_Polynomial_Omonom(X3,X4,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_Omonom(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X4,tc_nat),X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(cnf_transformation,[],[f283]) ).
tcf(c_1042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Polynomial_Omonom(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_Polynomial_Osmult(X1,c_Polynomial_Omonom(X2,X3,X0),X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(cnf_transformation,[],[f221]) ).
tcf(c_1043,plain,
! [X0: $i,X1: $i] :
( ( c_Polynomial_OpCons(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_Polynomial_Omonom(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) )
| ~ class_HOL_Ozero(X0) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_1044,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(X2) = X0 )
| ~ class_HOL_Ozero(X2)
| ( c_Polynomial_Omonom(X0,X1,X2) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) ) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_1045,plain,
! [X0: $i] :
( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X0))
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(cnf_transformation,[],[f1087]) ).
tcf(c_1046,plain,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1044]) ).
tcf(c_1047,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Ouminus__class_Ouminus(X2,X1) = X0 )
| ~ class_Ring__and__Field_Oidom(X1)
| ( c_HOL_Otimes__class_Otimes(X0,X0,X1) != c_HOL_Otimes__class_Otimes(X2,X2,X1) ) ),
inference(cnf_transformation,[],[f885]) ).
tcf(c_1048,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X1,X0) )
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(cnf_transformation,[],[f724]) ).
tcf(c_1049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
| ~ class_Ring__and__Field_Oidom(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2) ),
inference(cnf_transformation,[],[f717]) ).
tcf(c_1050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ class_Ring__and__Field_Oidom(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2) ),
inference(cnf_transformation,[],[f716]) ).
tcf(c_1051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
| ( c_HOL_Ozero__class_Ozero(X2) = X0 )
| ~ class_Ring__and__Field_Oidom(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) ),
inference(cnf_transformation,[],[f646]) ).
tcf(c_1052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
| ( c_HOL_Ozero__class_Ozero(X2) = X1 )
| ~ class_Ring__and__Field_Oidom(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) ),
inference(cnf_transformation,[],[f644]) ).
tcf(c_1053,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_1054,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X0),X0),X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_1055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X2)
| ( c_Polynomial_OpCons(X0,X1,X2) != c_Polynomial_Osmult(X3,X1,X2) ) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_1056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Polynomial_OpCons(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_Polynomial_Osmult(X1,X3,X0),X0) = c_Polynomial_Osmult(X1,c_Polynomial_OpCons(X2,X3,X0),X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_1058,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat) ),
inference(cnf_transformation,[],[f1103]) ).
tcf(c_1059,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat) ),
inference(cnf_transformation,[],[f1104]) ).
tcf(c_1063,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(cnf_transformation,[],[f1108]) ).
tcf(c_1065,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) ) ),
inference(cnf_transformation,[],[f1110]) ).
tcf(c_1066,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) ) ),
inference(cnf_transformation,[],[f1111]) ).
tcf(c_1072,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) ) ),
inference(cnf_transformation,[],[f1117]) ).
tcf(c_1073,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) ) ),
inference(cnf_transformation,[],[f1118]) ).
tcf(c_1080,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X1 )
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(cnf_transformation,[],[f1125]) ).
tcf(c_1081,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(cnf_transformation,[],[f1126]) ).
tcf(c_1084,plain,
! [X0: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(cnf_transformation,[],[f1129]) ).
tcf(c_1085,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X0 )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(cnf_transformation,[],[f1130]) ).
tcf(c_1086,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(cnf_transformation,[],[f1131]) ).
tcf(c_1090,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(cnf_transformation,[],[f1135]) ).
tcf(c_1091,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(cnf_transformation,[],[f1136]) ).
tcf(c_1092,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(cnf_transformation,[],[f1137]) ).
tcf(c_1097,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(cnf_transformation,[],[f1142]) ).
tcf(c_1098,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat) ),
inference(cnf_transformation,[],[f1143]) ).
tcf(c_1099,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,X0,tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(cnf_transformation,[],[f1144]) ).
tcf(c_1100,plain,
! [X0: $i,X1: $i] :
( ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(cnf_transformation,[],[f1145]) ).
tcf(c_1104,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),
inference(cnf_transformation,[],[f1149]) ).
tcf(c_1105,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),
inference(cnf_transformation,[],[f1150]) ).
tcf(c_1106,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(cnf_transformation,[],[f1151]) ).
tcf(c_1108,plain,
! [X0: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(cnf_transformation,[],[f1153]) ).
tcf(c_1110,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) != X0,
inference(cnf_transformation,[],[f1155]) ).
tcf(c_1113,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) != c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat) ) ),
inference(cnf_transformation,[],[f1158]) ).
tcf(c_1115,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(cnf_transformation,[],[f1160]) ).
tcf(c_1117,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f891]) ).
tcf(c_1118,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f890]) ).
tcf(c_1122,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X2,X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f577]) ).
tcf(c_1123,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X2,X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f576]) ).
tcf(c_1124,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oone__class_Oone(tc_nat) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != X0 ) ),
inference(cnf_transformation,[],[f555]) ).
tcf(c_1125,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X1,X0) = c_HOL_Oplus__class_Oplus(X1,X1,X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f520]) ).
tcf(c_1126,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oone__class_Oone(tc_nat) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(cnf_transformation,[],[f399]) ).
tcf(c_1127,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oone__class_Oone(tc_nat) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(cnf_transformation,[],[f397]) ).
tcf(c_1128,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X0,
inference(cnf_transformation,[],[f334]) ).
tcf(c_1129,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) = X0,
inference(cnf_transformation,[],[f333]) ).
tcf(c_1131,plain,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
inference(cnf_transformation,[],[f994]) ).
tcf(c_1133,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f978]) ).
tcf(c_1134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f977]) ).
tcf(c_1137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f967]) ).
tcf(c_1140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f963]) ).
tcf(c_1141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f962]) ).
tcf(c_1143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f861]) ).
tcf(c_1144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f859]) ).
tcf(c_1146,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f705]) ).
tcf(c_1147,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f695]) ).
tcf(c_1149,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f658]) ).
tcf(c_1150,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f652]) ).
tcf(c_1152,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f496]) ).
tcf(c_1154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f380]) ).
tcf(c_1155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f379]) ).
tcf(c_1157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f372]) ).
tcf(c_1158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X4,X0),X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f247]) ).
tcf(c_1159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_Polynomial_Osmult(X1,c_Polynomial_Osmult(X2,X3,X0),X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(cnf_transformation,[],[f906]) ).
tcf(c_1160,plain,
! [X0: $i,X1: $i] :
( ( c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(cnf_transformation,[],[f783]) ).
tcf(c_1161,plain,
! [X0: $i,X1: $i] :
( ( c_Polynomial_Osmult(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(cnf_transformation,[],[f781]) ).
tcf(c_1162,plain,
! [X0: $i,X1: $i] :
( ( c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(cnf_transformation,[],[f779]) ).
tcf(c_1163,plain,
! [X0: $i,X1: $i] :
( ( c_Polynomial_Osmult(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(cnf_transformation,[],[f777]) ).
tcf(c_1164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(c_Polynomial_Osmult(X1,X2,X0),X3,tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(X0)),X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(cnf_transformation,[],[f617]) ).
tcf(c_1165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Osmult(X2,X3,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(X2,c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(X0)),X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(cnf_transformation,[],[f616]) ).
tcf(c_1166,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(X2) = X0 )
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X1 )
| ~ class_Ring__and__Field_Oidom(X2)
| ( c_Polynomial_Osmult(X0,X1,X2) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) ) ),
inference(cnf_transformation,[],[f457]) ).
tcf(c_1167,plain,
! [X0: $i,X1: $i] :
( ( c_Polynomial_Osmult(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f230]) ).
tcf(c_1168,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f894]) ).
tcf(c_1169,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f893]) ).
tcf(c_1170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2) ),
inference(cnf_transformation,[],[f870]) ).
tcf(c_1171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2) ),
inference(cnf_transformation,[],[f869]) ).
tcf(c_1172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) ),
inference(cnf_transformation,[],[f868]) ).
tcf(c_1173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) ),
inference(cnf_transformation,[],[f867]) ).
tcf(c_1175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X3,X1,X2),X0,X2) = c_Divides_Odiv__class_Omod(X3,X0,X2) )
| ~ class_Divides_Osemiring__div(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2) ),
inference(cnf_transformation,[],[f773]) ).
tcf(c_1176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2) ),
inference(cnf_transformation,[],[f684]) ).
tcf(c_1181,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f558]) ).
tcf(c_1182,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(X0) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_1183,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
| ~ class_Divides_Osemiring__div(X2)
| ( c_Divides_Odiv__class_Omod(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2) ) ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_1184,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(X1,X0,X2) = c_HOL_Ozero__class_Ozero(X2) )
| ~ class_Divides_Osemiring__div(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2) ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_1185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2) ),
inference(cnf_transformation,[],[f232]) ).
tcf(c_1186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X3,X2),X2)
| ~ class_Divides_Osemiring__div(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_1187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
| ~ class_Divides_Osemiring__div(X3)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_1190,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_1191,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_1192,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_1193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) )
| ~ class_Ring__and__Field_Ofield(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
inference(cnf_transformation,[],[f905]) ).
tcf(c_1194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X3,X0),c_HOL_Oinverse__class_Odivide(X2,X4,X0),X0) )
| ~ class_Ring__and__Field_Ofield(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
inference(cnf_transformation,[],[f875]) ).
tcf(c_1195,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Ring__and__Field_Ofield(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
inference(cnf_transformation,[],[f842]) ).
tcf(c_1196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(X2) = X4 )
| ( c_HOL_Ozero__class_Ozero(X2) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X0,X4,X2) = c_HOL_Oinverse__class_Odivide(X3,X1,X2) )
| ~ class_Ring__and__Field_Ofield(X2)
| ( c_HOL_Otimes__class_Otimes(X0,X1,X2) != c_HOL_Otimes__class_Otimes(X3,X4,X2) ) ),
inference(cnf_transformation,[],[f838]) ).
tcf(c_1197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(X2) = X4 )
| ( c_HOL_Ozero__class_Ozero(X2) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,X4,X2) = c_HOL_Otimes__class_Otimes(X3,X1,X2) )
| ~ class_Ring__and__Field_Ofield(X2)
| ( c_HOL_Oinverse__class_Odivide(X0,X1,X2) != c_HOL_Oinverse__class_Odivide(X3,X4,X2) ) ),
inference(cnf_transformation,[],[f836]) ).
tcf(c_1198,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Ring__and__Field_Ofield(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
inference(cnf_transformation,[],[f832]) ).
tcf(c_1199,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) )
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(cnf_transformation,[],[f770]) ).
tcf(c_1200,plain,
! [X0: $i] :
( ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) )
| ~ class_Ring__and__Field_Ofield(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
inference(cnf_transformation,[],[f735]) ).
tcf(c_1201,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) )
| ~ class_Ring__and__Field_Ofield(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
inference(cnf_transformation,[],[f718]) ).
tcf(c_1202,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) )
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(cnf_transformation,[],[f662]) ).
tcf(c_1203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(X0) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X3,X0) )
| ~ class_Ring__and__Field_Ofield(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
inference(cnf_transformation,[],[f613]) ).
tcf(c_1204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(X0) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X3,X0) )
| ~ class_Ring__and__Field_Ofield(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
inference(cnf_transformation,[],[f611]) ).
tcf(c_1205,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(X0) = X2 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X2,X0) = X1 )
| ~ class_Ring__and__Field_Ofield(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
inference(cnf_transformation,[],[f566]) ).
tcf(c_1207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(X0) = X4 )
| ( c_HOL_Ozero__class_Ozero(X0) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) )
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(cnf_transformation,[],[f560]) ).
tcf(c_1209,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oone__class_Oone(X1) = X0 )
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ( c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oone__class_Oone(X1) ) ),
inference(cnf_transformation,[],[f450]) ).
tcf(c_1212,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(cnf_transformation,[],[f439]) ).
tcf(c_1213,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) )
| ~ class_Ring__and__Field_Ofield(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
inference(cnf_transformation,[],[f411]) ).
tcf(c_1214,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(X0) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0) )
| ~ class_Ring__and__Field_Ofield(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
inference(cnf_transformation,[],[f392]) ).
tcf(c_1216,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(X0) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0) )
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(cnf_transformation,[],[f388]) ).
tcf(c_1218,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) )
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_1220,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 )
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(cnf_transformation,[],[f268]) ).
tcf(c_1222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(X0) = X3 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X3,X0),X0) )
| ~ class_Ring__and__Field_Ofield(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
inference(cnf_transformation,[],[f246]) ).
tcf(c_1223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(X0) = X3 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) )
| ~ class_Ring__and__Field_Ofield(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
inference(cnf_transformation,[],[f244]) ).
tcf(c_1224,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(X0) = X2 )
| ( c_HOL_Ozero__class_Ozero(X0) = X1 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) )
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(cnf_transformation,[],[f234]) ).
tcf(c_1225,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(X0) = X1 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0) )
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(cnf_transformation,[],[f205]) ).
tcf(c_1226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(X0) = X4 )
| ( c_HOL_Ozero__class_Ozero(X0) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) )
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_1228,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) )
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_1229,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) )
| ~ class_Ring__and__Field_Ofield(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_1230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) )
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_1235,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X1,X0) )
| ~ class_Ring__and__Field_Ofield(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_1236,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( c_HOL_Ozero__class_Ozero(X2) = X1 )
| ~ class_Ring__and__Field_Ofield(X2)
| ( c_HOL_Oinverse__class_Odivide(X0,X1,X2) != c_HOL_Oone__class_Oone(X2) ) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_1256,plain,
! [X0: $i] :
( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(X0))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(cnf_transformation,[],[f1065]) ).
tcf(c_1257,plain,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1021]) ).
tcf(c_1258,plain,
class_Ring__and__Field_Ocomm__semiring__0(tc_nat),
inference(cnf_transformation,[],[f995]) ).
tcf(c_1259,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(cnf_transformation,[],[f574]) ).
tcf(c_1260,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(cnf_transformation,[],[f572]) ).
tcf(c_1261,plain,
! [X0: $i] :
( class_Int_Onumber__ring(tc_Polynomial_Opoly(X0))
| ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
inference(cnf_transformation,[],[f1093]) ).
tcf(c_1262,plain,
! [X0: $i] :
( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(X0))
| ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
inference(cnf_transformation,[],[f1074]) ).
tcf(c_1263,plain,
class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1031]) ).
tcf(c_1264,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X2),X1,X2)
| ~ class_Ring__and__Field_Ocomm__ring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2) ),
inference(cnf_transformation,[],[f263]) ).
tcf(c_1265,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) ),
inference(cnf_transformation,[],[f262]) ).
tcf(c_1266,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ class_Ring__and__Field_Ocomm__ring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2) ),
inference(cnf_transformation,[],[f261]) ).
tcf(c_1267,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
| ~ class_Ring__and__Field_Ocomm__ring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) ),
inference(cnf_transformation,[],[f260]) ).
tcf(c_1268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X3,X2),X2)
| ~ class_Ring__and__Field_Ocomm__ring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_1269,plain,
class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1039]) ).
tcf(c_1270,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) )
| ~ class_OrderedGroup_Ogroup__add(X0) ),
inference(cnf_transformation,[],[f849]) ).
tcf(c_1272,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_OrderedGroup_Ogroup__add(X0) ),
inference(cnf_transformation,[],[f750]) ).
tcf(c_1273,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) = X2 )
| ~ class_OrderedGroup_Ogroup__add(X0) ),
inference(cnf_transformation,[],[f733]) ).
tcf(c_1277,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 )
| ~ class_OrderedGroup_Ogroup__add(X0) ),
inference(cnf_transformation,[],[f666]) ).
tcf(c_1278,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = X1 )
| ~ class_OrderedGroup_Ogroup__add(X0) ),
inference(cnf_transformation,[],[f661]) ).
tcf(c_1279,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oplus__class_Oplus(X1,X2,X0) )
| ~ class_OrderedGroup_Ogroup__add(X0) ),
inference(cnf_transformation,[],[f638]) ).
tcf(c_1280,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,X2) = X0 )
| ~ class_OrderedGroup_Ogroup__add(X2)
| ( c_HOL_Oplus__class_Oplus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2) ) ),
inference(cnf_transformation,[],[f542]) ).
tcf(c_1281,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X0,X2) = X1 )
| ~ class_OrderedGroup_Ogroup__add(X2)
| ( c_HOL_Oplus__class_Oplus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2) ) ),
inference(cnf_transformation,[],[f540]) ).
tcf(c_1282,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ class_OrderedGroup_Ogroup__add(X2)
| ( c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2) ) ),
inference(cnf_transformation,[],[f434]) ).
tcf(c_1284,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_OrderedGroup_Ogroup__add(X0) ),
inference(cnf_transformation,[],[f425]) ).
tcf(c_1285,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_OrderedGroup_Ogroup__add(X0) ),
inference(cnf_transformation,[],[f421]) ).
tcf(c_1287,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X2,X0) = X1 )
| ~ class_OrderedGroup_Ogroup__add(X0) ),
inference(cnf_transformation,[],[f351]) ).
tcf(c_1288,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) )
| ~ class_OrderedGroup_Ogroup__add(X0) ),
inference(cnf_transformation,[],[f256]) ).
tcf(c_1289,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) )
| ~ class_OrderedGroup_Ogroup__add(X0) ),
inference(cnf_transformation,[],[f238]) ).
tcf(c_1291,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 )
| ~ class_OrderedGroup_Ogroup__add(X0) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_1292,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_OrderedGroup_Ogroup__add(X0) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_1293,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(X1) = X0 )
| ~ class_OrderedGroup_Ogroup__add(X1)
| ( c_HOL_Ouminus__class_Ouminus(X0,X1) != c_HOL_Ozero__class_Ozero(X1) ) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_1294,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ class_OrderedGroup_Ogroup__add(X1)
| ( c_HOL_Ouminus__class_Ouminus(X0,X1) != c_HOL_Ouminus__class_Ouminus(X2,X1) ) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_1295,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0),X0) = X2 )
| ~ class_OrderedGroup_Ogroup__add(X0) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_1296,plain,
! [X0: $i] :
( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0))
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(cnf_transformation,[],[f1085]) ).
tcf(c_1297,plain,
class_Divides_Osemiring__div(tc_nat),
inference(cnf_transformation,[],[f1007]) ).
tcf(c_1299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) )
| ~ class_Divides_Osemiring__div(X0) ),
inference(cnf_transformation,[],[f903]) ).
tcf(c_1300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) )
| ~ class_Divides_Osemiring__div(X0) ),
inference(cnf_transformation,[],[f886]) ).
tcf(c_1301,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Divides_Osemiring__div(X0) ),
inference(cnf_transformation,[],[f821]) ).
tcf(c_1302,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Divides_Osemiring__div(X0) ),
inference(cnf_transformation,[],[f819]) ).
tcf(c_1304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X0,X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X3,X2),X1,X2) )
| ~ class_Divides_Osemiring__div(X2)
| ( c_Divides_Odiv__class_Omod(X4,X1,X2) != c_Divides_Odiv__class_Omod(X5,X1,X2) )
| ( c_Divides_Odiv__class_Omod(X0,X1,X2) != c_Divides_Odiv__class_Omod(X3,X1,X2) ) ),
inference(cnf_transformation,[],[f708]) ).
tcf(c_1305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0) )
| ~ class_Divides_Osemiring__div(X0) ),
inference(cnf_transformation,[],[f683]) ).
tcf(c_1306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X3,X0),X2,X0) )
| ~ class_Divides_Osemiring__div(X0) ),
inference(cnf_transformation,[],[f682]) ).
tcf(c_1307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0) )
| ~ class_Divides_Osemiring__div(X0) ),
inference(cnf_transformation,[],[f642]) ).
tcf(c_1308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) )
| ~ class_Divides_Osemiring__div(X0) ),
inference(cnf_transformation,[],[f640]) ).
tcf(c_1309,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Divides_Osemiring__div(X0) ),
inference(cnf_transformation,[],[f579]) ).
tcf(c_1310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X0,X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X3,X2),X1,X2) )
| ~ class_Divides_Osemiring__div(X2)
| ( c_Divides_Odiv__class_Omod(X4,X1,X2) != c_Divides_Odiv__class_Omod(X5,X1,X2) )
| ( c_Divides_Odiv__class_Omod(X0,X1,X2) != c_Divides_Odiv__class_Omod(X3,X1,X2) ) ),
inference(cnf_transformation,[],[f532]) ).
tcf(c_1311,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Divides_Osemiring__div(X0) ),
inference(cnf_transformation,[],[f495]) ).
tcf(c_1312,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 )
| ~ class_Divides_Osemiring__div(X0) ),
inference(cnf_transformation,[],[f493]) ).
tcf(c_1313,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) )
| ~ class_Divides_Osemiring__div(X0) ),
inference(cnf_transformation,[],[f473]) ).
tcf(c_1317,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Divides_Osemiring__div(X0) ),
inference(cnf_transformation,[],[f345]) ).
tcf(c_1318,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0) )
| ~ class_Divides_Osemiring__div(X0) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_1319,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) )
| ~ class_Divides_Osemiring__div(X0) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_1320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) )
| ~ class_Divides_Osemiring__div(X0) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_1321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) )
| ~ class_Divides_Osemiring__div(X0) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_1322,plain,
! [X0: $i] :
( ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_1350,plain,
class_Int_Onumber__ring(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1046]) ).
tcf(c_1352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) )
| ~ class_Int_Onumber__ring(X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(cnf_transformation,[],[f896]) ).
tcf(c_1355,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X4 )
| ( X0 = X3 )
| ~ class_Int_Onumber__ring(X2)
| ~ class_Ring__and__Field_Oidom(X2)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X4,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) ) ),
inference(cnf_transformation,[],[f712]) ).
tcf(c_1356,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 )
| ~ class_Int_Onumber__ring(X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(cnf_transformation,[],[f651]) ).
tcf(c_1357,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ class_Int_Onumber__ring(X2)
| ~ class_Ring__and__Field_Oidom(X2)
| ( c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2) ) ),
inference(cnf_transformation,[],[f436]) ).
tcf(c_1359,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ~ class_Int_Onumber__ring(X2)
| ~ class_Ring__and__Field_Oidom(X2)
| ( c_HOL_Oplus__class_Oplus(X0,X1,X2) != c_HOL_Oplus__class_Oplus(X0,X3,X2) ) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_1360,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) )
| ~ class_Int_Onumber__ring(X0) ),
inference(cnf_transformation,[],[f255]) ).
tcf(c_1361,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) )
| ~ class_Int_Onumber__ring(X0) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_1362,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(X2) = X1 )
| ~ class_Int_Onumber__ring(X2)
| ~ class_Ring__and__Field_Oidom(X2)
| ( c_HOL_Oplus__class_Oplus(X0,X1,X2) != X0 ) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_1363,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Int_Onumber__ring(X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_1364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2 = X4 )
| ( c_HOL_Ozero__class_Ozero(X3) = X1 )
| ~ class_Int_Onumber__ring(X3)
| ~ class_Ring__and__Field_Oidom(X3)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) ) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_1376,plain,
( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(instantiation,[status(thm)],[c_1008]) ).
tcf(c_1663,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(X0) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0) )
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1214,c_1216]) ).
tcf(c_1679,plain,
! [X0: $i] :
( ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
inference(prop_impl_just,[status(thm)],[c_1322]) ).
tcf(c_1729,plain,
! [X0: $i,X1: $i] :
( ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(prop_impl_just,[status(thm)],[c_1115,c_1100]) ).
tcf(c_1755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) )
| ~ class_Divides_Osemiring__div(X0) ),
inference(prop_impl_just,[status(thm)],[c_1321]) ).
tcf(c_1757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) )
| ~ class_Divides_Osemiring__div(X0) ),
inference(prop_impl_just,[status(thm)],[c_1320]) ).
tcf(c_1759,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) )
| ~ class_Divides_Osemiring__div(X0) ),
inference(prop_impl_just,[status(thm)],[c_1319]) ).
tcf(c_1761,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0) )
| ~ class_Divides_Osemiring__div(X0) ),
inference(prop_impl_just,[status(thm)],[c_1318]) ).
tcf(c_1763,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Divides_Osemiring__div(X0) ),
inference(prop_impl_just,[status(thm)],[c_1317]) ).
tcf(c_1767,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) )
| ~ class_Divides_Osemiring__div(X0) ),
inference(prop_impl_just,[status(thm)],[c_1313]) ).
tcf(c_1769,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 )
| ~ class_Divides_Osemiring__div(X0) ),
inference(prop_impl_just,[status(thm)],[c_1312]) ).
tcf(c_1771,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Divides_Osemiring__div(X0) ),
inference(prop_impl_just,[status(thm)],[c_1311]) ).
tcf(c_1773,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Divides_Osemiring__div(X0) ),
inference(prop_impl_just,[status(thm)],[c_1309]) ).
tcf(c_1775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) )
| ~ class_Divides_Osemiring__div(X0) ),
inference(prop_impl_just,[status(thm)],[c_1308]) ).
tcf(c_1777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0) )
| ~ class_Divides_Osemiring__div(X0) ),
inference(prop_impl_just,[status(thm)],[c_1307]) ).
tcf(c_1779,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X3,X0),X2,X0) )
| ~ class_Divides_Osemiring__div(X0) ),
inference(prop_impl_just,[status(thm)],[c_1306]) ).
tcf(c_1781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0) )
| ~ class_Divides_Osemiring__div(X0) ),
inference(prop_impl_just,[status(thm)],[c_1305]) ).
tcf(c_1785,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Divides_Osemiring__div(X0) ),
inference(prop_impl_just,[status(thm)],[c_1302]) ).
tcf(c_1787,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Divides_Osemiring__div(X0) ),
inference(prop_impl_just,[status(thm)],[c_1301]) ).
tcf(c_1789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) )
| ~ class_Divides_Osemiring__div(X0) ),
inference(prop_impl_just,[status(thm)],[c_1300]) ).
tcf(c_1791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) )
| ~ class_Divides_Osemiring__div(X0) ),
inference(prop_impl_just,[status(thm)],[c_1299]) ).
tcf(c_1793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) )
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(prop_impl_just,[status(thm)],[c_1230]) ).
tcf(c_1795,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) )
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(prop_impl_just,[status(thm)],[c_1228]) ).
tcf(c_1797,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) )
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(prop_impl_just,[status(thm)],[c_1218]) ).
tcf(c_1799,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 )
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(prop_impl_just,[status(thm)],[c_1220]) ).
tcf(c_1801,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(prop_impl_just,[status(thm)],[c_1212]) ).
tcf(c_1803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) )
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(prop_impl_just,[status(thm)],[c_1202]) ).
tcf(c_1805,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) )
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(prop_impl_just,[status(thm)],[c_1199]) ).
tcf(c_1807,plain,
! [X0: $i] :
( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0))
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(prop_impl_just,[status(thm)],[c_1296]) ).
tcf(c_2051,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(prop_impl_just,[status(thm)],[c_1086]) ).
tcf(c_4713,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat),tc_nat),
inference(demodulation,[status(thm)],[c_1092,c_997]) ).
tcf(c_4714,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat),
inference(demodulation,[status(thm)],[c_1091,c_997]) ).
tcf(c_5033,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(demodulation,[status(thm)],[c_2051,c_994]) ).
tcf(c_5328,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(demodulation,[status(thm)],[c_1097,c_999]) ).
tcf(c_5904,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(demodulation,[status(thm)],[c_1073,c_994]) ).
tcf(c_5978,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_Polynomial_Odegree(X1,X0),tc_nat) = c_Polynomial_Odegree(c_Polynomial_OpCons(X2,X1,X0),X0) )
| ~ class_HOL_Ozero(X0) ),
inference(demodulation,[status(thm)],[c_933,c_997]) ).
tcf(c_6124,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oone__class_Oone(tc_nat) = X0 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(demodulation,[status(thm)],[c_1066,c_994]) ).
tcf(c_6134,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oone__class_Oone(tc_nat) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(demodulation,[status(thm)],[c_1065,c_994]) ).
tcf(c_6144,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
inference(demodulation,[status(thm)],[c_1059,c_994]) ).
tcf(c_6154,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
inference(demodulation,[status(thm)],[c_1058,c_994]) ).
tcf(c_6190,plain,
! [X0: $i] :
( ( c_HOL_Oone__class_Oone(tc_nat) = X0 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(demodulation,[status(thm)],[c_1085,c_999,c_994]) ).
tcf(c_6244,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oone__class_Oone(tc_nat) = X1 )
| ( c_HOL_Oone__class_Oone(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(demodulation,[status(thm)],[c_1072,c_994]) ).
tcf(c_6260,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
inference(demodulation,[status(thm)],[c_1098,c_994]) ).
tcf(c_6403,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) )
| ~ class_Ring__and__Field_Ofield(X0)
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_1193,c_965]) ).
tcf(c_6404,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
inference(unflattening,[status(thm)],[c_6403]) ).
tcf(c_6406,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(global_subsumption_just,[status(thm)],[c_6404,c_963,c_6404]) ).
tcf(c_6412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) )
| ~ class_Ring__and__Field_Ofield(X0)
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_945,c_965]) ).
tcf(c_6413,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
inference(unflattening,[status(thm)],[c_6412]) ).
tcf(c_6415,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(global_subsumption_just,[status(thm)],[c_6413,c_963,c_6413]) ).
tcf(c_6421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X3,X0),c_HOL_Oinverse__class_Odivide(X2,X4,X0),X0) )
| ~ class_Ring__and__Field_Ofield(X0)
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_1194,c_965]) ).
tcf(c_6422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
inference(unflattening,[status(thm)],[c_6421]) ).
tcf(c_6424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(global_subsumption_just,[status(thm)],[c_6422,c_963,c_6422]) ).
tcf(c_6430,plain,
! [X0: $i] :
( ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) )
| ~ class_Ring__and__Field_Ofield(X0)
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_1200,c_965]) ).
tcf(c_6431,plain,
( ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
inference(unflattening,[status(thm)],[c_6430]) ).
tcf(c_6432,plain,
c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
inference(global_subsumption_just,[status(thm)],[c_6431,c_963,c_6431]) ).
tcf(c_6437,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) )
| ~ class_Ring__and__Field_Ofield(X0)
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_1201,c_965]) ).
tcf(c_6438,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
inference(unflattening,[status(thm)],[c_6437]) ).
tcf(c_6440,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(global_subsumption_just,[status(thm)],[c_6438,c_963,c_6438]) ).
tcf(c_6446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(X0) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X3,X0) )
| ~ class_Ring__and__Field_Ofield(X0)
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_1203,c_965]) ).
tcf(c_6447,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
inference(unflattening,[status(thm)],[c_6446]) ).
tcf(c_6458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(X0) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X3,X0) )
| ~ class_Ring__and__Field_Ofield(X0)
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_1204,c_965]) ).
tcf(c_6459,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
inference(unflattening,[status(thm)],[c_6458]) ).
tcf(c_6468,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(X0) = X2 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X2,X0) = X1 )
| ~ class_Ring__and__Field_Ofield(X0)
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_1205,c_965]) ).
tcf(c_6469,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
inference(unflattening,[status(thm)],[c_6468]) ).
tcf(c_6480,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Ring__and__Field_Ofield(X0)
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_1195,c_965]) ).
tcf(c_6481,plain,
! [X0: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
inference(unflattening,[status(thm)],[c_6480]) ).
tcf(c_6483,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(global_subsumption_just,[status(thm)],[c_6481,c_963,c_6481]) ).
tcf(c_6489,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Ring__and__Field_Ofield(X0)
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_1198,c_965]) ).
tcf(c_6490,plain,
! [X0: $i] :
( ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
inference(unflattening,[status(thm)],[c_6489]) ).
tcf(c_6492,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(global_subsumption_just,[status(thm)],[c_6490,c_963,c_6490]) ).
tcf(c_6498,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) )
| ~ class_Ring__and__Field_Ofield(X0)
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_1213,c_965]) ).
tcf(c_6499,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
inference(unflattening,[status(thm)],[c_6498]) ).
tcf(c_6501,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),
inference(global_subsumption_just,[status(thm)],[c_6499,c_963,c_6499]) ).
tcf(c_6507,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X2,X0) )
| ~ class_Ring__and__Field_Ofield(X0)
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_951,c_965]) ).
tcf(c_6508,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
inference(unflattening,[status(thm)],[c_6507]) ).
tcf(c_6510,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(global_subsumption_just,[status(thm)],[c_6508,c_963,c_6508]) ).
tcf(c_6516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(X0) = X3 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X3,X0),X0) )
| ~ class_Ring__and__Field_Ofield(X0)
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_1222,c_965]) ).
tcf(c_6517,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
inference(unflattening,[status(thm)],[c_6516]) ).
tcf(c_6528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(X0) = X3 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) )
| ~ class_Ring__and__Field_Ofield(X0)
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_1223,c_965]) ).
tcf(c_6529,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
inference(unflattening,[status(thm)],[c_6528]) ).
tcf(c_6540,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) )
| ~ class_Ring__and__Field_Ofield(X0)
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_1229,c_965]) ).
tcf(c_6541,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
inference(unflattening,[status(thm)],[c_6540]) ).
tcf(c_6543,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(global_subsumption_just,[status(thm)],[c_6541,c_963,c_6541]) ).
tcf(c_6549,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X1,X0) )
| ~ class_Ring__and__Field_Ofield(X0)
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_1235,c_965]) ).
tcf(c_6550,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
inference(unflattening,[status(thm)],[c_6549]) ).
tcf(c_6552,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),
inference(global_subsumption_just,[status(thm)],[c_6550,c_963,c_6550]) ).
tcf(c_6558,plain,
! [X0: $i] :
( ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) )
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_1679,c_965]) ).
tcf(c_6559,plain,
c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(unflattening,[status(thm)],[c_6558]) ).
tcf(c_6563,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oone__class_Oone(X1) = X0 )
| ~ class_Ring__and__Field_Ofield(X1)
| ( X1 != tc_Complex_Ocomplex )
| ( c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oone__class_Oone(X1) ) ),
inference(resolution_lifted,[status(thm)],[c_1209,c_965]) ).
tcf(c_6564,plain,
! [X0: $i] :
( ( c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(unflattening,[status(thm)],[c_6563]) ).
tcf(c_6599,plain,
! [X0: $i] :
( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0))
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_1807,c_963]) ).
tcf(c_6600,plain,
class_Divides_Osemiring__div(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(unflattening,[status(thm)],[c_6599]) ).
tcf(c_6606,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) )
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_1805,c_963]) ).
tcf(c_6607,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),
inference(unflattening,[status(thm)],[c_6606]) ).
tcf(c_6612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) )
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_1803,c_963]) ).
tcf(c_6613,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(unflattening,[status(thm)],[c_6612]) ).
tcf(c_6618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(X0) = X4 )
| ( c_HOL_Ozero__class_Ozero(X0) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) )
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_1207,c_963]) ).
tcf(c_6619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(unflattening,[status(thm)],[c_6618]) ).
tcf(c_6630,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_1801,c_963]) ).
tcf(c_6631,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(unflattening,[status(thm)],[c_6630]) ).
tcf(c_6636,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(X0) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0) )
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_1663,c_963]) ).
tcf(c_6637,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(unflattening,[status(thm)],[c_6636]) ).
tcf(c_6647,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) )
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_1797,c_963]) ).
tcf(c_6648,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),
inference(unflattening,[status(thm)],[c_6647]) ).
tcf(c_6653,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 )
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_1799,c_963]) ).
tcf(c_6654,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0,
inference(unflattening,[status(thm)],[c_6653]) ).
tcf(c_6661,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(X0) = X2 )
| ( c_HOL_Ozero__class_Ozero(X0) = X1 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) )
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_1224,c_963]) ).
tcf(c_6662,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(unflattening,[status(thm)],[c_6661]) ).
tcf(c_6673,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(X0) = X1 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0) )
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_1225,c_963]) ).
tcf(c_6674,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(unflattening,[status(thm)],[c_6673]) ).
tcf(c_6682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(X0) = X4 )
| ( c_HOL_Ozero__class_Ozero(X0) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) )
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_1226,c_963]) ).
tcf(c_6683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(unflattening,[status(thm)],[c_6682]) ).
tcf(c_6694,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) )
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_1795,c_963]) ).
tcf(c_6695,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(unflattening,[status(thm)],[c_6694]) ).
tcf(c_6700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) )
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_1793,c_963]) ).
tcf(c_6701,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(unflattening,[status(thm)],[c_6700]) ).
tcf(c_6715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(X2) = X4 )
| ( c_HOL_Ozero__class_Ozero(X2) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X0,X4,X2) = c_HOL_Oinverse__class_Odivide(X3,X1,X2) )
| ( X2 != tc_Complex_Ocomplex )
| ( c_HOL_Otimes__class_Otimes(X0,X1,X2) != c_HOL_Otimes__class_Otimes(X3,X4,X2) ) ),
inference(resolution_lifted,[status(thm)],[c_1196,c_963]) ).
tcf(c_6716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex) ) ),
inference(unflattening,[status(thm)],[c_6715]) ).
tcf(c_6730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(X2) = X4 )
| ( c_HOL_Ozero__class_Ozero(X2) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,X4,X2) = c_HOL_Otimes__class_Otimes(X3,X1,X2) )
| ( X2 != tc_Complex_Ocomplex )
| ( c_HOL_Oinverse__class_Odivide(X0,X1,X2) != c_HOL_Oinverse__class_Odivide(X3,X4,X2) ) ),
inference(resolution_lifted,[status(thm)],[c_1197,c_963]) ).
tcf(c_6731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex) ) ),
inference(unflattening,[status(thm)],[c_6730]) ).
tcf(c_6745,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( c_HOL_Ozero__class_Ozero(X2) = X1 )
| ( X2 != tc_Complex_Ocomplex )
| ( c_HOL_Oinverse__class_Odivide(X0,X1,X2) != c_HOL_Oone__class_Oone(X2) ) ),
inference(resolution_lifted,[status(thm)],[c_1236,c_963]) ).
tcf(c_6746,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(unflattening,[status(thm)],[c_6745]) ).
tcf(c_7450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) )
| ( X0 != tc_nat ) ),
inference(resolution_lifted,[status(thm)],[c_1791,c_1297]) ).
tcf(c_7451,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_nat),tc_nat),X2,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),
inference(unflattening,[status(thm)],[c_7450]) ).
tcf(c_7456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) )
| ( X0 != tc_nat ) ),
inference(resolution_lifted,[status(thm)],[c_1789,c_1297]) ).
tcf(c_7457,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X2,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X1,tc_nat),
inference(unflattening,[status(thm)],[c_7456]) ).
tcf(c_7462,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ( X0 != tc_nat ) ),
inference(resolution_lifted,[status(thm)],[c_1787,c_1297]) ).
tcf(c_7463,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(unflattening,[status(thm)],[c_7462]) ).
tcf(c_7468,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ( X0 != tc_nat ) ),
inference(resolution_lifted,[status(thm)],[c_1785,c_1297]) ).
tcf(c_7469,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(unflattening,[status(thm)],[c_7468]) ).
tcf(c_7479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0) )
| ( X0 != tc_nat ) ),
inference(resolution_lifted,[status(thm)],[c_1781,c_1297]) ).
tcf(c_7480,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_nat),tc_nat),
inference(unflattening,[status(thm)],[c_7479]) ).
tcf(c_7485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X3,X0),X2,X0) )
| ( X0 != tc_nat ) ),
inference(resolution_lifted,[status(thm)],[c_1779,c_1297]) ).
tcf(c_7486,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X2,tc_nat),X1,tc_nat),
inference(unflattening,[status(thm)],[c_7485]) ).
tcf(c_7491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0) )
| ( X0 != tc_nat ) ),
inference(resolution_lifted,[status(thm)],[c_1777,c_1297]) ).
tcf(c_7492,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),X2,tc_nat) = c_Divides_Odiv__class_Omod(X0,X2,tc_nat),
inference(unflattening,[status(thm)],[c_7491]) ).
tcf(c_7497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) )
| ( X0 != tc_nat ) ),
inference(resolution_lifted,[status(thm)],[c_1775,c_1297]) ).
tcf(c_7498,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat),
inference(unflattening,[status(thm)],[c_7497]) ).
tcf(c_7502,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Ozero__class_Ozero(X0) )
| ( X0 != tc_nat ) ),
inference(resolution_lifted,[status(thm)],[c_1773,c_1297]) ).
tcf(c_7503,plain,
! [X0: $i] : c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(unflattening,[status(thm)],[c_7502]) ).
tcf(c_7508,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ( X0 != tc_nat ) ),
inference(resolution_lifted,[status(thm)],[c_1771,c_1297]) ).
tcf(c_7509,plain,
! [X0: $i] : c_Divides_Odiv__class_Omod(X0,X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(unflattening,[status(thm)],[c_7508]) ).
tcf(c_7514,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 )
| ( X0 != tc_nat ) ),
inference(resolution_lifted,[status(thm)],[c_1769,c_1297]) ).
tcf(c_7515,plain,
! [X0: $i] : c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X0,
inference(unflattening,[status(thm)],[c_7514]) ).
tcf(c_7520,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) )
| ( X0 != tc_nat ) ),
inference(resolution_lifted,[status(thm)],[c_1767,c_1297]) ).
tcf(c_7521,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat),
inference(unflattening,[status(thm)],[c_7520]) ).
tcf(c_7532,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ( X0 != tc_nat ) ),
inference(resolution_lifted,[status(thm)],[c_1763,c_1297]) ).
tcf(c_7533,plain,
! [X0: $i] : c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(unflattening,[status(thm)],[c_7532]) ).
tcf(c_7538,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0) )
| ( X0 != tc_nat ) ),
inference(resolution_lifted,[status(thm)],[c_1761,c_1297]) ).
tcf(c_7539,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X0,tc_nat) = c_Divides_Odiv__class_Omod(X1,X0,tc_nat),
inference(unflattening,[status(thm)],[c_7538]) ).
tcf(c_7544,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) )
| ( X0 != tc_nat ) ),
inference(resolution_lifted,[status(thm)],[c_1759,c_1297]) ).
tcf(c_7545,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat),
inference(unflattening,[status(thm)],[c_7544]) ).
tcf(c_7549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) )
| ( X0 != tc_nat ) ),
inference(resolution_lifted,[status(thm)],[c_1757,c_1297]) ).
tcf(c_7550,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X2,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),
inference(unflattening,[status(thm)],[c_7549]) ).
tcf(c_7555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) )
| ( X0 != tc_nat ) ),
inference(resolution_lifted,[status(thm)],[c_1755,c_1297]) ).
tcf(c_7556,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_nat),tc_nat),X2,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),
inference(unflattening,[status(thm)],[c_7555]) ).
tcf(c_7561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) )
| ( tc_Polynomial_Opoly(tc_Complex_Ocomplex) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_1791,c_6600]) ).
tcf(c_7562,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(unflattening,[status(thm)],[c_7561]) ).
tcf(c_7567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) )
| ( tc_Polynomial_Opoly(tc_Complex_Ocomplex) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_1789,c_6600]) ).
tcf(c_7568,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(unflattening,[status(thm)],[c_7567]) ).
tcf(c_7573,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ( tc_Polynomial_Opoly(tc_Complex_Ocomplex) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_1787,c_6600]) ).
tcf(c_7574,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(unflattening,[status(thm)],[c_7573]) ).
tcf(c_7579,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ( tc_Polynomial_Opoly(tc_Complex_Ocomplex) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_1785,c_6600]) ).
tcf(c_7580,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(unflattening,[status(thm)],[c_7579]) ).
tcf(c_7590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0) )
| ( tc_Polynomial_Opoly(tc_Complex_Ocomplex) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_1781,c_6600]) ).
tcf(c_7591,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(unflattening,[status(thm)],[c_7590]) ).
tcf(c_7596,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X3,X0),X2,X0) )
| ( tc_Polynomial_Opoly(tc_Complex_Ocomplex) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_1779,c_6600]) ).
tcf(c_7597,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(unflattening,[status(thm)],[c_7596]) ).
tcf(c_7602,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0) )
| ( tc_Polynomial_Opoly(tc_Complex_Ocomplex) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_1777,c_6600]) ).
tcf(c_7603,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(unflattening,[status(thm)],[c_7602]) ).
tcf(c_7608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) )
| ( tc_Polynomial_Opoly(tc_Complex_Ocomplex) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_1775,c_6600]) ).
tcf(c_7609,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(unflattening,[status(thm)],[c_7608]) ).
tcf(c_7613,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Ozero__class_Ozero(X0) )
| ( tc_Polynomial_Opoly(tc_Complex_Ocomplex) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_1773,c_6600]) ).
tcf(c_7614,plain,
! [X0: $i] : c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(unflattening,[status(thm)],[c_7613]) ).
tcf(c_7619,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ( tc_Polynomial_Opoly(tc_Complex_Ocomplex) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_1771,c_6600]) ).
tcf(c_7620,plain,
! [X0: $i] : c_Divides_Odiv__class_Omod(X0,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(unflattening,[status(thm)],[c_7619]) ).
tcf(c_7625,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 )
| ( tc_Polynomial_Opoly(tc_Complex_Ocomplex) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_1769,c_6600]) ).
tcf(c_7626,plain,
! [X0: $i] : c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0,
inference(unflattening,[status(thm)],[c_7625]) ).
tcf(c_7631,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) )
| ( tc_Polynomial_Opoly(tc_Complex_Ocomplex) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_1767,c_6600]) ).
tcf(c_7632,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(unflattening,[status(thm)],[c_7631]) ).
tcf(c_7643,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ( tc_Polynomial_Opoly(tc_Complex_Ocomplex) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_1763,c_6600]) ).
tcf(c_7644,plain,
! [X0: $i] : c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(unflattening,[status(thm)],[c_7643]) ).
tcf(c_7649,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0) )
| ( tc_Polynomial_Opoly(tc_Complex_Ocomplex) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_1761,c_6600]) ).
tcf(c_7650,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(unflattening,[status(thm)],[c_7649]) ).
tcf(c_7655,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) )
| ( tc_Polynomial_Opoly(tc_Complex_Ocomplex) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_1759,c_6600]) ).
tcf(c_7656,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(unflattening,[status(thm)],[c_7655]) ).
tcf(c_7660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) )
| ( tc_Polynomial_Opoly(tc_Complex_Ocomplex) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_1757,c_6600]) ).
tcf(c_7661,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(unflattening,[status(thm)],[c_7660]) ).
tcf(c_7666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) )
| ( tc_Polynomial_Opoly(tc_Complex_Ocomplex) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_1755,c_6600]) ).
tcf(c_7667,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(unflattening,[status(thm)],[c_7666]) ).
tcf(c_7672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
| ( X0 != tc_nat ) ),
inference(resolution_lifted,[status(thm)],[c_1187,c_1297]) ).
tcf(c_7673,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_nat),tc_nat) ),
inference(unflattening,[status(thm)],[c_7672]) ).
tcf(c_7683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
| ( tc_Polynomial_Opoly(tc_Complex_Ocomplex) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_1187,c_6600]) ).
tcf(c_7684,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(unflattening,[status(thm)],[c_7683]) ).
tcf(c_7694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
| ( X0 != tc_nat ) ),
inference(resolution_lifted,[status(thm)],[c_1186,c_1297]) ).
tcf(c_7695,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(unflattening,[status(thm)],[c_7694]) ).
tcf(c_7706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X3,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X3,X1,X0) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
| ( X0 != tc_nat ) ),
inference(resolution_lifted,[status(thm)],[c_1175,c_1297]) ).
tcf(c_7707,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,X1,tc_nat),X0,tc_nat) = c_Divides_Odiv__class_Omod(X2,X0,tc_nat) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(unflattening,[status(thm)],[c_7706]) ).
tcf(c_7714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X0,X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X3,X2),X1,X2) )
| ( X2 != tc_nat )
| ( c_Divides_Odiv__class_Omod(X4,X1,X2) != c_Divides_Odiv__class_Omod(X5,X1,X2) )
| ( c_Divides_Odiv__class_Omod(X0,X1,X2) != c_Divides_Odiv__class_Omod(X3,X1,X2) ) ),
inference(resolution_lifted,[status(thm)],[c_1304,c_1297]) ).
tcf(c_7715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,X0,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X1,tc_nat) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_nat) != c_Divides_Odiv__class_Omod(X4,X1,tc_nat) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_nat) != c_Divides_Odiv__class_Omod(X2,X1,tc_nat) ) ),
inference(unflattening,[status(thm)],[c_7714]) ).
tcf(c_7726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X0,X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X3,X2),X1,X2) )
| ( X2 != tc_nat )
| ( c_Divides_Odiv__class_Omod(X4,X1,X2) != c_Divides_Odiv__class_Omod(X5,X1,X2) )
| ( c_Divides_Odiv__class_Omod(X0,X1,X2) != c_Divides_Odiv__class_Omod(X3,X1,X2) ) ),
inference(resolution_lifted,[status(thm)],[c_1310,c_1297]) ).
tcf(c_7727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,X0,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X2,tc_nat),X1,tc_nat) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_nat) != c_Divides_Odiv__class_Omod(X4,X1,tc_nat) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_nat) != c_Divides_Odiv__class_Omod(X2,X1,tc_nat) ) ),
inference(unflattening,[status(thm)],[c_7726]) ).
tcf(c_7738,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
| ( X2 != tc_nat )
| ( c_Divides_Odiv__class_Omod(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2) ) ),
inference(resolution_lifted,[status(thm)],[c_1183,c_1297]) ).
tcf(c_7739,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(unflattening,[status(thm)],[c_7738]) ).
tcf(c_7747,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(X2,X1,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
| ( X0 != tc_nat ) ),
inference(resolution_lifted,[status(thm)],[c_1184,c_1297]) ).
tcf(c_7748,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(X1,X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(unflattening,[status(thm)],[c_7747]) ).
tcf(c_7755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
| ( tc_Polynomial_Opoly(tc_Complex_Ocomplex) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_1186,c_6600]) ).
tcf(c_7756,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(unflattening,[status(thm)],[c_7755]) ).
tcf(c_7767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X3,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X3,X1,X0) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
| ( tc_Polynomial_Opoly(tc_Complex_Ocomplex) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_1175,c_6600]) ).
tcf(c_7768,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X2,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(unflattening,[status(thm)],[c_7767]) ).
tcf(c_7775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X0,X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X3,X2),X1,X2) )
| ( tc_Polynomial_Opoly(tc_Complex_Ocomplex) != X2 )
| ( c_Divides_Odiv__class_Omod(X4,X1,X2) != c_Divides_Odiv__class_Omod(X5,X1,X2) )
| ( c_Divides_Odiv__class_Omod(X0,X1,X2) != c_Divides_Odiv__class_Omod(X3,X1,X2) ) ),
inference(resolution_lifted,[status(thm)],[c_1304,c_6600]) ).
tcf(c_7776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X4,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(unflattening,[status(thm)],[c_7775]) ).
tcf(c_7787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X0,X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X3,X2),X1,X2) )
| ( tc_Polynomial_Opoly(tc_Complex_Ocomplex) != X2 )
| ( c_Divides_Odiv__class_Omod(X4,X1,X2) != c_Divides_Odiv__class_Omod(X5,X1,X2) )
| ( c_Divides_Odiv__class_Omod(X0,X1,X2) != c_Divides_Odiv__class_Omod(X3,X1,X2) ) ),
inference(resolution_lifted,[status(thm)],[c_1310,c_6600]) ).
tcf(c_7788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X4,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(unflattening,[status(thm)],[c_7787]) ).
tcf(c_7799,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
| ( tc_Polynomial_Opoly(tc_Complex_Ocomplex) != X2 )
| ( c_Divides_Odiv__class_Omod(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2) ) ),
inference(resolution_lifted,[status(thm)],[c_1183,c_6600]) ).
tcf(c_7800,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(unflattening,[status(thm)],[c_7799]) ).
tcf(c_7808,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(X2,X1,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
| ( tc_Polynomial_Opoly(tc_Complex_Ocomplex) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_1184,c_6600]) ).
tcf(c_7809,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(unflattening,[status(thm)],[c_7808]) ).
tcf(c_8406,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex) ) ),
inference(prop_impl_just,[status(thm)],[c_963,c_6447]) ).
tcf(c_8414,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex) ) ),
inference(prop_impl_just,[status(thm)],[c_963,c_6459]) ).
tcf(c_10416,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_6695,c_6543]) ).
tcf(c_10417,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_6501,c_10416]) ).
tcf(c_10640,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_6440,c_6607]) ).
tcf(c_10642,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_6483,c_6406]) ).
tcf(c_10643,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_10642,c_6631]) ).
tcf(c_10734,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_6510,c_6648]) ).
tcf(c_10735,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_10734,c_6648]) ).
tcf(c_11060,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) ) ),
inference(demodulation,[status(thm)],[c_8414,c_6406]) ).
tcf(c_11067,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex) ) ),
inference(demodulation,[status(thm)],[c_8406,c_6406]) ).
tcf(c_11126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_6424,c_6406]) ).
tcf(c_11127,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex) ) ),
inference(demodulation,[status(thm)],[c_11067,c_11126]) ).
tcf(c_11128,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) ) ),
inference(demodulation,[status(thm)],[c_11060,c_11126]) ).
tcf(c_11309,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(demodulation,[status(thm)],[c_6662,c_6406,c_6607]) ).
tcf(c_12054,plain,
! [X0: $i,X1: $i] :
( ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(prop_impl_just,[status(thm)],[c_1729]) ).
tcf(c_12306,plain,
! [X0: $i] :
( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 ) ),
inference(prop_impl_just,[status(thm)],[c_5033]) ).
tcf(c_12307,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(renaming,[status(thm)],[c_12306]) ).
tcf(c_12518,plain,
! [X0: $i] :
( ( c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(prop_impl_just,[status(thm)],[c_6637]) ).
tcf(c_12519,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(renaming,[status(thm)],[c_12518]) ).
tcf(c_12520,plain,
! [X0: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(prop_impl_just,[status(thm)],[c_6674]) ).
tcf(c_12521,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(renaming,[status(thm)],[c_12520]) ).
tcf(c_12522,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex) )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(prop_impl_just,[status(thm)],[c_11127]) ).
tcf(c_12523,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex) ) ),
inference(renaming,[status(thm)],[c_12522]) ).
tcf(c_12524,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 ) ),
inference(prop_impl_just,[status(thm)],[c_963,c_6469]) ).
tcf(c_12525,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = X0 ) ),
inference(renaming,[status(thm)],[c_12524]) ).
tcf(c_12528,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(prop_impl_just,[status(thm)],[c_963,c_6517]) ).
tcf(c_12532,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 ) ),
inference(prop_impl_just,[status(thm)],[c_963,c_6529]) ).
tcf(c_12533,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(renaming,[status(thm)],[c_12532]) ).
tcf(c_12534,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 ) ),
inference(prop_impl_just,[status(thm)],[c_11128]) ).
tcf(c_12535,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) ) ),
inference(renaming,[status(thm)],[c_12534]) ).
tcf(c_12538,plain,
! [X0: $i] :
( ( c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(prop_impl_just,[status(thm)],[c_963,c_6564]) ).
tcf(c_12546,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,X1,tc_nat),X0,tc_nat) = c_Divides_Odiv__class_Omod(X2,X0,tc_nat) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(prop_impl_just,[status(thm)],[c_7707]) ).
tcf(c_12548,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(X1,X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(prop_impl_just,[status(thm)],[c_7748]) ).
tcf(c_12550,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X2,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(prop_impl_just,[status(thm)],[c_7768]) ).
tcf(c_12552,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(prop_impl_just,[status(thm)],[c_7809]) ).
tcf(c_12556,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(prop_impl_just,[status(thm)],[c_7739]) ).
tcf(c_12564,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(prop_impl_just,[status(thm)],[c_7800]) ).
tcf(c_21174,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_994,c_1108]) ).
tcf(c_21183,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6406,c_6654]) ).
tcf(c_21186,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6406,c_6492]) ).
tcf(c_21190,plain,
c_HOL_Ozero__class_Ozero(tc_nat) != c_HOL_Oone__class_Oone(tc_nat),
inference(superposition,[status(thm)],[c_994,c_1110]) ).
tcf(c_21191,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10643,c_6406]) ).
tcf(c_21228,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) != X0,
inference(superposition,[status(thm)],[c_997,c_1110]) ).
tcf(c_21229,plain,
! [X0: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_997,c_1084]) ).
tcf(c_21230,plain,
! [X0: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_997,c_1108]) ).
tcf(c_21245,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_997,c_1090]) ).
tcf(c_21249,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6406,c_6543]) ).
tcf(c_21250,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_6543]) ).
tcf(c_21251,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6492,c_6543]) ).
tcf(c_21252,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6631,c_6543]) ).
tcf(c_21253,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6654,c_6543]) ).
tcf(c_21264,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_903,c_1168]) ).
tcf(c_21265,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_915,c_1168]) ).
tcf(c_21267,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_1129,c_1168]) ).
tcf(c_21268,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_1128,c_1168]) ).
tcf(c_21269,plain,
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_10643,c_1168]) ).
tcf(c_21270,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_21268,c_1131]) ).
tcf(c_21271,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_21267,c_1131]) ).
tcf(c_21272,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_21264,c_1131]) ).
tcf(c_21273,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_21269,c_964]) ).
tcf(c_21274,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_21265,c_1131]) ).
tcf(c_21284,plain,
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_903,c_1169]) ).
tcf(c_21285,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_915,c_1169]) ).
tcf(c_21289,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_10643,c_1169]) ).
tcf(c_21290,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_21289,c_964]) ).
tcf(c_21291,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_21284,c_1131]) ).
tcf(c_21292,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_21285,c_1131]) ).
tcf(c_21299,plain,
! [X0: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1084,c_12054]) ).
tcf(c_21300,plain,
! [X0: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_1108,c_12054]) ).
tcf(c_21301,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21174,c_12054]) ).
tcf(c_21302,plain,
! [X0: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21229,c_12054]) ).
tcf(c_21303,plain,
! [X0: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_21230,c_12054]) ).
tcf(c_21308,plain,
! [X0: $i] : c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X0,
inference(superposition,[status(thm)],[c_1131,c_946]) ).
tcf(c_21309,plain,
! [X0: $i] : c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex) = X0,
inference(superposition,[status(thm)],[c_964,c_946]) ).
tcf(c_21310,plain,
! [X0: $i,X1: $i] :
( ( c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),tc_Polynomial_Opoly(X0)) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_946]) ).
tcf(c_21328,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21309,c_6415]) ).
tcf(c_21329,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21309,c_6415]) ).
tcf(c_21330,plain,
! [X0: $i,X1: $i] : c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_21329,c_21309]) ).
tcf(c_21334,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_6543]) ).
tcf(c_21338,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6406,c_6552]) ).
tcf(c_21339,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_6552]) ).
tcf(c_21340,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6492,c_6552]) ).
tcf(c_21341,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_6552]) ).
tcf(c_21342,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6631,c_6552]) ).
tcf(c_21346,plain,
! [X0: $i] : c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0,
inference(light_normalisation,[status(thm)],[c_21341,c_6654]) ).
tcf(c_21347,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_21339,c_6415]) ).
tcf(c_21355,plain,
! [X0: $i] : c_HOL_Ominus__class_Ominus(X0,X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1011,c_1028]) ).
tcf(c_21356,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ominus__class_Ominus(X1,X1,tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(superposition,[status(thm)],[c_1010,c_1028]) ).
tcf(c_21364,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0,
inference(superposition,[status(thm)],[c_964,c_1117]) ).
tcf(c_21365,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_1117]) ).
tcf(c_21375,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = X0,
inference(superposition,[status(thm)],[c_964,c_1118]) ).
tcf(c_21376,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_1118]) ).
tcf(c_21386,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0,
inference(superposition,[status(thm)],[c_964,c_1149]) ).
tcf(c_21387,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_1149]) ).
tcf(c_21392,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21364,c_1168]) ).
tcf(c_21393,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21364,c_1169]) ).
tcf(c_21395,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_21392,c_964]) ).
tcf(c_21396,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_21393,c_964]) ).
tcf(c_21401,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21375,c_6406]) ).
tcf(c_21402,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_21401,c_6648]) ).
tcf(c_21412,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = X0,
inference(superposition,[status(thm)],[c_964,c_1150]) ).
tcf(c_21413,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_1150]) ).
tcf(c_21422,plain,
! [X0: $i] : c_Polynomial_Osmult(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) = X0,
inference(superposition,[status(thm)],[c_1131,c_1167]) ).
tcf(c_21423,plain,
! [X0: $i] : c_Polynomial_Osmult(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = X0,
inference(superposition,[status(thm)],[c_964,c_1167]) ).
tcf(c_21424,plain,
! [X0: $i,X1: $i] :
( ( c_Polynomial_Osmult(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_1167]) ).
tcf(c_21432,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6432,c_6607]) ).
tcf(c_21433,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6552,c_6607]) ).
tcf(c_21434,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6559,c_6607]) ).
tcf(c_21435,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21346,c_6607]) ).
tcf(c_21436,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6607,c_1168]) ).
tcf(c_21437,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6607,c_1169]) ).
tcf(c_21438,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6607,c_6406]) ).
tcf(c_21441,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_21436,c_964]) ).
tcf(c_21442,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_21437,c_964]) ).
tcf(c_21443,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_21434,c_6492]) ).
tcf(c_21455,plain,
c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1269,c_1272]) ).
tcf(c_21461,plain,
! [X0: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0,
inference(superposition,[status(thm)],[c_1269,c_1277]) ).
tcf(c_21462,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = X1 )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(superposition,[status(thm)],[c_1009,c_1277]) ).
tcf(c_21469,plain,
! [X0: $i] : c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0,
inference(superposition,[status(thm)],[c_1269,c_1291]) ).
tcf(c_21470,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = X1 )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(superposition,[status(thm)],[c_1009,c_1291]) ).
tcf(c_21479,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6406,c_21441]) ).
tcf(c_21480,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_21441]) ).
tcf(c_21482,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_21441]) ).
tcf(c_21487,plain,
! [X0: $i,X1: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_21461]) ).
tcf(c_21489,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6432,c_21442]) ).
tcf(c_21490,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6552,c_21442]) ).
tcf(c_21491,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6559,c_21442]) ).
tcf(c_21492,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21346,c_21442]) ).
tcf(c_21493,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6406,c_21442]) ).
tcf(c_21494,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_21442]) ).
tcf(c_21495,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6492,c_21442]) ).
tcf(c_21496,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_21442]) ).
tcf(c_21497,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6631,c_21442]) ).
tcf(c_21498,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6654,c_21442]) ).
tcf(c_21503,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_21494,c_10735]) ).
tcf(c_21510,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21443,c_6406]) ).
tcf(c_21512,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_21492,c_21435]) ).
tcf(c_21522,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_4713,c_12054]) ).
tcf(c_21528,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_4714,c_12054]) ).
tcf(c_21531,plain,
c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_903,c_7463]) ).
tcf(c_21537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6406,c_6613]) ).
tcf(c_21538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_6613]) ).
tcf(c_21539,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6492,c_6613]) ).
tcf(c_21540,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_6613]) ).
tcf(c_21541,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6631,c_6613]) ).
tcf(c_21542,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6654,c_6613]) ).
tcf(c_21543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6406,c_6613]) ).
tcf(c_21544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_6613]) ).
tcf(c_21545,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6492,c_6613]) ).
tcf(c_21546,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_6613]) ).
tcf(c_21547,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6631,c_6613]) ).
tcf(c_21548,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6654,c_6613]) ).
tcf(c_21549,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_21548,c_6654]) ).
tcf(c_21550,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_21547,c_21386]) ).
tcf(c_21551,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_21541,c_21412]) ).
tcf(c_21552,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_21545,c_6492]) ).
tcf(c_21566,plain,
c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_1031,c_929]) ).
tcf(c_21567,plain,
c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_1030,c_929]) ).
tcf(c_21568,plain,
! [X0: $i] :
( ( c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))),tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_HOL_Ozero(X0) ),
inference(superposition,[status(thm)],[c_1029,c_929]) ).
tcf(c_21576,plain,
! [X0: $i] : c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat),
inference(superposition,[status(thm)],[c_1131,c_954]) ).
tcf(c_21577,plain,
! [X0: $i] : c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_964,c_954]) ).
tcf(c_21578,plain,
! [X0: $i,X1: $i] :
( ( c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_Polynomial_Opoly(X0)) = c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_954]) ).
tcf(c_21588,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1108,c_987]) ).
tcf(c_21589,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_4713,c_987]) ).
tcf(c_21590,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_4714,c_987]) ).
tcf(c_21592,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_997,c_987]) ).
tcf(c_21595,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_994,c_987]) ).
tcf(c_21600,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_21590,c_999]) ).
tcf(c_21610,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_990,c_12054]) ).
tcf(c_21612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_990,c_987]) ).
tcf(c_21613,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X2,tc_nat),
inference(superposition,[status(thm)],[c_990,c_975]) ).
tcf(c_21614,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_990,c_974]) ).
tcf(c_21615,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X1,tc_nat),
inference(light_normalisation,[status(thm)],[c_21614,c_999]) ).
tcf(c_21621,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21577,c_6415]) ).
tcf(c_21622,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21577,c_6415]) ).
tcf(c_21623,plain,
! [X0: $i,X1: $i] : c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_21622,c_21577]) ).
tcf(c_21631,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_990,c_21595]) ).
tcf(c_21634,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_4713,c_21595]) ).
tcf(c_21655,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(demodulation,[status(thm)],[c_21588,c_999]) ).
tcf(c_21656,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_997,c_21655]) ).
tcf(c_21659,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_997,c_21655]) ).
tcf(c_21662,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21655,c_21595]) ).
tcf(c_21663,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_21655,c_12054]) ).
tcf(c_21664,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21655,c_987]) ).
tcf(c_21669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),X3,tc_nat),
inference(superposition,[status(thm)],[c_990,c_21613]) ).
tcf(c_21675,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_996,c_21613]) ).
tcf(c_21678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),tc_nat),X2,tc_nat),
inference(superposition,[status(thm)],[c_990,c_21615]) ).
tcf(c_21679,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_997,c_21615]) ).
tcf(c_21686,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X0,tc_nat),
inference(light_normalisation,[status(thm)],[c_21679,c_999]) ).
tcf(c_21688,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),
inference(demodulation,[status(thm)],[c_21656,c_999]) ).
tcf(c_21689,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_997,c_21688]) ).
tcf(c_21692,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_997,c_21688]) ).
tcf(c_21695,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21688,c_21595]) ).
tcf(c_21696,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_21688,c_12054]) ).
tcf(c_21697,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21688,c_987]) ).
tcf(c_21702,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_997,c_21659]) ).
tcf(c_21709,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_21659,c_12054]) ).
tcf(c_21710,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21659,c_987]) ).
tcf(c_21718,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10643,c_6619]) ).
tcf(c_21719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6607,c_6619]) ).
tcf(c_21720,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21364,c_6619]) ).
tcf(c_21721,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21375,c_6619]) ).
tcf(c_21723,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10643,c_6619]) ).
tcf(c_21724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6607,c_6619]) ).
tcf(c_21725,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21364,c_6619]) ).
tcf(c_21726,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21375,c_6619]) ).
tcf(c_21729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6607,c_6619]) ).
tcf(c_21730,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21364,c_6619]) ).
tcf(c_21731,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21375,c_6619]) ).
tcf(c_21733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6619,c_6613]) ).
tcf(c_21734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6619,c_21441]) ).
tcf(c_21735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6619,c_6552]) ).
tcf(c_21736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6619,c_6543]) ).
tcf(c_21737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6619,c_6613]) ).
tcf(c_21738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6619,c_21442]) ).
tcf(c_21757,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_21731,c_6654]) ).
tcf(c_21761,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_21730,c_21364]) ).
tcf(c_21765,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_21725,c_6654]) ).
tcf(c_21778,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_21729,c_6607]) ).
tcf(c_21819,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_991,c_21595]) ).
tcf(c_21820,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_991,c_12054]) ).
tcf(c_21822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_991,c_987]) ).
tcf(c_21825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),X2,tc_nat),
inference(superposition,[status(thm)],[c_991,c_21613]) ).
tcf(c_21826,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_991,c_21615]) ).
tcf(c_21839,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_993,c_21595]) ).
tcf(c_21849,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_993,c_21595]) ).
tcf(c_21852,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,X2,tc_nat)
| c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X2 ) ),
inference(superposition,[status(thm)],[c_993,c_987]) ).
tcf(c_21854,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_993,c_975]) ).
tcf(c_21855,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_993,c_974]) ).
tcf(c_21856,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| ( c_HOL_Oone__class_Oone(tc_nat) = X0 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_993,c_12307]) ).
tcf(c_21857,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = X2 ) ),
inference(superposition,[status(thm)],[c_993,c_21613]) ).
tcf(c_21858,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_993,c_21615]) ).
tcf(c_21888,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,X0,tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_997,c_1099]) ).
tcf(c_21890,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_994,c_1099]) ).
tcf(c_21892,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1099,c_12054]) ).
tcf(c_21894,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1099,c_987]) ).
tcf(c_21896,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1099,c_974]) ).
tcf(c_21897,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1099,c_21613]) ).
tcf(c_21898,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1099,c_21615]) ).
tcf(c_21916,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_1146]) ).
tcf(c_21925,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_21890,c_12054]) ).
tcf(c_21927,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_21890,c_987]) ).
tcf(c_21952,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_21692,c_12054]) ).
tcf(c_21953,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21692,c_987]) ).
tcf(c_21963,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_1147]) ).
tcf(c_21970,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_6406]) ).
tcf(c_21971,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_6613]) ).
tcf(c_21972,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_21441]) ).
tcf(c_21973,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_6552]) ).
tcf(c_21974,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_6543]) ).
tcf(c_21975,plain,
c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_6648]) ).
tcf(c_21976,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_6613]) ).
tcf(c_21977,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_21442]) ).
tcf(c_21979,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0,
inference(light_normalisation,[status(thm)],[c_21974,c_21461]) ).
tcf(c_21980,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_21970,c_21253]) ).
tcf(c_21981,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_21976,c_21253]) ).
tcf(c_21989,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_21972]) ).
tcf(c_21991,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21461,c_21972]) ).
tcf(c_21994,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_21991]) ).
tcf(c_22004,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21355,c_6683]) ).
tcf(c_22005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10643,c_6683]) ).
tcf(c_22006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6607,c_6683]) ).
tcf(c_22007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21364,c_6683]) ).
tcf(c_22008,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21375,c_6683]) ).
tcf(c_22010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10643,c_6683]) ).
tcf(c_22011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6607,c_6683]) ).
tcf(c_22012,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21364,c_6683]) ).
tcf(c_22013,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21375,c_6683]) ).
tcf(c_22016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6607,c_6683]) ).
tcf(c_22017,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21364,c_6683]) ).
tcf(c_22018,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21375,c_6683]) ).
tcf(c_22020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6683,c_6613]) ).
tcf(c_22021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6683,c_21441]) ).
tcf(c_22022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6683,c_6552]) ).
tcf(c_22023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6683,c_6543]) ).
tcf(c_22024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6683,c_6613]) ).
tcf(c_22025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6683,c_21442]) ).
tcf(c_22046,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(X0,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_22018,c_6654]) ).
tcf(c_22050,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_22017,c_21364]) ).
tcf(c_22054,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(X0,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_22012,c_6654]) ).
tcf(c_22067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_22016,c_6607]) ).
tcf(c_22105,plain,
! [X0: $i] : c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_1258,c_961]) ).
tcf(c_22106,plain,
! [X0: $i] : c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1257,c_961]) ).
tcf(c_22107,plain,
! [X0: $i,X1: $i] :
( ( c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))),X1,tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(superposition,[status(thm)],[c_1256,c_961]) ).
tcf(c_22118,plain,
! [X0: $i,X1: $i] :
( ( c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))),X1,tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(superposition,[status(thm)],[c_1045,c_962]) ).
tcf(c_22126,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != X1 ) ),
inference(superposition,[status(thm)],[c_997,c_1005]) ).
tcf(c_22136,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1011,c_1021]) ).
tcf(c_22137,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(superposition,[status(thm)],[c_1010,c_1021]) ).
tcf(c_22141,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_22136]) ).
tcf(c_22142,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21455,c_22136]) ).
tcf(c_22143,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21461,c_22136]) ).
tcf(c_22147,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_22143]) ).
tcf(c_22152,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_21977,c_21975]) ).
tcf(c_22155,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21461,c_22152]) ).
tcf(c_22161,plain,
! [X0: $i] : c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_Polynomial_Opoly(tc_nat)) = X0,
inference(superposition,[status(thm)],[c_1131,c_21310]) ).
tcf(c_22162,plain,
! [X0: $i] : c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0,
inference(superposition,[status(thm)],[c_964,c_21310]) ).
tcf(c_22163,plain,
! [X0: $i,X1: $i] :
( ( c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_21310]) ).
tcf(c_22172,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6432,c_21402]) ).
tcf(c_22173,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6552,c_21402]) ).
tcf(c_22174,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6559,c_21402]) ).
tcf(c_22175,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21346,c_21402]) ).
tcf(c_22178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21402,c_6683]) ).
tcf(c_22179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21402,c_6619]) ).
tcf(c_22180,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_6406]) ).
tcf(c_22181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21402,c_6683]) ).
tcf(c_22182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21402,c_6619]) ).
tcf(c_22183,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_6607]) ).
tcf(c_22184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21402,c_6683]) ).
tcf(c_22185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21402,c_6619]) ).
tcf(c_22225,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21435,c_6406]) ).
tcf(c_22226,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21435,c_6613]) ).
tcf(c_22227,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21435,c_21441]) ).
tcf(c_22228,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21435,c_6552]) ).
tcf(c_22229,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21435,c_6543]) ).
tcf(c_22230,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21435,c_6648]) ).
tcf(c_22231,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21435,c_6613]) ).
tcf(c_22232,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21435,c_21442]) ).
tcf(c_22236,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_22229,c_21980]) ).
tcf(c_22237,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_22225,c_22175]) ).
tcf(c_22238,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_22231,c_22175]) ).
tcf(c_22251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6406,c_6701]) ).
tcf(c_22252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_6701]) ).
tcf(c_22253,plain,
! [X0: $i,X1: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6492,c_6701]) ).
tcf(c_22254,plain,
! [X0: $i,X1: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_6701]) ).
tcf(c_22255,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6619,c_6701]) ).
tcf(c_22256,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6631,c_6701]) ).
tcf(c_22257,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6654,c_6701]) ).
tcf(c_22258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6683,c_6701]) ).
tcf(c_22259,plain,
! [X0: $i,X1: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_6701]) ).
tcf(c_22260,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21435,c_6701]) ).
tcf(c_22261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6406,c_6701]) ).
tcf(c_22262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_6701]) ).
tcf(c_22263,plain,
! [X0: $i,X1: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6492,c_6701]) ).
tcf(c_22264,plain,
! [X0: $i,X1: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_6701]) ).
tcf(c_22265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6619,c_6701]) ).
tcf(c_22266,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6631,c_6701]) ).
tcf(c_22267,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6654,c_6701]) ).
tcf(c_22268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6683,c_6701]) ).
tcf(c_22269,plain,
! [X0: $i,X1: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_6701]) ).
tcf(c_22270,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21435,c_6701]) ).
tcf(c_22271,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6701,c_21355]) ).
tcf(c_22273,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_22267,c_6654]) ).
tcf(c_22274,plain,
! [X0: $i,X1: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_22266,c_21469]) ).
tcf(c_22275,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_22263,c_6492]) ).
tcf(c_22277,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_22270,c_22175]) ).
tcf(c_22278,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_22269,c_21253]) ).
tcf(c_22312,plain,
! [X0: $i] : c_Polynomial_Omonom(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),
inference(superposition,[status(thm)],[c_1031,c_1039]) ).
tcf(c_22313,plain,
! [X0: $i] : c_Polynomial_Omonom(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_1030,c_1039]) ).
tcf(c_22314,plain,
! [X0: $i,X1: $i] :
( ( c_Polynomial_Omonom(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))) )
| ~ class_HOL_Ozero(X0) ),
inference(superposition,[status(thm)],[c_1029,c_1039]) ).
tcf(c_22325,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_964,c_1133]) ).
tcf(c_22326,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X0)) = c_HOL_Otimes__class_Otimes(X2,X1,tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_1133]) ).
tcf(c_22336,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_964,c_1152]) ).
tcf(c_22337,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(X0)) = c_HOL_Oplus__class_Oplus(X2,X1,tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_1152]) ).
tcf(c_22347,plain,
! [X0: $i] : c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),
inference(superposition,[status(thm)],[c_1258,c_1160]) ).
tcf(c_22348,plain,
! [X0: $i] : c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_1257,c_1160]) ).
tcf(c_22349,plain,
! [X0: $i,X1: $i] :
( ( c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(superposition,[status(thm)],[c_1256,c_1160]) ).
tcf(c_22387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22325,c_6683]) ).
tcf(c_22388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22325,c_6619]) ).
tcf(c_22389,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22325,c_6406]) ).
tcf(c_22390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22325,c_6683]) ).
tcf(c_22391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22325,c_6619]) ).
tcf(c_22394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22325,c_6683]) ).
tcf(c_22395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22325,c_6619]) ).
tcf(c_22429,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22336,c_6613]) ).
tcf(c_22430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22336,c_6619]) ).
tcf(c_22436,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6432,c_21493]) ).
tcf(c_22437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6552,c_21493]) ).
tcf(c_22438,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6559,c_21493]) ).
tcf(c_22439,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21346,c_21493]) ).
tcf(c_22441,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6607,c_21493]) ).
tcf(c_22444,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22325,c_21493]) ).
tcf(c_22445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6406,c_21493]) ).
tcf(c_22446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_21493]) ).
tcf(c_22448,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_21493]) ).
tcf(c_22449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6619,c_21493]) ).
tcf(c_22450,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6631,c_21493]) ).
tcf(c_22451,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6654,c_21493]) ).
tcf(c_22452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6683,c_21493]) ).
tcf(c_22453,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_21493]) ).
tcf(c_22454,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21435,c_21493]) ).
tcf(c_22455,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_22451,c_6432]) ).
tcf(c_22460,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_22454,c_21346]) ).
tcf(c_22461,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_22453,c_21975]) ).
tcf(c_22462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_22446,c_10735]) ).
tcf(c_22463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_22452,c_22228]) ).
tcf(c_22467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_22449,c_22228]) ).
tcf(c_22483,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6607,c_22460]) ).
tcf(c_22486,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22325,c_22460]) ).
tcf(c_22488,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10643,c_22460]) ).
tcf(c_22492,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_22460]) ).
tcf(c_22494,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22325,c_22460]) ).
tcf(c_22507,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10643,c_22486]) ).
tcf(c_22511,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_22486]) ).
tcf(c_22513,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22325,c_22486]) ).
tcf(c_22531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22325,c_6716]) ).
tcf(c_22533,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10643,c_6716]) ).
tcf(c_22534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6607,c_6716]) ).
tcf(c_22535,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) != X2 ) ),
inference(superposition,[status(thm)],[c_21364,c_6716]) ).
tcf(c_22536,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) != X2 ) ),
inference(superposition,[status(thm)],[c_21375,c_6716]) ).
tcf(c_22537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21402,c_6716]) ).
tcf(c_22539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22325,c_6716]) ).
tcf(c_22545,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) != X2 ) ),
inference(light_normalisation,[status(thm)],[c_22535,c_6654]) ).
tcf(c_22580,plain,
! [X0: $i,X1: $i] :
( ( c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))) )
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(superposition,[status(thm)],[c_1045,c_1162]) ).
tcf(c_22588,plain,
! [X0: $i,X1: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = X0,
inference(superposition,[status(thm)],[c_1269,c_1278]) ).
tcf(c_22589,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(X0)),X2,tc_Polynomial_Opoly(X0)) = X1 )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(superposition,[status(thm)],[c_1009,c_1278]) ).
tcf(c_22597,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(superposition,[status(thm)],[c_1009,c_1284]) ).
tcf(c_22608,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6607,c_22492]) ).
tcf(c_22612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6406,c_22492]) ).
tcf(c_22613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_22492]) ).
tcf(c_22615,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_22492]) ).
tcf(c_22616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6619,c_22492]) ).
tcf(c_22617,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6631,c_22492]) ).
tcf(c_22619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6683,c_22492]) ).
tcf(c_22620,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_22492]) ).
tcf(c_22623,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_22615,c_21402]) ).
tcf(c_22637,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6607,c_22620]) ).
tcf(c_22640,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22325,c_22620]) ).
tcf(c_22641,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_22620]) ).
tcf(c_22643,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21461,c_22620]) ).
tcf(c_22644,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_22637,c_10416]) ).
tcf(c_22653,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_22640]) ).
tcf(c_22654,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21455,c_22640]) ).
tcf(c_22655,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21461,c_22640]) ).
tcf(c_22658,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_22643]) ).
tcf(c_22662,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10643,c_22643]) ).
tcf(c_22663,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6607,c_22643]) ).
tcf(c_22666,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_22643]) ).
tcf(c_22667,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21443,c_22643]) ).
tcf(c_22673,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_22655]) ).
tcf(c_22685,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_22663]) ).
tcf(c_22686,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21455,c_22663]) ).
tcf(c_22688,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6406,c_22663]) ).
tcf(c_22689,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_22663]) ).
tcf(c_22691,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_22663]) ).
tcf(c_22692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6619,c_22663]) ).
tcf(c_22695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6683,c_22663]) ).
tcf(c_22696,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_22663]) ).
tcf(c_22699,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_22688,c_21980]) ).
tcf(c_22712,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6607,c_22494]) ).
tcf(c_22724,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_22712,c_22389]) ).
tcf(c_22730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6406,c_22511]) ).
tcf(c_22731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_22511]) ).
tcf(c_22733,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_22511]) ).
tcf(c_22734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6619,c_22511]) ).
tcf(c_22737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6683,c_22511]) ).
tcf(c_22765,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6613,c_22588]) ).
tcf(c_22768,plain,
! [X0: $i,X1: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = X1,
inference(superposition,[status(thm)],[c_22336,c_22588]) ).
tcf(c_22769,plain,
! [X0: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0,
inference(superposition,[status(thm)],[c_22143,c_22588]) ).
tcf(c_22776,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_22608]) ).
tcf(c_22778,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6406,c_22608]) ).
tcf(c_22779,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_22608]) ).
tcf(c_22780,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6492,c_22608]) ).
tcf(c_22781,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_22608]) ).
tcf(c_22782,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6619,c_22608]) ).
tcf(c_22785,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6683,c_22608]) ).
tcf(c_22818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6406,c_6731]) ).
tcf(c_22819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X3,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) )
| ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6415,c_6731]) ).
tcf(c_22821,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6648,c_6731]) ).
tcf(c_22822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X4,X5,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6619,c_6731]) ).
tcf(c_22823,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6631,c_6731]) ).
tcf(c_22824,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) != X2 ) ),
inference(superposition,[status(thm)],[c_6654,c_6731]) ).
tcf(c_22825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) )
| ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X4,X5,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6683,c_6731]) ).
tcf(c_22826,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21253,c_6731]) ).
tcf(c_22827,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21435,c_6731]) ).
tcf(c_22829,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) != X2 ) ),
inference(light_normalisation,[status(thm)],[c_22824,c_21364]) ).
tcf(c_22894,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = X0,
inference(superposition,[status(thm)],[c_1269,c_1287]) ).
tcf(c_22895,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,tc_Polynomial_Opoly(X0)),X2,tc_Polynomial_Opoly(X0)) = X1 )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(superposition,[status(thm)],[c_1009,c_1287]) ).
tcf(c_22903,plain,
! [X0: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1269,c_1289]) ).
tcf(c_22904,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)) = c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)) )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(superposition,[status(thm)],[c_1009,c_1289]) ).
tcf(c_22916,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6552,c_12538]) ).
tcf(c_22918,plain,
! [X0: $i] :
( ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) != X0 ) ),
inference(superposition,[status(thm)],[c_21346,c_12538]) ).
tcf(c_22940,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6613,c_22768]) ).
tcf(c_22947,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1,
inference(demodulation,[status(thm)],[c_22894,c_22336]) ).
tcf(c_22949,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6701,c_22947]) ).
tcf(c_22953,plain,
! [X0: $i,X1: $i] : c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1,
inference(superposition,[status(thm)],[c_22947,c_22588]) ).
tcf(c_22963,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6701,c_22953]) ).
tcf(c_22969,plain,
! [X0: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0,
inference(superposition,[status(thm)],[c_22953,c_22903]) ).
tcf(c_22973,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6432,c_22666]) ).
tcf(c_22974,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6552,c_22666]) ).
tcf(c_22975,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6559,c_22666]) ).
tcf(c_22976,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21346,c_22666]) ).
tcf(c_22977,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6406,c_22666]) ).
tcf(c_22978,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_22666]) ).
tcf(c_22979,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6492,c_22666]) ).
tcf(c_22980,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_22666]) ).
tcf(c_22981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6619,c_22666]) ).
tcf(c_22982,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6631,c_22666]) ).
tcf(c_22983,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6654,c_22666]) ).
tcf(c_22984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6683,c_22666]) ).
tcf(c_22985,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_22666]) ).
tcf(c_22986,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21435,c_22666]) ).
tcf(c_22992,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_22985,c_21975]) ).
tcf(c_22993,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_22974,c_6543]) ).
tcf(c_22994,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_22978,c_10735]) ).
tcf(c_22995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_22984,c_22228]) ).
tcf(c_22999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_22981,c_22228]) ).
tcf(c_23023,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_22992,c_21461]) ).
tcf(c_23028,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X2 ) ),
inference(superposition,[status(thm)],[c_993,c_21592]) ).
tcf(c_23030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_991,c_21592]) ).
tcf(c_23031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_990,c_21592]) ).
tcf(c_23032,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1099,c_21592]) ).
tcf(c_23033,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1108,c_21592]) ).
tcf(c_23034,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_4713,c_21592]) ).
tcf(c_23035,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_4714,c_21592]) ).
tcf(c_23036,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_21890,c_21592]) ).
tcf(c_23038,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21655,c_21592]) ).
tcf(c_23039,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21659,c_21592]) ).
tcf(c_23040,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21688,c_21592]) ).
tcf(c_23041,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21692,c_21592]) ).
tcf(c_23082,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6406,c_6746]) ).
tcf(c_23083,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex) )
| ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6415,c_6746]) ).
tcf(c_23085,plain,
! [X0: $i] :
( ( c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6648,c_6746]) ).
tcf(c_23086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6619,c_6746]) ).
tcf(c_23087,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6631,c_6746]) ).
tcf(c_23089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex) )
| ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6683,c_6746]) ).
tcf(c_23090,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21253,c_6746]) ).
tcf(c_23091,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21435,c_6746]) ).
tcf(c_23152,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) != X0 ) ),
inference(superposition,[status(thm)],[c_7515,c_12556]) ).
tcf(c_23161,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_993,c_909]) ).
tcf(c_23163,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_21890,c_909]) ).
tcf(c_23164,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_977,c_909]) ).
tcf(c_23165,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_902,c_909]) ).
tcf(c_23182,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_993,c_910]) ).
tcf(c_23184,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_21890,c_910]) ).
tcf(c_23185,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_977,c_910]) ).
tcf(c_23201,plain,
! [X0: $i] : c_Polynomial_Odegree(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) = c_Polynomial_Odegree(X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1011,c_928]) ).
tcf(c_23202,plain,
! [X0: $i,X1: $i] :
( ( c_Polynomial_Odegree(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))),tc_Polynomial_Opoly(X0)) = c_Polynomial_Odegree(X1,tc_Polynomial_Opoly(X0)) )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(superposition,[status(thm)],[c_1010,c_928]) ).
tcf(c_23213,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_997,c_21662]) ).
tcf(c_23220,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21662,c_12054]) ).
tcf(c_23222,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_997,c_21695]) ).
tcf(c_23229,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21695,c_12054]) ).
tcf(c_23239,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_21888,c_12054]) ).
tcf(c_23241,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_21888,c_21592]) ).
tcf(c_23242,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_21888,c_987]) ).
tcf(c_23245,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21888,c_21613]) ).
tcf(c_23246,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21888,c_21615]) ).
tcf(c_23274,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21975,c_21435]) ).
tcf(c_23276,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21975,c_22666]) ).
tcf(c_23278,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21975,c_21493]) ).
tcf(c_23279,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21975,c_21402]) ).
tcf(c_23280,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21975,c_21442]) ).
tcf(c_23283,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_23279,c_21253]) ).
tcf(c_23285,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_23274,c_21253]) ).
tcf(c_23287,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6406,c_21989]) ).
tcf(c_23288,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_21989]) ).
tcf(c_23289,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6492,c_21989]) ).
tcf(c_23290,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_21989]) ).
tcf(c_23291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6619,c_21989]) ).
tcf(c_23292,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6631,c_21989]) ).
tcf(c_23293,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6654,c_21989]) ).
tcf(c_23294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6683,c_21989]) ).
tcf(c_23295,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_21989]) ).
tcf(c_23296,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21435,c_21989]) ).
tcf(c_23297,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6406,c_21989]) ).
tcf(c_23298,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_21989]) ).
tcf(c_23299,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6631,c_21989]) ).
tcf(c_23300,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_21989]) ).
tcf(c_23301,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_21989]) ).
tcf(c_23302,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21455,c_21989]) ).
tcf(c_23310,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_23298,c_6648]) ).
tcf(c_23311,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_23290,c_21334]) ).
tcf(c_23312,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_23296,c_22236]) ).
tcf(c_23313,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_23301,c_22173]) ).
tcf(c_23314,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_23297,c_22389]) ).
tcf(c_23329,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6432,c_23310]) ).
tcf(c_23330,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6552,c_23310]) ).
tcf(c_23331,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6559,c_23310]) ).
tcf(c_23332,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21346,c_23310]) ).
tcf(c_23333,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21975,c_23310]) ).
tcf(c_23334,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21975,c_23310]) ).
tcf(c_23335,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_23310]) ).
tcf(c_23336,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21455,c_23310]) ).
tcf(c_23337,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21461,c_23310]) ).
tcf(c_23339,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_23334,c_6432]) ).
tcf(c_23342,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_23335,c_6552]) ).
tcf(c_23370,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21975,c_23337]) ).
tcf(c_23371,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_23337]) ).
tcf(c_23374,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6432,c_23337]) ).
tcf(c_23375,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6552,c_23337]) ).
tcf(c_23376,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6559,c_23337]) ).
tcf(c_23377,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21346,c_23337]) ).
tcf(c_23378,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21975,c_23337]) ).
tcf(c_23380,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_23374,c_21975]) ).
tcf(c_23382,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_23375,c_6543]) ).
tcf(c_23389,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7614,c_7562]) ).
tcf(c_23390,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7620,c_7562]) ).
tcf(c_23391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7562,c_7562]) ).
tcf(c_23392,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7562,c_7614]) ).
tcf(c_23393,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7562,c_7626]) ).
tcf(c_23394,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(light_normalisation,[status(thm)],[c_23390,c_7574]) ).
tcf(c_23403,plain,
! [X0: $i] : c_Polynomial_Odegree(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_1046,c_935]) ).
tcf(c_23404,plain,
! [X0: $i,X1: $i] :
( ( c_Polynomial_Odegree(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(superposition,[status(thm)],[c_1045,c_935]) ).
tcf(c_23430,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6406,c_21994]) ).
tcf(c_23431,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_21994]) ).
tcf(c_23433,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_21994]) ).
tcf(c_23434,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_21994]) ).
tcf(c_23437,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6406,c_21994]) ).
tcf(c_23438,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_21994]) ).
tcf(c_23439,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6492,c_21994]) ).
tcf(c_23440,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_21994]) ).
tcf(c_23441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6619,c_21994]) ).
tcf(c_23442,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6631,c_21994]) ).
tcf(c_23443,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6654,c_21994]) ).
tcf(c_23444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6683,c_21994]) ).
tcf(c_23445,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_21994]) ).
tcf(c_23446,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21435,c_21994]) ).
tcf(c_23453,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_23446,c_22236]) ).
tcf(c_23454,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_23434,c_22173]) ).
tcf(c_23455,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_23438,c_21250]) ).
tcf(c_23505,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22175,c_6406]) ).
tcf(c_23508,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22175,c_21994]) ).
tcf(c_23509,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22175,c_21989]) ).
tcf(c_23510,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22175,c_6746]) ).
tcf(c_23511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22175,c_6731]) ).
tcf(c_23515,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22175,c_6701]) ).
tcf(c_23516,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22175,c_6613]) ).
tcf(c_23519,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22175,c_6543]) ).
tcf(c_23520,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22175,c_6648]) ).
tcf(c_23521,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22175,c_6701]) ).
tcf(c_23522,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22175,c_6613]) ).
tcf(c_23523,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22175,c_22666]) ).
tcf(c_23524,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22175,c_21493]) ).
tcf(c_23525,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22175,c_21442]) ).
tcf(c_23533,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_23508,c_22236]) ).
tcf(c_23534,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_23519,c_22236]) ).
tcf(c_23535,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_23505,c_22175]) ).
tcf(c_23539,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_23522,c_22175]) ).
tcf(c_23540,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_23521,c_22175]) ).
tcf(c_23545,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_22494,c_23535]) ).
tcf(c_23550,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6432,c_22441]) ).
tcf(c_23551,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6552,c_22441]) ).
tcf(c_23552,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6559,c_22441]) ).
tcf(c_23553,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21346,c_22441]) ).
tcf(c_23554,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21975,c_22441]) ).
tcf(c_23557,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_22441]) ).
tcf(c_23560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6406,c_22441]) ).
tcf(c_23561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_22441]) ).
tcf(c_23563,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_22441]) ).
tcf(c_23564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6619,c_22441]) ).
tcf(c_23565,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6631,c_22441]) ).
tcf(c_23566,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6654,c_22441]) ).
tcf(c_23567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6683,c_22441]) ).
tcf(c_23568,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_22441]) ).
tcf(c_23569,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22175,c_22441]) ).
tcf(c_23570,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21435,c_22441]) ).
tcf(c_23577,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_23568,c_10416,c_21975]) ).
tcf(c_23579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_23561,c_10735]) ).
tcf(c_23580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_23567,c_22228]) ).
tcf(c_23584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_23564,c_22228]) ).
tcf(c_23599,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_23557,c_6543]) ).
tcf(c_23600,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6432,c_23599]) ).
tcf(c_23601,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6552,c_23599]) ).
tcf(c_23603,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21346,c_23599]) ).
tcf(c_23604,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21975,c_23599]) ).
tcf(c_23605,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6406,c_23599]) ).
tcf(c_23608,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_23599]) ).
tcf(c_23609,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_23599]) ).
tcf(c_23610,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21455,c_23599]) ).
tcf(c_23611,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21461,c_23599]) ).
tcf(c_23615,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_23609,c_6552]) ).
tcf(c_23624,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_23603,c_22236]) ).
tcf(c_23626,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_23611]) ).
tcf(c_23629,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6406,c_23611]) ).
tcf(c_23630,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_23611]) ).
tcf(c_23633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6619,c_23611]) ).
tcf(c_23634,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6631,c_23611]) ).
tcf(c_23635,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6654,c_23611]) ).
tcf(c_23636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6683,c_23611]) ).
tcf(c_23637,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_23611]) ).
tcf(c_23638,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22175,c_23611]) ).
tcf(c_23639,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21435,c_23611]) ).
tcf(c_23641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_23636,c_23534]) ).
tcf(c_23645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_23633,c_23534]) ).
tcf(c_23674,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6432,c_22444]) ).
tcf(c_23675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6552,c_22444]) ).
tcf(c_23676,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6559,c_22444]) ).
tcf(c_23677,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21346,c_22444]) ).
tcf(c_23678,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21975,c_22444]) ).
tcf(c_23684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6406,c_22444]) ).
tcf(c_23685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_22444]) ).
tcf(c_23687,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_22444]) ).
tcf(c_23688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6619,c_22444]) ).
tcf(c_23689,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6631,c_22444]) ).
tcf(c_23691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6683,c_22444]) ).
tcf(c_23692,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_22444]) ).
tcf(c_23693,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22175,c_22444]) ).
tcf(c_23694,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21435,c_22444]) ).
tcf(c_23697,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_23692,c_21975]) ).
tcf(c_23698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_23685,c_10735]) ).
tcf(c_23699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_23691,c_22228]) ).
tcf(c_23703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_23688,c_22228]) ).
tcf(c_23723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7562,c_7568]) ).
tcf(c_23725,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7614,c_7568]) ).
tcf(c_23726,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7620,c_7568]) ).
tcf(c_23727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7568,c_7562]) ).
tcf(c_23728,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7568,c_7562]) ).
tcf(c_23729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7568,c_7568]) ).
tcf(c_23731,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7568,c_7626]) ).
tcf(c_23732,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(light_normalisation,[status(thm)],[c_23731,c_7626,c_23393]) ).
tcf(c_23752,plain,
c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_1011,c_1014]) ).
tcf(c_23753,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))),tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))) )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(superposition,[status(thm)],[c_1010,c_1014]) ).
tcf(c_23784,plain,
! [X0: $i,X1: $i] :
( ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_990,c_1100]) ).
tcf(c_23789,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21230,c_1100]) ).
tcf(c_23791,plain,
! [X0: $i,X1: $i] :
( ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_997,c_1100]) ).
tcf(c_23793,plain,
! [X0: $i] :
( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_994,c_1100]) ).
tcf(c_23825,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ( c_HOL_Oone__class_Oone(tc_nat) = X1 )
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_993,c_23784]) ).
tcf(c_23840,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23283,c_1168]) ).
tcf(c_23846,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23283,c_6683]) ).
tcf(c_23847,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23283,c_6619]) ).
tcf(c_23848,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23283,c_6406]) ).
tcf(c_23849,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23283,c_6716]) ).
tcf(c_23850,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23283,c_6683]) ).
tcf(c_23851,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23283,c_6619]) ).
tcf(c_23853,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23283,c_6607]) ).
tcf(c_23854,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23283,c_6683]) ).
tcf(c_23855,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23283,c_6619]) ).
tcf(c_23864,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23283,c_22486]) ).
tcf(c_23865,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23283,c_22513]) ).
tcf(c_23866,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23283,c_22640]) ).
tcf(c_23870,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_23848,c_21973]) ).
tcf(c_23887,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_23855,c_21253]) ).
tcf(c_23891,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_23854,c_21253]) ).
tcf(c_23914,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23285,c_6683]) ).
tcf(c_23915,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23285,c_6619]) ).
tcf(c_23916,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23285,c_6406]) ).
tcf(c_23917,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23285,c_6716]) ).
tcf(c_23918,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23285,c_6683]) ).
tcf(c_23919,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23285,c_6619]) ).
tcf(c_23922,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23285,c_6683]) ).
tcf(c_23923,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23285,c_6619]) ).
tcf(c_23933,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_23916,c_10416]) ).
tcf(c_23934,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_23917,c_21253]) ).
tcf(c_23939,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_23923,c_23285]) ).
tcf(c_23943,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_23922,c_23285]) ).
tcf(c_23947,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_23919,c_21253]) ).
tcf(c_23951,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_23918,c_21253]) ).
tcf(c_23988,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10643,c_23312]) ).
tcf(c_23989,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6607,c_23312]) ).
tcf(c_23990,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23283,c_23312]) ).
tcf(c_23991,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21364,c_23312]) ).
tcf(c_23992,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21375,c_23312]) ).
tcf(c_23993,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_23312]) ).
tcf(c_23994,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21443,c_23312]) ).
tcf(c_23995,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22325,c_23312]) ).
tcf(c_23996,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23285,c_23312]) ).
tcf(c_23998,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6607,c_23312]) ).
tcf(c_23999,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23283,c_23312]) ).
tcf(c_24000,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21364,c_23312]) ).
tcf(c_24001,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21443,c_23312]) ).
tcf(c_24002,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22325,c_23312]) ).
tcf(c_24003,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23285,c_23312]) ).
tcf(c_24004,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_23312]) ).
tcf(c_24005,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21455,c_23312]) ).
tcf(c_24019,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6607,c_23453]) ).
tcf(c_24020,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23283,c_23453]) ).
tcf(c_24021,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21364,c_23453]) ).
tcf(c_24023,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22325,c_23453]) ).
tcf(c_24024,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23285,c_23453]) ).
tcf(c_24025,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_23453]) ).
tcf(c_24029,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10643,c_23453]) ).
tcf(c_24030,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6607,c_23453]) ).
tcf(c_24031,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23283,c_23453]) ).
tcf(c_24032,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21364,c_23453]) ).
tcf(c_24033,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21375,c_23453]) ).
tcf(c_24034,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_23453]) ).
tcf(c_24035,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21443,c_23453]) ).
tcf(c_24037,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23285,c_23453]) ).
tcf(c_24060,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6607,c_23533]) ).
tcf(c_24064,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22325,c_23533]) ).
tcf(c_24065,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23285,c_23533]) ).
tcf(c_24066,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_23533]) ).
tcf(c_24067,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21455,c_23533]) ).
tcf(c_24081,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_24060,c_10416]) ).
tcf(c_24106,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7574,c_7562]) ).
tcf(c_24107,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7574,c_7568]) ).
tcf(c_24109,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7574,c_7626]) ).
tcf(c_24117,plain,
! [X0: $i] : c_Polynomial_Osmult(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_nat) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),
inference(superposition,[status(thm)],[c_1258,c_1161]) ).
tcf(c_24118,plain,
! [X0: $i] : c_Polynomial_Osmult(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_1257,c_1161]) ).
tcf(c_24119,plain,
! [X0: $i,X1: $i] :
( ( c_Polynomial_Osmult(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))),tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(superposition,[status(thm)],[c_1256,c_1161]) ).
tcf(c_24130,plain,
! [X0: $i,X1: $i] :
( ( c_Polynomial_Osmult(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))),tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))) )
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(superposition,[status(thm)],[c_1045,c_1163]) ).
tcf(c_24154,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22486,c_1182]) ).
tcf(c_24155,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22492,c_1182]) ).
tcf(c_24156,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22513,c_1182]) ).
tcf(c_24157,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22511,c_1182]) ).
tcf(c_24158,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22608,c_1182]) ).
tcf(c_24159,plain,
! [X0: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22620,c_1182]) ).
tcf(c_24160,plain,
! [X0: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22640,c_1182]) ).
tcf(c_24161,plain,
( ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23332,c_1182]) ).
tcf(c_24165,plain,
! [X0: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_24158,c_6631]) ).
tcf(c_24166,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_24157,c_964]) ).
tcf(c_24167,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_24156,c_964]) ).
tcf(c_24168,plain,
! [X0: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_24155,c_6631]) ).
tcf(c_24169,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_24154,c_964]) ).
tcf(c_24179,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6543,c_1264]) ).
tcf(c_24181,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21461,c_1264]) ).
tcf(c_24183,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1264,c_12548]) ).
tcf(c_24184,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24181,c_1263]) ).
tcf(c_24190,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24179,c_1263]) ).
tcf(c_24213,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22486,c_24184]) ).
tcf(c_24214,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22492,c_24184]) ).
tcf(c_24215,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22513,c_24184]) ).
tcf(c_24216,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22511,c_24184]) ).
tcf(c_24217,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22608,c_24184]) ).
tcf(c_24218,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22620,c_24184]) ).
tcf(c_24219,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22640,c_24184]) ).
tcf(c_24224,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23332,c_24184]) ).
tcf(c_24225,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6543,c_24184]) ).
tcf(c_24227,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21461,c_24184]) ).
tcf(c_24232,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_24217,c_10416]) ).
tcf(c_24233,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_24214,c_10416]) ).
tcf(c_24241,plain,
( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(instantiation,[status(thm)],[c_1262]) ).
tcf(c_24280,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6607,c_23995]) ).
tcf(c_24283,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21443,c_23995]) ).
tcf(c_24284,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22325,c_23995]) ).
tcf(c_24285,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23285,c_23995]) ).
tcf(c_24286,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_23995]) ).
tcf(c_24287,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21455,c_23995]) ).
tcf(c_24296,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10643,c_24002]) ).
tcf(c_24297,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6607,c_24002]) ).
tcf(c_24298,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23283,c_24002]) ).
tcf(c_24299,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21364,c_24002]) ).
tcf(c_24300,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21375,c_24002]) ).
tcf(c_24301,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_24002]) ).
tcf(c_24302,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21443,c_24002]) ).
tcf(c_24304,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23285,c_24002]) ).
tcf(c_24312,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_24002]) ).
tcf(c_24327,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_24023]) ).
tcf(c_24331,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10643,c_24023]) ).
tcf(c_24332,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6607,c_24023]) ).
tcf(c_24333,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23283,c_24023]) ).
tcf(c_24334,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21364,c_24023]) ).
tcf(c_24335,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21375,c_24023]) ).
tcf(c_24336,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_24023]) ).
tcf(c_24337,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21443,c_24023]) ).
tcf(c_24339,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23285,c_24023]) ).
tcf(c_24356,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_24064]) ).
tcf(c_24357,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21455,c_24064]) ).
tcf(c_24371,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_24109,c_1168]) ).
tcf(c_24372,plain,
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_24109,c_1169]) ).
tcf(c_24373,plain,
c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_24109,c_7574]) ).
tcf(c_24374,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_24109,c_7568]) ).
tcf(c_24384,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7580,c_7562]) ).
tcf(c_24386,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7580,c_7568]) ).
tcf(c_24387,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7580,c_7626]) ).
tcf(c_24388,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(light_normalisation,[status(thm)],[c_24384,c_23394]) ).
tcf(c_24400,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1190,c_1265]) ).
tcf(c_24402,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X0),X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1181,c_1265]) ).
tcf(c_24403,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0),X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1169,c_1265]) ).
tcf(c_24404,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0),X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1168,c_1265]) ).
tcf(c_24406,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_21274,c_1265]) ).
tcf(c_24407,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_21270,c_1265]) ).
tcf(c_24408,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),X1,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_21292,c_1265]) ).
tcf(c_24411,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21441,c_1265]) ).
tcf(c_24413,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21972,c_1265]) ).
tcf(c_24418,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22492,c_1265]) ).
tcf(c_24421,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22608,c_1265]) ).
tcf(c_24422,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22620,c_1265]) ).
tcf(c_24423,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22640,c_1265]) ).
tcf(c_24430,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6543,c_1265]) ).
tcf(c_24432,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21461,c_1265]) ).
tcf(c_24436,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_24413,c_21461]) ).
tcf(c_24440,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_24411,c_10416]) ).
tcf(c_24449,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_24423,c_21461]) ).
tcf(c_24450,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_24422,c_21461]) ).
tcf(c_24451,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_24421,c_10416]) ).
tcf(c_24452,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_24418,c_10416]) ).
tcf(c_24477,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6543,c_1266]) ).
tcf(c_24479,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21461,c_1266]) ).
tcf(c_24481,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_1266,c_1265]) ).
tcf(c_24482,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
inference(superposition,[status(thm)],[c_1266,c_1182]) ).
tcf(c_24483,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1266,c_12548]) ).
tcf(c_24484,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1266,c_24184]) ).
tcf(c_24485,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24479,c_1263]) ).
tcf(c_24488,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24484,c_1263]) ).
tcf(c_24501,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24477,c_1263]) ).
tcf(c_24520,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1192,c_1267]) ).
tcf(c_24521,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1190,c_1267]) ).
tcf(c_24523,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X2),X1,X2)
| ~ class_Ring__and__Field_Ocomm__ring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) ),
inference(superposition,[status(thm)],[c_1264,c_1267]) ).
tcf(c_24525,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),X0,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_21270,c_1267]) ).
tcf(c_24529,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21991,c_1267]) ).
tcf(c_24531,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23377,c_1267]) ).
tcf(c_24532,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24227,c_1267]) ).
tcf(c_24533,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6543,c_1267]) ).
tcf(c_24535,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21461,c_1267]) ).
tcf(c_24546,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24535,c_1263]) ).
tcf(c_24549,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_24531,c_1263]) ).
tcf(c_24550,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24532,c_1263]) ).
tcf(c_24556,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24533,c_1263]) ).
tcf(c_24590,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = X1 )
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X0)) ),
inference(superposition,[status(thm)],[c_1261,c_1356]) ).
tcf(c_24599,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24407,c_1265]) ).
tcf(c_24600,plain,
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24407,c_1182]) ).
tcf(c_24601,plain,
! [X0: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24407,c_12548]) ).
tcf(c_24606,plain,
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24600,c_1131]) ).
tcf(c_24615,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),X0,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24525,c_1267]) ).
tcf(c_24617,plain,
! [X0: $i] :
( ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24525,c_12548]) ).
tcf(c_24637,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21991,c_24485]) ).
tcf(c_24656,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24546,c_1182]) ).
tcf(c_24659,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24656,c_964]) ).
tcf(c_24668,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24599,c_1265]) ).
tcf(c_24669,plain,
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24599,c_1182]) ).
tcf(c_24670,plain,
! [X0: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24599,c_12548]) ).
tcf(c_24675,plain,
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24669,c_1131]) ).
tcf(c_24688,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat),X0,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24615,c_1267]) ).
tcf(c_24690,plain,
! [X0: $i] :
( ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24615,c_12548]) ).
tcf(c_24700,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_24109,c_7591]) ).
tcf(c_24702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7591,c_7562]) ).
tcf(c_24703,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7591,c_7562]) ).
tcf(c_24704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7591,c_7568]) ).
tcf(c_24705,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7591,c_7574]) ).
tcf(c_24706,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7591,c_7620]) ).
tcf(c_24708,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(light_normalisation,[status(thm)],[c_24703,c_7591]) ).
tcf(c_24724,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ominus__class_Ominus(X1,X1,tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X0)) ),
inference(superposition,[status(thm)],[c_1261,c_1363]) ).
tcf(c_24734,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_993,c_923]) ).
tcf(c_24735,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_993,c_923]) ).
tcf(c_24737,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_903,c_923]) ).
tcf(c_24738,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_915,c_923]) ).
tcf(c_24740,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1129,c_923]) ).
tcf(c_24741,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1128,c_923]) ).
tcf(c_24742,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_902,c_923]) ).
tcf(c_24743,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_903,c_923]) ).
tcf(c_24744,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_915,c_923]) ).
tcf(c_24746,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1129,c_923]) ).
tcf(c_24747,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1128,c_923]) ).
tcf(c_24755,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(light_normalisation,[status(thm)],[c_24743,c_903]) ).
tcf(c_24791,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_993,c_924]) ).
tcf(c_24792,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_993,c_924]) ).
tcf(c_24793,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_902,c_924]) ).
tcf(c_24797,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1129,c_924]) ).
tcf(c_24798,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1128,c_924]) ).
tcf(c_24799,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_902,c_924]) ).
tcf(c_24800,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_903,c_924]) ).
tcf(c_24803,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1129,c_924]) ).
tcf(c_24804,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_1128,c_924]) ).
tcf(c_24825,plain,
! [X0: $i] : c_Polynomial_Odegree(c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_1031,c_932]) ).
tcf(c_24826,plain,
! [X0: $i] : c_Polynomial_Odegree(c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_1030,c_932]) ).
tcf(c_24827,plain,
! [X0: $i,X1: $i] :
( ( c_Polynomial_Odegree(c_Polynomial_OpCons(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))),tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_HOL_Ozero(X0) ),
inference(superposition,[status(thm)],[c_1029,c_932]) ).
tcf(c_24853,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23283,c_24213]) ).
tcf(c_24855,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_24213]) ).
tcf(c_24856,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22325,c_24213]) ).
tcf(c_24863,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23285,c_24213]) ).
tcf(c_24864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_24213]) ).
tcf(c_24865,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21455,c_24213]) ).
tcf(c_24866,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21461,c_24213]) ).
tcf(c_24867,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24213,c_1265]) ).
tcf(c_24868,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24213,c_1182]) ).
tcf(c_24869,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24213,c_24184]) ).
tcf(c_24873,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_24867,c_21461]) ).
tcf(c_24879,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_24853,c_21980]) ).
tcf(c_24882,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23283,c_24215]) ).
tcf(c_24884,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_24215]) ).
tcf(c_24885,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22325,c_24215]) ).
tcf(c_24893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_24215]) ).
tcf(c_24894,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21455,c_24215]) ).
tcf(c_24895,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21461,c_24215]) ).
tcf(c_24896,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24215,c_1265]) ).
tcf(c_24897,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24215,c_1182]) ).
tcf(c_24898,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24215,c_24184]) ).
tcf(c_24902,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_24896,c_21461]) ).
tcf(c_24908,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_24216,c_10416]) ).
tcf(c_24909,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21975,c_24224]) ).
tcf(c_24910,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_24224]) ).
tcf(c_24911,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21455,c_24224]) ).
tcf(c_24912,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21461,c_24224]) ).
tcf(c_24913,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24224,c_1265]) ).
tcf(c_24914,plain,
( ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24224,c_1182]) ).
tcf(c_24915,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24224,c_24184]) ).
tcf(c_24919,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_24913,c_21461]) ).
tcf(c_24939,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_24284]) ).
tcf(c_24945,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_24387,c_7562]) ).
tcf(c_24946,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Divides_Odiv__class_Omod(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_24387,c_7591]) ).
tcf(c_24949,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_24387,c_7591]) ).
tcf(c_24951,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(light_normalisation,[status(thm)],[c_24949,c_24387]) ).
tcf(c_24961,plain,
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21455,c_24400]) ).
tcf(c_24963,plain,
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_23752,c_24400]) ).
tcf(c_24964,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_24400,c_1267]) ).
tcf(c_24965,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0),X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_24400,c_1265]) ).
tcf(c_24966,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_24400,c_1182]) ).
tcf(c_24968,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24400,c_24184]) ).
tcf(c_24973,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_24968,c_21461]) ).
tcf(c_25011,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24406,c_1265]) ).
tcf(c_25012,plain,
! [X0: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24406,c_1182]) ).
tcf(c_25013,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24406,c_12548]) ).
tcf(c_25018,plain,
! [X0: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25012,c_1131]) ).
tcf(c_25028,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_24109,c_7597]) ).
tcf(c_25029,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_24387,c_7597]) ).
tcf(c_25030,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_24109,c_7597]) ).
tcf(c_25032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7597,c_7562]) ).
tcf(c_25033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7597,c_7568]) ).
tcf(c_25034,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7597,c_7568]) ).
tcf(c_25035,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7597,c_7580]) ).
tcf(c_25036,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7597,c_7591]) ).
tcf(c_25037,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7597,c_7620]) ).
tcf(c_25041,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(light_normalisation,[status(thm)],[c_25029,c_7644,c_24700]) ).
tcf(c_25042,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(light_normalisation,[status(thm)],[c_25030,c_24109]) ).
tcf(c_25053,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_997,c_971]) ).
tcf(c_25055,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_996,c_971]) ).
tcf(c_25056,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_994,c_971]) ).
tcf(c_25057,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_997,c_971]) ).
tcf(c_25060,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_994,c_971]) ).
tcf(c_25062,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_971,c_12054]) ).
tcf(c_25065,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_971,c_987]) ).
tcf(c_25067,plain,
! [X0: $i,X1: $i] :
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_971,c_1100]) ).
tcf(c_25109,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_993,c_972]) ).
tcf(c_25110,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_993,c_972]) ).
tcf(c_25114,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1099,c_972]) ).
tcf(c_25121,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_997,c_972]) ).
tcf(c_25123,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_996,c_972]) ).
tcf(c_25124,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_994,c_972]) ).
tcf(c_25125,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_997,c_972]) ).
tcf(c_25128,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_994,c_972]) ).
tcf(c_25155,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_996,c_973]) ).
tcf(c_25156,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_994,c_973]) ).
tcf(c_25159,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_996,c_973]) ).
tcf(c_25162,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_973,c_12054]) ).
tcf(c_25164,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_973,c_21592]) ).
tcf(c_25204,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_997,c_1002]) ).
tcf(c_25207,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) != X1 ) ),
inference(superposition,[status(thm)],[c_994,c_1002]) ).
tcf(c_25220,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),X1,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24408,c_1265]) ).
tcf(c_25221,plain,
! [X0: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24408,c_1182]) ).
tcf(c_25222,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),X1,tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24408,c_12548]) ).
tcf(c_25227,plain,
! [X0: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25221,c_1131]) ).
tcf(c_25243,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0),X1,X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_24521,c_1267]) ).
tcf(c_25247,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24521,c_24485]) ).
tcf(c_25252,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21975,c_24549]) ).
tcf(c_25253,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_24549]) ).
tcf(c_25254,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21455,c_24549]) ).
tcf(c_25255,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21461,c_24549]) ).
tcf(c_25256,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24549,c_1267]) ).
tcf(c_25257,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24549,c_24485]) ).
tcf(c_25260,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_25256,c_21461]) ).
tcf(c_25265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_24866]) ).
tcf(c_25270,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23283,c_24866]) ).
tcf(c_25272,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_24866]) ).
tcf(c_25273,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22325,c_24866]) ).
tcf(c_25275,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10643,c_24866]) ).
tcf(c_25276,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6607,c_24866]) ).
tcf(c_25277,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23283,c_24866]) ).
tcf(c_25278,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21364,c_24866]) ).
tcf(c_25280,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_24866]) ).
tcf(c_25283,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23285,c_24866]) ).
tcf(c_25286,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_25270,c_23534]) ).
tcf(c_25295,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_24884,c_22389]) ).
tcf(c_25296,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_24885,c_23535]) ).
tcf(c_25297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_24895]) ).
tcf(c_25302,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23283,c_24895]) ).
tcf(c_25304,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_24895]) ).
tcf(c_25305,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22325,c_24895]) ).
tcf(c_25307,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10643,c_24895]) ).
tcf(c_25320,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_25305,c_23535]) ).
tcf(c_25321,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_25304,c_22389]) ).
tcf(c_25326,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_24387,c_7603]) ).
tcf(c_25327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7603,c_7562]) ).
tcf(c_25328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7603,c_7568]) ).
tcf(c_25330,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7603,c_7626]) ).
tcf(c_25331,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0,
inference(light_normalisation,[status(thm)],[c_25330,c_7626]) ).
tcf(c_25348,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) != X1 ) ),
inference(superposition,[status(thm)],[c_996,c_1003]) ).
tcf(c_25358,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1,
inference(superposition,[status(thm)],[c_1011,c_1015]) ).
tcf(c_25359,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)),c_HOL_Oplus__class_Oplus(X2,X1,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = X2 )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(superposition,[status(thm)],[c_1010,c_1015]) ).
tcf(c_25368,plain,
! [X0: $i,X1: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1011,c_1016]) ).
tcf(c_25369,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Ominus__class_Ominus(X2,X1,tc_Polynomial_Opoly(X0)) )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(superposition,[status(thm)],[c_1010,c_1016]) ).
tcf(c_25380,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1011,c_1026]) ).
tcf(c_25381,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Ominus__class_Ominus(X1,X2,tc_Polynomial_Opoly(X0)) )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(superposition,[status(thm)],[c_1010,c_1026]) ).
tcf(c_25387,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_24912]) ).
tcf(c_25390,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6432,c_24912]) ).
tcf(c_25391,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6552,c_24912]) ).
tcf(c_25392,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6559,c_24912]) ).
tcf(c_25393,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21346,c_24912]) ).
tcf(c_25394,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21975,c_24912]) ).
tcf(c_25398,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_25390,c_21975]) ).
tcf(c_25399,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_25391,c_6543]) ).
tcf(c_25410,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,X0,tc_nat)
| c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_993,c_25065]) ).
tcf(c_25411,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),tc_nat)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_993,c_25065]) ).
tcf(c_25413,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_977,c_25065]) ).
tcf(c_25416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_973,c_25065]) ).
tcf(c_25417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_971,c_25065]) ).
tcf(c_25421,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_4713,c_25065]) ).
tcf(c_25431,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21692,c_25065]) ).
tcf(c_25432,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21695,c_25065]) ).
tcf(c_25470,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_997,c_25114]) ).
tcf(c_25477,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_25114,c_21592]) ).
tcf(c_25478,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_25114,c_987]) ).
tcf(c_25482,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat) ),
inference(light_normalisation,[status(thm)],[c_25478,c_999]) ).
tcf(c_25493,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,X0,tc_nat)
| c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_993,c_25164]) ).
tcf(c_25494,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_993,c_25164]) ).
tcf(c_25496,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_977,c_25164]) ).
tcf(c_25499,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_973,c_25164]) ).
tcf(c_25500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_971,c_25164]) ).
tcf(c_25501,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1099,c_25164]) ).
tcf(c_25504,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_4713,c_25164]) ).
tcf(c_25514,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21692,c_25164]) ).
tcf(c_25515,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21695,c_25164]) ).
tcf(c_25516,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_25114,c_25164]) ).
tcf(c_25517,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_21888,c_25164]) ).
tcf(c_25553,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_25252,c_6432,c_21461]) ).
tcf(c_25554,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6432,c_25255]) ).
tcf(c_25555,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6552,c_25255]) ).
tcf(c_25556,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6559,c_25255]) ).
tcf(c_25557,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21346,c_25255]) ).
tcf(c_25558,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21975,c_25255]) ).
tcf(c_25559,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_25255]) ).
tcf(c_25566,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_25555,c_6543]) ).
tcf(c_25567,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_25559,c_6552]) ).
tcf(c_25568,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_25567,c_6543]) ).
tcf(c_25572,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_25272,c_22389]) ).
tcf(c_25573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_25572]) ).
tcf(c_25574,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21455,c_25572]) ).
tcf(c_25577,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6607,c_25572]) ).
tcf(c_25581,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23285,c_25572]) ).
tcf(c_25582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6406,c_25572]) ).
tcf(c_25583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_25572]) ).
tcf(c_25584,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6492,c_25572]) ).
tcf(c_25585,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_25572]) ).
tcf(c_25586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6619,c_25572]) ).
tcf(c_25589,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6683,c_25572]) ).
tcf(c_25595,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_25581,c_6543]) ).
tcf(c_25596,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_25585,c_21402]) ).
tcf(c_25599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_25582,c_21980]) ).
tcf(c_25615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_25280]) ).
tcf(c_25616,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21455,c_25280]) ).
tcf(c_25624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6406,c_25280]) ).
tcf(c_25625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_25280]) ).
tcf(c_25627,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_25280]) ).
tcf(c_25628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6619,c_25280]) ).
tcf(c_25631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6683,c_25280]) ).
tcf(c_25638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_25624,c_21980]) ).
tcf(c_25675,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X2,
inference(superposition,[status(thm)],[c_6543,c_25358]) ).
tcf(c_25676,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0,
inference(superposition,[status(thm)],[c_21455,c_25358]) ).
tcf(c_25677,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1,
inference(superposition,[status(thm)],[c_21461,c_25358]) ).
tcf(c_25678,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6613,c_25358]) ).
tcf(c_25680,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = X0,
inference(superposition,[status(thm)],[c_21386,c_25358]) ).
tcf(c_25681,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1,
inference(superposition,[status(thm)],[c_22336,c_25358]) ).
tcf(c_25683,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = X1,
inference(superposition,[status(thm)],[c_22947,c_25358]) ).
tcf(c_25685,plain,
! [X0: $i,X1: $i] : c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25358,c_22768]) ).
tcf(c_25686,plain,
! [X0: $i,X1: $i] : c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25358,c_22588]) ).
tcf(c_25687,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25358,c_25358]) ).
tcf(c_25691,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_25678,c_6543]) ).
tcf(c_25697,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6701,c_25368]) ).
tcf(c_25699,plain,
! [X0: $i,X1: $i] : c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22588,c_25368]) ).
tcf(c_25700,plain,
! [X0: $i] : c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22903,c_25368]) ).
tcf(c_25703,plain,
! [X0: $i,X1: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22953,c_25368]) ).
tcf(c_25707,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25368,c_1267]) ).
tcf(c_25709,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25368,c_1264]) ).
tcf(c_25711,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25368,c_24546]) ).
tcf(c_25713,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25368,c_24064]) ).
tcf(c_25714,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25368,c_24023]) ).
tcf(c_25716,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25368,c_21994]) ).
tcf(c_25718,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X2,
inference(superposition,[status(thm)],[c_25368,c_25358]) ).
tcf(c_25719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25368,c_25280]) ).
tcf(c_25720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25368,c_25572]) ).
tcf(c_25725,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25368,c_24549]) ).
tcf(c_25726,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25368,c_24224]) ).
tcf(c_25727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25368,c_24215]) ).
tcf(c_25728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25368,c_24213]) ).
tcf(c_25730,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25368,c_24227]) ).
tcf(c_25732,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25368,c_23533]) ).
tcf(c_25733,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25368,c_23453]) ).
tcf(c_25735,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25368,c_23611]) ).
tcf(c_25737,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25368,c_23337]) ).
tcf(c_25739,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25368,c_22663]) ).
tcf(c_25742,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25368,c_22640]) ).
tcf(c_25743,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25368,c_22620]) ).
tcf(c_25744,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25368,c_21991]) ).
tcf(c_25754,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_25697,c_6701]) ).
tcf(c_25805,plain,
! [X0: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_24387,c_7609]) ).
tcf(c_25806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7609,c_7562]) ).
tcf(c_25807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7609,c_7568]) ).
tcf(c_25809,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7609,c_7626]) ).
tcf(c_25810,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0,
inference(light_normalisation,[status(thm)],[c_25809,c_7626]) ).
tcf(c_25811,plain,
! [X0: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0,
inference(light_normalisation,[status(thm)],[c_25805,c_7626]) ).
tcf(c_25812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(light_normalisation,[status(thm)],[c_25806,c_7562]) ).
tcf(c_25824,plain,
c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_nat) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),
inference(superposition,[status(thm)],[c_1031,c_1034]) ).
tcf(c_25825,plain,
c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_1030,c_1034]) ).
tcf(c_25826,plain,
! [X0: $i] :
( ( c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))),tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))) )
| ~ class_HOL_Ozero(X0) ),
inference(superposition,[status(thm)],[c_1029,c_1034]) ).
tcf(c_25838,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_915,c_1053]) ).
tcf(c_25840,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_1128,c_1053]) ).
tcf(c_25843,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6607,c_1053]) ).
tcf(c_25844,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21364,c_1053]) ).
tcf(c_25846,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22325,c_1053]) ).
tcf(c_25847,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23285,c_1053]) ).
tcf(c_25848,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_24109,c_1053]) ).
tcf(c_25852,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_915,c_1053]) ).
tcf(c_25854,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_1128,c_1053]) ).
tcf(c_25857,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6607,c_1053]) ).
tcf(c_25858,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21364,c_1053]) ).
tcf(c_25860,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22325,c_1053]) ).
tcf(c_25861,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23285,c_1053]) ).
tcf(c_25862,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_24109,c_1053]) ).
tcf(c_25864,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_1053,c_12548]) ).
tcf(c_25865,plain,
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_25858,c_10643]) ).
tcf(c_25866,plain,
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(light_normalisation,[status(thm)],[c_25854,c_902]) ).
tcf(c_25883,plain,
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(light_normalisation,[status(thm)],[c_25862,c_24387]) ).
tcf(c_25887,plain,
! [X0: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(light_normalisation,[status(thm)],[c_25864,c_902]) ).
tcf(c_25888,plain,
( ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(light_normalisation,[status(thm)],[c_25887,c_902]) ).
tcf(c_25899,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_1129,c_1054]) ).
tcf(c_25902,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23283,c_1054]) ).
tcf(c_25904,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21402,c_1054]) ).
tcf(c_25905,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21443,c_1054]) ).
tcf(c_25907,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_24109,c_1054]) ).
tcf(c_25913,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_1129,c_1054]) ).
tcf(c_25916,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23283,c_1054]) ).
tcf(c_25918,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21402,c_1054]) ).
tcf(c_25919,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21443,c_1054]) ).
tcf(c_25921,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_24109,c_1054]) ).
tcf(c_25923,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_1054,c_12548]) ).
tcf(c_25948,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_915,c_1170]) ).
tcf(c_25951,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1128,c_1170]) ).
tcf(c_25954,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6607,c_1170]) ).
tcf(c_25955,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23283,c_1170]) ).
tcf(c_25956,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21364,c_1170]) ).
tcf(c_25958,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21402,c_1170]) ).
tcf(c_25960,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22325,c_1170]) ).
tcf(c_25961,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23285,c_1170]) ).
tcf(c_25963,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_24387,c_1170]) ).
tcf(c_25964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_1170,c_1265]) ).
tcf(c_25965,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X2,X1,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
inference(superposition,[status(thm)],[c_1170,c_1182]) ).
tcf(c_25966,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1170,c_12548]) ).
tcf(c_25967,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1170,c_24184]) ).
tcf(c_25968,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25956,c_964]) ).
tcf(c_25971,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25951,c_1131]) ).
tcf(c_25975,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25960,c_964]) ).
tcf(c_25978,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25958,c_964]) ).
tcf(c_25981,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25948,c_1131]) ).
tcf(c_25984,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25967,c_964]) ).
tcf(c_25993,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25961,c_964]) ).
tcf(c_25996,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25954,c_964]) ).
tcf(c_25999,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25966,c_1131]) ).
tcf(c_26024,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6701,c_25744]) ).
tcf(c_26026,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22588,c_25744]) ).
tcf(c_26027,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22903,c_25744]) ).
tcf(c_26028,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21469,c_25744]) ).
tcf(c_26029,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22768,c_25744]) ).
tcf(c_26030,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22953,c_25744]) ).
tcf(c_26031,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6701,c_25744]) ).
tcf(c_26033,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22588,c_25744]) ).
tcf(c_26034,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22903,c_25744]) ).
tcf(c_26035,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21469,c_25744]) ).
tcf(c_26036,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22768,c_25744]) ).
tcf(c_26037,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22953,c_25744]) ).
tcf(c_26045,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_26031,c_6701]) ).
tcf(c_26056,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1264,c_25968]) ).
tcf(c_26061,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23377,c_25968]) ).
tcf(c_26062,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24227,c_25968]) ).
tcf(c_26064,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24549,c_25968]) ).
tcf(c_26068,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_26064,c_21975]) ).
tcf(c_26077,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1264,c_25971]) ).
tcf(c_26081,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24525,c_25971]) ).
tcf(c_26082,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X0,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24615,c_25971]) ).
tcf(c_26110,plain,
! [X0: $i] :
( ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26081,c_12548]) ).
tcf(c_26119,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_25380]) ).
tcf(c_26120,plain,
! [X0: $i] : c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21455,c_25380]) ).
tcf(c_26122,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25368,c_25380]) ).
tcf(c_26124,plain,
! [X0: $i,X1: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0,
inference(superposition,[status(thm)],[c_25380,c_22588]) ).
tcf(c_26126,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1,
inference(superposition,[status(thm)],[c_25380,c_25358]) ).
tcf(c_26127,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25380,c_22336]) ).
tcf(c_26142,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21975,c_25393]) ).
tcf(c_26143,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_25393]) ).
tcf(c_26144,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21455,c_25393]) ).
tcf(c_26145,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21461,c_25393]) ).
tcf(c_26146,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25368,c_25393]) ).
tcf(c_26151,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_26143,c_6552]) ).
tcf(c_26152,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_26151,c_6543]) ).
tcf(c_26164,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),X1,tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_25413,c_25164]) ).
tcf(c_26165,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_25413,c_25065]) ).
tcf(c_26166,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_25413,c_21595]) ).
tcf(c_26168,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),X0,tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_25413,c_21592]) ).
tcf(c_26169,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X0,tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_25413,c_987]) ).
tcf(c_26192,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_25470,c_25164]) ).
tcf(c_26193,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_25470,c_25065]) ).
tcf(c_26196,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_25470,c_21592]) ).
tcf(c_26197,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_25470,c_987]) ).
tcf(c_26266,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7591,c_7632]) ).
tcf(c_26267,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7597,c_7632]) ).
tcf(c_26270,plain,
c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7614,c_7632]) ).
tcf(c_26283,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_915,c_1171]) ).
tcf(c_26295,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22325,c_1171]) ).
tcf(c_26299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_1171,c_1265]) ).
tcf(c_26300,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
inference(superposition,[status(thm)],[c_1171,c_1182]) ).
tcf(c_26301,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1171,c_12548]) ).
tcf(c_26302,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1171,c_24184]) ).
tcf(c_26303,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26295,c_964]) ).
tcf(c_26306,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26283,c_1131]) ).
tcf(c_26309,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26302,c_964]) ).
tcf(c_26315,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26301,c_1131]) ).
tcf(c_26328,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X0),X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(superposition,[status(thm)],[c_1054,c_1172]) ).
tcf(c_26329,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(superposition,[status(thm)],[c_1053,c_1172]) ).
tcf(c_26331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
| ~ class_Ring__and__Field_Ocomm__ring__1(X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) ),
inference(superposition,[status(thm)],[c_1266,c_1172]) ).
tcf(c_26333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) ),
inference(superposition,[status(thm)],[c_1171,c_1172]) ).
tcf(c_26334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X4,X3,X2),X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) ),
inference(superposition,[status(thm)],[c_1170,c_1172]) ).
tcf(c_26335,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1169,c_1172]) ).
tcf(c_26336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1168,c_1172]) ).
tcf(c_26338,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_21274,c_1172]) ).
tcf(c_26340,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_21292,c_1172]) ).
tcf(c_26343,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21441,c_1172]) ).
tcf(c_26345,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21972,c_1172]) ).
tcf(c_26346,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22227,c_1172]) ).
tcf(c_26347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22486,c_1172]) ).
tcf(c_26348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22492,c_1172]) ).
tcf(c_26349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22513,c_1172]) ).
tcf(c_26350,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22511,c_1172]) ).
tcf(c_26351,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22608,c_1172]) ).
tcf(c_26352,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22620,c_1172]) ).
tcf(c_26353,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22640,c_1172]) ).
tcf(c_26355,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23332,c_1172]) ).
tcf(c_26358,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23995,c_1172]) ).
tcf(c_26362,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24213,c_1172]) ).
tcf(c_26363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24215,c_1172]) ).
tcf(c_26364,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24224,c_1172]) ).
tcf(c_26365,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24284,c_1172]) ).
tcf(c_26366,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0),X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_24400,c_1172]) ).
tcf(c_26367,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24406,c_1172]) ).
tcf(c_26368,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24407,c_1172]) ).
tcf(c_26369,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24408,c_1172]) ).
tcf(c_26370,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24546,c_1172]) ).
tcf(c_26371,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24599,c_1172]) ).
tcf(c_26373,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_903,c_1172]) ).
tcf(c_26374,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_915,c_1172]) ).
tcf(c_26376,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1129,c_1172]) ).
tcf(c_26380,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6607,c_1172]) ).
tcf(c_26381,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23283,c_1172]) ).
tcf(c_26383,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21375,c_1172]) ).
tcf(c_26384,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21402,c_1172]) ).
tcf(c_26385,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21443,c_1172]) ).
tcf(c_26386,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22325,c_1172]) ).
tcf(c_26387,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23285,c_1172]) ).
tcf(c_26388,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_24109,c_1172]) ).
tcf(c_26390,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_26345,c_21980]) ).
tcf(c_26391,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26385,c_964]) ).
tcf(c_26394,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26373,c_1131]) ).
tcf(c_26397,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_26346,c_23535]) ).
tcf(c_26398,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_26343,c_22389]) ).
tcf(c_26399,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(light_normalisation,[status(thm)],[c_26340,c_920]) ).
tcf(c_26400,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_26338,c_1131]) ).
tcf(c_26409,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26386,c_964]) ).
tcf(c_26412,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26380,c_964]) ).
tcf(c_26415,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26374,c_1131]) ).
tcf(c_26418,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26368,c_1131]) ).
tcf(c_26424,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_26353,c_964]) ).
tcf(c_26425,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_26352,c_21980]) ).
tcf(c_26430,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_26355,c_10640]) ).
tcf(c_26431,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_26430,c_964]) ).
tcf(c_26432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_26351,c_22389]) ).
tcf(c_26433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_26432,c_964]) ).
tcf(c_26434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_26350,c_964]) ).
tcf(c_26435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_26349,c_964]) ).
tcf(c_26436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_26348,c_22389]) ).
tcf(c_26437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_26436,c_964]) ).
tcf(c_26438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_26347,c_964]) ).
tcf(c_26442,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26384,c_964]) ).
tcf(c_26445,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26371,c_1131]) ).
tcf(c_26448,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26370,c_964]) ).
tcf(c_26451,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26369,c_1131]) ).
tcf(c_26454,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26367,c_1131]) ).
tcf(c_26457,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_26364,c_21980]) ).
tcf(c_26458,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_26457,c_964]) ).
tcf(c_26459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_26363,c_964]) ).
tcf(c_26460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_26362,c_964]) ).
tcf(c_26497,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(superposition,[status(thm)],[c_1054,c_1173]) ).
tcf(c_26498,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(superposition,[status(thm)],[c_1053,c_1173]) ).
tcf(c_26500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
| ~ class_Ring__and__Field_Ocomm__ring__1(X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) ),
inference(superposition,[status(thm)],[c_1266,c_1173]) ).
tcf(c_26502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) ),
inference(superposition,[status(thm)],[c_1171,c_1173]) ).
tcf(c_26503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X4,X3,X2),X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) ),
inference(superposition,[status(thm)],[c_1170,c_1173]) ).
tcf(c_26504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1169,c_1173]) ).
tcf(c_26505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1168,c_1173]) ).
tcf(c_26507,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_21274,c_1173]) ).
tcf(c_26509,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_21292,c_1173]) ).
tcf(c_26512,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21441,c_1173]) ).
tcf(c_26514,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21972,c_1173]) ).
tcf(c_26515,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22227,c_1173]) ).
tcf(c_26516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22486,c_1173]) ).
tcf(c_26517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22492,c_1173]) ).
tcf(c_26518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22513,c_1173]) ).
tcf(c_26519,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22511,c_1173]) ).
tcf(c_26520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22608,c_1173]) ).
tcf(c_26521,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22620,c_1173]) ).
tcf(c_26522,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22640,c_1173]) ).
tcf(c_26524,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23332,c_1173]) ).
tcf(c_26531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24213,c_1173]) ).
tcf(c_26532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24215,c_1173]) ).
tcf(c_26533,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24224,c_1173]) ).
tcf(c_26535,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0),X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_24400,c_1173]) ).
tcf(c_26536,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24406,c_1173]) ).
tcf(c_26537,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24407,c_1173]) ).
tcf(c_26538,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24408,c_1173]) ).
tcf(c_26539,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24546,c_1173]) ).
tcf(c_26540,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24599,c_1173]) ).
tcf(c_26543,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_915,c_1173]) ).
tcf(c_26555,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22325,c_1173]) ).
tcf(c_26562,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X2,tc_nat),tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_26509,c_1131]) ).
tcf(c_26563,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_26507,c_1131]) ).
tcf(c_26571,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26555,c_964]) ).
tcf(c_26574,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26543,c_1131]) ).
tcf(c_26577,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26537,c_1131]) ).
tcf(c_26583,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_26522,c_964]) ).
tcf(c_26591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_26520,c_964]) ).
tcf(c_26592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_26519,c_964]) ).
tcf(c_26593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_26518,c_964]) ).
tcf(c_26594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_26517,c_964]) ).
tcf(c_26595,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_26516,c_964]) ).
tcf(c_26596,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26540,c_1131]) ).
tcf(c_26599,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26539,c_964]) ).
tcf(c_26602,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26538,c_1131]) ).
tcf(c_26605,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26536,c_1131]) ).
tcf(c_26610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_26532,c_964]) ).
tcf(c_26611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_26531,c_964]) ).
tcf(c_26691,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),
inference(superposition,[status(thm)],[c_1258,c_1259]) ).
tcf(c_26693,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))),tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(superposition,[status(thm)],[c_1256,c_1259]) ).
tcf(c_26703,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1266,c_26391]) ).
tcf(c_26705,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1171,c_26391]) ).
tcf(c_26706,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1170,c_26391]) ).
tcf(c_26707,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1169,c_26391]) ).
tcf(c_26708,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1168,c_26391]) ).
tcf(c_26713,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21972,c_26391]) ).
tcf(c_26715,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22486,c_26391]) ).
tcf(c_26716,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22492,c_26391]) ).
tcf(c_26717,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22513,c_26391]) ).
tcf(c_26718,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22511,c_26391]) ).
tcf(c_26719,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22608,c_26391]) ).
tcf(c_26720,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22620,c_26391]) ).
tcf(c_26721,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22640,c_26391]) ).
tcf(c_26722,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23332,c_26391]) ).
tcf(c_26723,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24213,c_26391]) ).
tcf(c_26724,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24215,c_26391]) ).
tcf(c_26725,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24224,c_26391]) ).
tcf(c_26726,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24400,c_26391]) ).
tcf(c_26727,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24546,c_26391]) ).
tcf(c_26736,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_26726,c_21455]) ).
tcf(c_26741,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26706,c_964]) ).
tcf(c_26744,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26705,c_964]) ).
tcf(c_26757,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_1266,c_26394]) ).
tcf(c_26759,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_1171,c_26394]) ).
tcf(c_26760,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_1170,c_26394]) ).
tcf(c_26764,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21274,c_26394]) ).
tcf(c_26766,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21292,c_26394]) ).
tcf(c_26768,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24406,c_26394]) ).
tcf(c_26769,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24407,c_26394]) ).
tcf(c_26770,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24408,c_26394]) ).
tcf(c_26771,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24599,c_26394]) ).
tcf(c_26783,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26760,c_1131]) ).
tcf(c_26786,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26759,c_1131]) ).
tcf(c_26808,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_915,c_26400]) ).
tcf(c_26811,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_902,c_26400]) ).
tcf(c_26815,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1129,c_26400]) ).
tcf(c_26817,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),X2,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26400,c_1265]) ).
tcf(c_26818,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26400,c_1182]) ).
tcf(c_26819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),X3,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26400,c_1173]) ).
tcf(c_26820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X3,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26400,c_1172]) ).
tcf(c_26821,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_26400,c_12548]) ).
tcf(c_26822,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_26400,c_26394]) ).
tcf(c_26824,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_26808,c_920]) ).
tcf(c_26825,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_26818,c_1131]) ).
tcf(c_26828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X3,tc_nat),tc_nat),tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_26820,c_1131]) ).
tcf(c_26829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),X3,tc_nat),tc_nat),tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_26819,c_1131]) ).
tcf(c_26846,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26563,c_1265]) ).
tcf(c_26847,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26563,c_1182]) ).
tcf(c_26848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X0,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26563,c_1173]) ).
tcf(c_26849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26563,c_1172]) ).
tcf(c_26850,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_26563,c_12548]) ).
tcf(c_26851,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_26563,c_26394]) ).
tcf(c_26852,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_26847,c_1131]) ).
tcf(c_26855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),tc_nat),tc_nat),tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_26849,c_1131]) ).
tcf(c_26856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_26848,c_1131]) ).
tcf(c_26904,plain,
! [X0: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26769,c_12548]) ).
tcf(c_26917,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7650,c_7562]) ).
tcf(c_26919,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7650,c_7568]) ).
tcf(c_26920,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X1,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7650,c_7603]) ).
tcf(c_26921,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7650,c_7609]) ).
tcf(c_26923,plain,
! [X0: $i] : c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7650,c_7626]) ).
tcf(c_26924,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0,
inference(light_normalisation,[status(thm)],[c_26923,c_7626]) ).
tcf(c_26927,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(light_normalisation,[status(thm)],[c_26919,c_7568]) ).
tcf(c_26928,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(light_normalisation,[status(thm)],[c_26917,c_7562]) ).
tcf(c_26936,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),X0,tc_Polynomial_Opoly(tc_nat)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),
inference(superposition,[status(thm)],[c_1258,c_1260]) ).
tcf(c_26938,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))),X1,tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(superposition,[status(thm)],[c_1256,c_1260]) ).
tcf(c_26948,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)),c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = X2 )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(superposition,[status(thm)],[c_1009,c_1273]) ).
tcf(c_26956,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(X0)) )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(superposition,[status(thm)],[c_1009,c_1279]) ).
tcf(c_26965,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_26924,c_7609]) ).
tcf(c_26966,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_26924,c_7603]) ).
tcf(c_26980,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_25496,c_25164]) ).
tcf(c_26981,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_25496,c_25065]) ).
tcf(c_26982,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_25496,c_21595]) ).
tcf(c_26984,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_25496,c_21592]) ).
tcf(c_26985,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_25496,c_987]) ).
tcf(c_26998,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21975,c_25557]) ).
tcf(c_26999,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_25557]) ).
tcf(c_27000,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21455,c_25557]) ).
tcf(c_27001,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21461,c_25557]) ).
tcf(c_27002,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25368,c_25557]) ).
tcf(c_27015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_25577]) ).
tcf(c_27016,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21455,c_25577]) ).
tcf(c_27018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25368,c_25577]) ).
tcf(c_27024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6406,c_25577]) ).
tcf(c_27025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_25577]) ).
tcf(c_27026,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6492,c_25577]) ).
tcf(c_27027,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_25577]) ).
tcf(c_27028,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6619,c_25577]) ).
tcf(c_27031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6683,c_25577]) ).
tcf(c_27032,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_25577]) ).
tcf(c_27040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_27024,c_21980]) ).
tcf(c_27059,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ominus__class_Ominus(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_25685]) ).
tcf(c_27063,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25685,c_25744]) ).
tcf(c_27064,plain,
! [X0: $i,X1: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25685,c_25368]) ).
tcf(c_27066,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = X0,
inference(superposition,[status(thm)],[c_25685,c_22588]) ).
tcf(c_27067,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25685,c_22903]) ).
tcf(c_27068,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25685,c_25744]) ).
tcf(c_27070,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = X1,
inference(superposition,[status(thm)],[c_25685,c_22768]) ).
tcf(c_27079,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6613,c_25686]) ).
tcf(c_27081,plain,
! [X0: $i] : c_HOL_Ominus__class_Ominus(X0,X0,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21386,c_25686]) ).
tcf(c_27082,plain,
! [X0: $i,X1: $i] : c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25380,c_25686]) ).
tcf(c_27086,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25686,c_25744]) ).
tcf(c_27087,plain,
! [X0: $i,X1: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25686,c_25368]) ).
tcf(c_27088,plain,
! [X0: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25686,c_22903]) ).
tcf(c_27089,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25686,c_25744]) ).
tcf(c_27090,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0,
inference(superposition,[status(thm)],[c_25686,c_22947]) ).
tcf(c_27112,plain,
! [X0: $i] : c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_26924,c_7656]) ).
tcf(c_27113,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7656,c_7562]) ).
tcf(c_27115,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7656,c_7568]) ).
tcf(c_27117,plain,
! [X0: $i] : c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7656,c_7626]) ).
tcf(c_27119,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0,
inference(light_normalisation,[status(thm)],[c_27117,c_7626]) ).
tcf(c_27120,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(light_normalisation,[status(thm)],[c_27115,c_7568]) ).
tcf(c_27121,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(light_normalisation,[status(thm)],[c_27113,c_7562]) ).
tcf(c_27127,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1,
inference(superposition,[status(thm)],[c_1269,c_1295]) ).
tcf(c_27128,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)),X2,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = X2 )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(superposition,[status(thm)],[c_1009,c_1295]) ).
tcf(c_27137,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Ominus__class_Ominus(X1,X2,tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
inference(superposition,[status(thm)],[c_1261,c_1360]) ).
tcf(c_27175,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)) = c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
inference(superposition,[status(thm)],[c_1261,c_1361]) ).
tcf(c_27182,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_993,c_912]) ).
tcf(c_27183,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_993,c_912]) ).
tcf(c_27185,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_903,c_912]) ).
tcf(c_27186,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_915,c_912]) ).
tcf(c_27188,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1129,c_912]) ).
tcf(c_27190,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_902,c_912]) ).
tcf(c_27191,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_903,c_912]) ).
tcf(c_27192,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_915,c_912]) ).
tcf(c_27194,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1129,c_912]) ).
tcf(c_27216,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6613,c_25699]) ).
tcf(c_27219,plain,
! [X0: $i,X1: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25380,c_25699]) ).
tcf(c_27223,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25699,c_25744]) ).
tcf(c_27224,plain,
! [X0: $i,X1: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25699,c_25368]) ).
tcf(c_27225,plain,
! [X0: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25699,c_22903]) ).
tcf(c_27226,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25699,c_25744]) ).
tcf(c_27227,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1,
inference(superposition,[status(thm)],[c_25699,c_22947]) ).
tcf(c_27235,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6701,c_25703]) ).
tcf(c_27239,plain,
! [X0: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22903,c_25703]) ).
tcf(c_27243,plain,
! [X0: $i,X1: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25699,c_25703]) ).
tcf(c_27246,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25703,c_25744]) ).
tcf(c_27248,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25703,c_25685]) ).
tcf(c_27250,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25703,c_25744]) ).
tcf(c_27254,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_27248,c_27064]) ).
tcf(c_27273,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25975,c_1265]) ).
tcf(c_27274,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25975,c_1182]) ).
tcf(c_27275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25975,c_1173]) ).
tcf(c_27276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25975,c_1172]) ).
tcf(c_27279,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27274,c_964]) ).
tcf(c_27283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27276,c_964]) ).
tcf(c_27286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27275,c_964]) ).
tcf(c_27294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6406,c_25978]) ).
tcf(c_27295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6415,c_25978]) ).
tcf(c_27297,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6648,c_25978]) ).
tcf(c_27298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6619,c_25978]) ).
tcf(c_27301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6683,c_25978]) ).
tcf(c_27305,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25978,c_1265]) ).
tcf(c_27306,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25978,c_1182]) ).
tcf(c_27307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25978,c_1173]) ).
tcf(c_27308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25978,c_1172]) ).
tcf(c_27309,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25978,c_26391]) ).
tcf(c_27310,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25978,c_24184]) ).
tcf(c_27317,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27306,c_964]) ).
tcf(c_27321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27308,c_964]) ).
tcf(c_27324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27307,c_964]) ).
tcf(c_27372,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_25981,c_1265]) ).
tcf(c_27373,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_25981,c_1182]) ).
tcf(c_27374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_25981,c_1173]) ).
tcf(c_27375,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_25981,c_1172]) ).
tcf(c_27378,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27373,c_1131]) ).
tcf(c_27384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27375,c_1131]) ).
tcf(c_27387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27374,c_1131]) ).
tcf(c_27395,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6543,c_26062]) ).
tcf(c_27396,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21455,c_26062]) ).
tcf(c_27397,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21461,c_26062]) ).
tcf(c_27398,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25368,c_26062]) ).
tcf(c_27400,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26062,c_1265]) ).
tcf(c_27435,plain,
! [X0: $i] :
( ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26082,c_12548]) ).
tcf(c_27445,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(X2,c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_26127]) ).
tcf(c_27446,plain,
! [X0: $i] : c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21455,c_26127]) ).
tcf(c_27447,plain,
! [X0: $i,X1: $i] : c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21461,c_26127]) ).
tcf(c_27448,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25368,c_26127]) ).
tcf(c_27454,plain,
! [X0: $i,X1: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26127,c_25380]) ).
tcf(c_27457,plain,
! [X0: $i,X1: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = X0,
inference(superposition,[status(thm)],[c_26127,c_22947]) ).
tcf(c_27468,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_27119,c_7661]) ).
tcf(c_27469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7562,c_7661]) ).
tcf(c_27470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7568,c_7661]) ).
tcf(c_27471,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7574,c_7661]) ).
tcf(c_27472,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7580,c_7661]) ).
tcf(c_27473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7591,c_7661]) ).
tcf(c_27474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7597,c_7661]) ).
tcf(c_27475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7603,c_7661]) ).
tcf(c_27476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7609,c_7661]) ).
tcf(c_27477,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7614,c_7661]) ).
tcf(c_27478,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7620,c_7661]) ).
tcf(c_27479,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7650,c_7661]) ).
tcf(c_27480,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7656,c_7661]) ).
tcf(c_27482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7661,c_7562]) ).
tcf(c_27483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7661,c_7661]) ).
tcf(c_27484,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7661,c_7632]) ).
tcf(c_27485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7661,c_7568]) ).
tcf(c_27486,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7661,c_7603]) ).
tcf(c_27487,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7661,c_7609]) ).
tcf(c_27488,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7661,c_7614]) ).
tcf(c_27489,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7661,c_7626]) ).
tcf(c_27490,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7661,c_7656]) ).
tcf(c_27494,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(light_normalisation,[status(thm)],[c_27489,c_7626]) ).
tcf(c_27498,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(light_normalisation,[status(thm)],[c_27480,c_7661]) ).
tcf(c_27499,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(light_normalisation,[status(thm)],[c_27479,c_7661]) ).
tcf(c_27540,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_993,c_913]) ).
tcf(c_27541,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_993,c_913]) ).
tcf(c_27542,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_902,c_913]) ).
tcf(c_27547,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1128,c_913]) ).
tcf(c_27548,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_902,c_913]) ).
tcf(c_27549,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_903,c_913]) ).
tcf(c_27553,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_1128,c_913]) ).
tcf(c_27575,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_902,c_920]) ).
tcf(c_27576,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_903,c_920]) ).
tcf(c_27577,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_915,c_920]) ).
tcf(c_27580,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),
inference(superposition,[status(thm)],[c_1129,c_920]) ).
tcf(c_27581,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),
inference(superposition,[status(thm)],[c_1128,c_920]) ).
tcf(c_27582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_1173]) ).
tcf(c_27583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X3,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_1172]) ).
tcf(c_27585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_1170]) ).
tcf(c_27586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_25981]) ).
tcf(c_27589,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),X3,tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_920]) ).
tcf(c_27590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X3,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_913]) ).
tcf(c_27591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_912]) ).
tcf(c_27592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X2,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X3,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_924]) ).
tcf(c_27593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_923]) ).
tcf(c_27594,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_920,c_1127]) ).
tcf(c_27595,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oone__class_Oone(tc_nat) = X2 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_920,c_1126]) ).
tcf(c_27596,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_910]) ).
tcf(c_27597,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_909]) ).
tcf(c_27598,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_920,c_7469]) ).
tcf(c_27600,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_21292]) ).
tcf(c_27602,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_913]) ).
tcf(c_27603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_26400]) ).
tcf(c_27604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X2,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_924]) ).
tcf(c_27605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_912]) ).
tcf(c_27606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_923]) ).
tcf(c_27607,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_1054]) ).
tcf(c_27608,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_1054]) ).
tcf(c_27610,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_915]) ).
tcf(c_27611,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),
inference(superposition,[status(thm)],[c_920,c_1128]) ).
tcf(c_27612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_1171]) ).
tcf(c_27628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27585,c_1131]) ).
tcf(c_27631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),X3,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27582,c_1131]) ).
tcf(c_27645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X2,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),tc_nat) ),
inference(light_normalisation,[status(thm)],[c_27604,c_920]) ).
tcf(c_27652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),X3,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27583,c_1131]) ).
tcf(c_27655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),tc_nat) ),
inference(light_normalisation,[status(thm)],[c_27602,c_920]) ).
tcf(c_27714,plain,
( c_Ring__and__Field_Odvd__class_Odvd(v_r____,c_HOL_Otimes__class_Otimes(v_s____,v_u____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),tc_nat) ),
inference(superposition,[status(thm)],[c_970,c_947]) ).
tcf(c_27717,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_21576,c_947]) ).
tcf(c_27718,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_21577,c_947]) ).
tcf(c_27719,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_22161,c_947]) ).
tcf(c_27720,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_22162,c_947]) ).
tcf(c_27721,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1),X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_1265]) ).
tcf(c_27722,plain,
! [X0: $i,X1: $i] :
( ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_1182]) ).
tcf(c_27723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X3,X2,X1),X0,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_1173]) ).
tcf(c_27724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X2,X3,X1),X0,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_1172]) ).
tcf(c_27725,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_Power_Opower__class_Opower(X1,X0,tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_12548]) ).
tcf(c_27726,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_26394]) ).
tcf(c_27727,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_26391]) ).
tcf(c_27728,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_24184]) ).
tcf(c_27729,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27720,c_21174]) ).
tcf(c_27732,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27719,c_21174]) ).
tcf(c_27735,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27727,c_964]) ).
tcf(c_27738,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27726,c_1131]) ).
tcf(c_27741,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27728,c_964]) ).
tcf(c_27753,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_Power_Opower__class_Opower(X1,X0,tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27725,c_1131]) ).
tcf(c_27820,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_997,c_998]) ).
tcf(c_27824,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),
inference(superposition,[status(thm)],[c_996,c_998]) ).
tcf(c_27825,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),
inference(superposition,[status(thm)],[c_994,c_998]) ).
tcf(c_27876,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_998,c_25496]) ).
tcf(c_27877,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_998,c_25114]) ).
tcf(c_27880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_998,c_972]) ).
tcf(c_27881,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_998,c_1007]) ).
tcf(c_27882,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_998,c_1006]) ).
tcf(c_27883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_998,c_21592]) ).
tcf(c_27884,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != X1 ) ),
inference(superposition,[status(thm)],[c_998,c_1005]) ).
tcf(c_27885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X1,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_998,c_987]) ).
tcf(c_27888,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_975]) ).
tcf(c_27891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_998,c_973]) ).
tcf(c_27892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_998,c_991]) ).
tcf(c_27894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_21613]) ).
tcf(c_27895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_998,c_1003]) ).
tcf(c_27896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X0,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_998,c_971]) ).
tcf(c_27897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_998,c_990]) ).
tcf(c_27898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_998]) ).
tcf(c_27899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) = X3 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X1,X3,tc_nat) ) ),
inference(superposition,[status(thm)],[c_998,c_1002]) ).
tcf(c_27900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_998,c_973]) ).
tcf(c_27901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_998,c_972]) ).
tcf(c_27902,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_998,c_25470]) ).
tcf(c_27903,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_998,c_25413]) ).
tcf(c_27904,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_4713]) ).
tcf(c_27905,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_997]) ).
tcf(c_27906,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_21688]) ).
tcf(c_27907,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_998,c_21245]) ).
tcf(c_27909,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),
inference(superposition,[status(thm)],[c_998,c_21228]) ).
tcf(c_27910,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_21230]) ).
tcf(c_27913,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),
inference(superposition,[status(thm)],[c_998,c_994]) ).
tcf(c_27914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_998,c_971]) ).
tcf(c_27919,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_998,c_21888]) ).
tcf(c_27920,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_21695]) ).
tcf(c_28023,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_Polynomial_Opoly(tc_nat)),
inference(global_subsumption_just,[status(thm)],[c_27732,c_1131,c_1376,c_27732]) ).
tcf(c_28026,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_nat)),X0,tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_28023,c_1267]) ).
tcf(c_28027,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_28023,c_1265]) ).
tcf(c_28029,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_28023,c_1173]) ).
tcf(c_28030,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_28023,c_1172]) ).
tcf(c_28042,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21975,c_26145]) ).
tcf(c_28043,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_26145]) ).
tcf(c_28047,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6432,c_26145]) ).
tcf(c_28048,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6552,c_26145]) ).
tcf(c_28049,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6559,c_26145]) ).
tcf(c_28050,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21346,c_26145]) ).
tcf(c_28051,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21975,c_26145]) ).
tcf(c_28055,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_28047,c_21975]) ).
tcf(c_28057,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_28048,c_6543]) ).
tcf(c_28076,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26303,c_1265]) ).
tcf(c_28077,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26303,c_1182]) ).
tcf(c_28078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26303,c_1173]) ).
tcf(c_28079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26303,c_1172]) ).
tcf(c_28082,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28077,c_964]) ).
tcf(c_28086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28079,c_964]) ).
tcf(c_28089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28078,c_964]) ).
tcf(c_28103,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_26306,c_1265]) ).
tcf(c_28104,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_26306,c_1182]) ).
tcf(c_28105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_26306,c_1173]) ).
tcf(c_28106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_26306,c_1172]) ).
tcf(c_28109,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28104,c_1131]) ).
tcf(c_28115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28106,c_1131]) ).
tcf(c_28118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28105,c_1131]) ).
tcf(c_28126,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1053,c_26409]) ).
tcf(c_28128,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1266,c_26409]) ).
tcf(c_28130,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_26409]) ).
tcf(c_28146,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22620,c_26409]) ).
tcf(c_28149,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23332,c_26409]) ).
tcf(c_28153,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24002,c_26409]) ).
tcf(c_28158,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24224,c_26409]) ).
tcf(c_28160,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24400,c_26409]) ).
tcf(c_28169,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21364,c_26409]) ).
tcf(c_28174,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23285,c_26409]) ).
tcf(c_28178,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_28160,c_23534]) ).
tcf(c_28181,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28130,c_964]) ).
tcf(c_28226,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1266,c_26412]) ).
tcf(c_28228,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_26412]) ).
tcf(c_28229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1171,c_26412]) ).
tcf(c_28230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1170,c_26412]) ).
tcf(c_28241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22486,c_26412]) ).
tcf(c_28242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22492,c_26412]) ).
tcf(c_28243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22513,c_26412]) ).
tcf(c_28244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22511,c_26412]) ).
tcf(c_28245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22608,c_26412]) ).
tcf(c_28246,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22620,c_26412]) ).
tcf(c_28247,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22640,c_26412]) ).
tcf(c_28248,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23332,c_26412]) ).
tcf(c_28249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24213,c_26412]) ).
tcf(c_28250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24215,c_26412]) ).
tcf(c_28251,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24224,c_26412]) ).
tcf(c_28252,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24400,c_26412]) ).
tcf(c_28253,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25978,c_26412]) ).
tcf(c_28254,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24546,c_26412]) ).
tcf(c_28255,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25975,c_26412]) ).
tcf(c_28256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26303,c_26412]) ).
tcf(c_28257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6406,c_26412]) ).
tcf(c_28258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6415,c_26412]) ).
tcf(c_28260,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6648,c_26412]) ).
tcf(c_28261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6619,c_26412]) ).
tcf(c_28264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6683,c_26412]) ).
tcf(c_28269,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_28248,c_6552]) ).
tcf(c_28278,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_28252,c_6543]) ).
tcf(c_28279,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_28251,c_6543]) ).
tcf(c_28287,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28228,c_964]) ).
tcf(c_28319,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_1053,c_26415]) ).
tcf(c_28321,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_1266,c_26415]) ).
tcf(c_28323,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),X0,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_26415]) ).
tcf(c_28348,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1128,c_26415]) ).
tcf(c_28354,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),X0,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28323,c_1131]) ).
tcf(c_28364,plain,
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_902,c_26418]) ).
tcf(c_28368,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_26418]) ).
tcf(c_28369,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_1129,c_26418]) ).
tcf(c_28372,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),X1,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26418,c_1265]) ).
tcf(c_28373,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26418,c_1182]) ).
tcf(c_28375,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26418,c_1172]) ).
tcf(c_28376,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26418,c_12548]) ).
tcf(c_28377,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26418,c_26394]) ).
tcf(c_28378,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X2,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26418,c_26415]) ).
tcf(c_28391,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(light_normalisation,[status(thm)],[c_28375,c_27577]) ).
tcf(c_28392,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28391,c_1131]) ).
tcf(c_28407,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_26924,c_7667]) ).
tcf(c_28408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7562,c_7667]) ).
tcf(c_28409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7568,c_7667]) ).
tcf(c_28410,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7574,c_7667]) ).
tcf(c_28411,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7580,c_7667]) ).
tcf(c_28412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7591,c_7667]) ).
tcf(c_28413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7597,c_7667]) ).
tcf(c_28414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X1,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7603,c_7667]) ).
tcf(c_28415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7609,c_7667]) ).
tcf(c_28416,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7614,c_7667]) ).
tcf(c_28417,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7620,c_7667]) ).
tcf(c_28418,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7650,c_7667]) ).
tcf(c_28419,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7656,c_7667]) ).
tcf(c_28420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7661,c_7667]) ).
tcf(c_28421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7667,c_7667]) ).
tcf(c_28423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7667,c_7562]) ).
tcf(c_28424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7667,c_7661]) ).
tcf(c_28426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7667,c_7568]) ).
tcf(c_28428,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7667,c_7626]) ).
tcf(c_28429,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7667,c_7650]) ).
tcf(c_28430,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7667,c_7661]) ).
tcf(c_28438,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(light_normalisation,[status(thm)],[c_28419,c_7667]) ).
tcf(c_28439,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(light_normalisation,[status(thm)],[c_28418,c_7667]) ).
tcf(c_28440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(light_normalisation,[status(thm)],[c_28415,c_7667]) ).
tcf(c_28498,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_997,c_999]) ).
tcf(c_28501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X3,tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_999]) ).
tcf(c_28505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X3,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_999]) ).
tcf(c_28506,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_999,c_25496]) ).
tcf(c_28507,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_999,c_25114]) ).
tcf(c_28510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X2,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X3,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_999,c_972]) ).
tcf(c_28511,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_999,c_1007]) ).
tcf(c_28512,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X2 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_999,c_1006]) ).
tcf(c_28513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X2,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_999,c_21592]) ).
tcf(c_28514,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X2 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_999,c_1005]) ).
tcf(c_28515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_999,c_987]) ).
tcf(c_28516,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_4714]) ).
tcf(c_28519,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_974]) ).
tcf(c_28521,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_999,c_973]) ).
tcf(c_28522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_999,c_991]) ).
tcf(c_28523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_21615]) ).
tcf(c_28525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X3 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X3,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_999,c_1003]) ).
tcf(c_28526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_999,c_971]) ).
tcf(c_28527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_999,c_990]) ).
tcf(c_28528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_998]) ).
tcf(c_28529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_999,c_1002]) ).
tcf(c_28530,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_999,c_973]) ).
tcf(c_28531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X2,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_999,c_972]) ).
tcf(c_28532,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_999,c_25470]) ).
tcf(c_28533,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_999,c_25413]) ).
tcf(c_28536,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_21692]) ).
tcf(c_28537,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_999,c_1090]) ).
tcf(c_28538,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),
inference(superposition,[status(thm)],[c_999,c_1110]) ).
tcf(c_28540,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_1108]) ).
tcf(c_28544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_998]) ).
tcf(c_28545,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),
inference(superposition,[status(thm)],[c_999,c_996]) ).
tcf(c_28546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X0,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_999,c_971]) ).
tcf(c_28547,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_999,c_1100]) ).
tcf(c_28549,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_999,c_1099]) ).
tcf(c_28551,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_21662]) ).
tcf(c_28552,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_21655]) ).
tcf(c_28554,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_21659]) ).
tcf(c_28585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X1,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat) ),
inference(light_normalisation,[status(thm)],[c_28531,c_27905]) ).
tcf(c_28590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_28529,c_27905]) ).
tcf(c_28785,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex) )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6701,c_1020]) ).
tcf(c_28787,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) = X1 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != X0 ) ),
inference(superposition,[status(thm)],[c_22588,c_1020]) ).
tcf(c_28788,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_25685,c_1020]) ).
tcf(c_28789,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22903,c_1020]) ).
tcf(c_28791,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex) = X1 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != X0 ) ),
inference(superposition,[status(thm)],[c_22768,c_1020]) ).
tcf(c_28792,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex) = X1 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_25686,c_1020]) ).
tcf(c_28793,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) = X1 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_25699,c_1020]) ).
tcf(c_28794,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex) = X1 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_25703,c_1020]) ).
tcf(c_28795,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28791,c_1011]) ).
tcf(c_28798,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28789,c_1011]) ).
tcf(c_28801,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28787,c_1011]) ).
tcf(c_28804,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28794,c_1011]) ).
tcf(c_28807,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28793,c_1011]) ).
tcf(c_28810,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28792,c_1011]) ).
tcf(c_28813,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28788,c_1011]) ).
tcf(c_28816,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28785,c_1011]) ).
tcf(c_28843,plain,
! [X0: $i] : c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_nat) = c_Polynomial_Omonom(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1031,c_1043]) ).
tcf(c_28844,plain,
! [X0: $i] : c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) = c_Polynomial_Omonom(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1030,c_1043]) ).
tcf(c_28845,plain,
! [X0: $i,X1: $i] :
( ( c_Polynomial_OpCons(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))),tc_Polynomial_Opoly(X0)) = c_Polynomial_Omonom(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_Polynomial_Opoly(X0)) )
| ~ class_HOL_Ozero(X0) ),
inference(superposition,[status(thm)],[c_1029,c_1043]) ).
tcf(c_28848,plain,
! [X0: $i] : c_Polynomial_Odegree(c_Polynomial_Omonom(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(demodulation,[status(thm)],[c_24825,c_28843]) ).
tcf(c_28849,plain,
c_Polynomial_Omonom(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),
inference(demodulation,[status(thm)],[c_25824,c_28843]) ).
tcf(c_28850,plain,
! [X0: $i] : c_Polynomial_Odegree(c_Polynomial_Omonom(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(demodulation,[status(thm)],[c_24826,c_28844]) ).
tcf(c_28851,plain,
c_Polynomial_Omonom(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(demodulation,[status(thm)],[c_25825,c_28844]) ).
tcf(c_28863,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex) )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6701,c_1282]) ).
tcf(c_28865,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) = X1 )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != X0 ) ),
inference(superposition,[status(thm)],[c_22588,c_1282]) ).
tcf(c_28866,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = X0 )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_25685,c_1282]) ).
tcf(c_28867,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22903,c_1282]) ).
tcf(c_28869,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex) = X1 )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != X0 ) ),
inference(superposition,[status(thm)],[c_22768,c_1282]) ).
tcf(c_28870,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex) = X1 )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_25686,c_1282]) ).
tcf(c_28871,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) = X1 )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_25699,c_1282]) ).
tcf(c_28872,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex) = X1 )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_25703,c_1282]) ).
tcf(c_28888,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1054,c_26571]) ).
tcf(c_28891,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1266,c_26571]) ).
tcf(c_28893,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_26571]) ).
tcf(c_28905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22492,c_26571]) ).
tcf(c_28908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22608,c_26571]) ).
tcf(c_28909,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22620,c_26571]) ).
tcf(c_28912,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23332,c_26571]) ).
tcf(c_28921,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24224,c_26571]) ).
tcf(c_28923,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24400,c_26571]) ).
tcf(c_28946,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28893,c_964]) ).
tcf(c_28953,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_1054,c_26574]) ).
tcf(c_28956,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_1266,c_26574]) ).
tcf(c_28958,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X0,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_26574]) ).
tcf(c_28975,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26418,c_26574]) ).
tcf(c_28991,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X0,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28958,c_1131]) ).
tcf(c_29008,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26577,c_1265]) ).
tcf(c_29009,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26577,c_1182]) ).
tcf(c_29012,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26577,c_12548]) ).
tcf(c_29013,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26577,c_26394]) ).
tcf(c_29015,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26577,c_26415]) ).
tcf(c_29028,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_26583,c_21980]) ).
tcf(c_29030,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),X0,tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_26691,c_1172]) ).
tcf(c_29031,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_26691,c_1168]) ).
tcf(c_29033,plain,
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_26691,c_1169]) ).
tcf(c_29034,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_26691,c_1054]) ).
tcf(c_29035,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_26691,c_1054]) ).
tcf(c_29036,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),X0,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_26691,c_1053]) ).
tcf(c_29037,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),X0,tc_Polynomial_Opoly(tc_nat)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_26691,c_1053]) ).
tcf(c_29041,plain,
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat)) ),
inference(light_normalisation,[status(thm)],[c_29037,c_26936]) ).
tcf(c_29049,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)),
inference(global_subsumption_just,[status(thm)],[c_29031,c_1131,c_1376,c_29031]) ).
tcf(c_29060,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6543,c_26727]) ).
tcf(c_29062,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21461,c_26727]) ).
tcf(c_29063,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25368,c_26727]) ).
tcf(c_29064,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26727,c_1267]) ).
tcf(c_29067,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26727,c_1173]) ).
tcf(c_29105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X4,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X5,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7562,c_7776]) ).
tcf(c_29106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X4,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X5,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7568,c_7776]) ).
tcf(c_29107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X4,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7574,c_7776]) ).
tcf(c_29108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X4,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7580,c_7776]) ).
tcf(c_29109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X4,c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X5,c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7591,c_7776]) ).
tcf(c_29110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X4,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X5,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7597,c_7776]) ).
tcf(c_29111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X5,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X4,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7603,c_7776]) ).
tcf(c_29112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X5,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X4,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7609,c_7776]) ).
tcf(c_29114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7620,c_7776]) ).
tcf(c_29115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != X3 )
| ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7626,c_7776]) ).
tcf(c_29116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X4,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7632,c_7776]) ).
tcf(c_29117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7644,c_7776]) ).
tcf(c_29118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,c_HOL_Oplus__class_Oplus(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X4,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7650,c_7776]) ).
tcf(c_29119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X4,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7656,c_7776]) ).
tcf(c_29120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X4,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X5,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7661,c_7776]) ).
tcf(c_29121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,c_HOL_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X4,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X5,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7667,c_7776]) ).
tcf(c_29122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X4,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X5,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7562,c_7776]) ).
tcf(c_29123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X4,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X5,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7568,c_7776]) ).
tcf(c_29124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X4,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7574,c_7776]) ).
tcf(c_29125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X1,X4,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7580,c_7776]) ).
tcf(c_29126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X4,c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X5,c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7591,c_7776]) ).
tcf(c_29127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X4,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X5,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7597,c_7776]) ).
tcf(c_29128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X5,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X4,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7603,c_7776]) ).
tcf(c_29129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X5,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X4,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7609,c_7776]) ).
tcf(c_29130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7614,c_7776]) ).
tcf(c_29131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7620,c_7776]) ).
tcf(c_29132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != X1 ) ),
inference(superposition,[status(thm)],[c_7626,c_7776]) ).
tcf(c_29133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X4,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7632,c_7776]) ).
tcf(c_29134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7644,c_7776]) ).
tcf(c_29135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X4,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7650,c_7776]) ).
tcf(c_29136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,c_HOL_Oplus__class_Oplus(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X4,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7656,c_7776]) ).
tcf(c_29137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X4,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X5,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7661,c_7776]) ).
tcf(c_29138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,c_HOL_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X4,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X5,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7667,c_7776]) ).
tcf(c_29139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(equality_resolution,[status(thm)],[c_7776]) ).
tcf(c_29145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(light_normalisation,[status(thm)],[c_29114,c_7574]) ).
tcf(c_29183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( X2 != X3 )
| ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(light_normalisation,[status(thm)],[c_29132,c_7626]) ).
tcf(c_29184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( X2 != X3 )
| ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != X1 ) ),
inference(light_normalisation,[status(thm)],[c_29183,c_7626]) ).
tcf(c_29185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(light_normalisation,[status(thm)],[c_29184,c_7626]) ).
tcf(c_29189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != X3 )
| ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != X1 ) ),
inference(light_normalisation,[status(thm)],[c_29115,c_7626]) ).
tcf(c_29190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( X2 != X3 )
| ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != X1 ) ),
inference(light_normalisation,[status(thm)],[c_29189,c_7626]) ).
tcf(c_29191,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(light_normalisation,[status(thm)],[c_29190,c_7626]) ).
tcf(c_29195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(ground_joinability,[status(thm)],[c_29130,c_7614]) ).
tcf(c_29353,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6543,c_1293]) ).
tcf(c_29355,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != X0 ) ),
inference(superposition,[status(thm)],[c_21461,c_1293]) ).
tcf(c_29357,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_25368,c_1293]) ).
tcf(c_29358,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29355,c_1269]) ).
tcf(c_29361,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29357,c_1269]) ).
tcf(c_29364,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29353,c_1269]) ).
tcf(c_29416,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = X2 )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6543,c_1294]) ).
tcf(c_29418,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = X0 )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) != X1 ) ),
inference(superposition,[status(thm)],[c_21461,c_1294]) ).
tcf(c_29419,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 )
| ~ class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_23752,c_1294]) ).
tcf(c_29420,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex) = X2 )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_25368,c_1294]) ).
tcf(c_29422,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) != X1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29418,c_1269]) ).
tcf(c_29425,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29420,c_1269]) ).
tcf(c_29431,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29416,c_1269]) ).
tcf(c_29442,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_1054,c_12552]) ).
tcf(c_29443,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_1053,c_12552]) ).
tcf(c_29445,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_1266,c_12552]) ).
tcf(c_29446,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_1264,c_12552]) ).
tcf(c_29448,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_Power_Opower__class_Opower(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_12552]) ).
tcf(c_29449,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_1171,c_12552]) ).
tcf(c_29450,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_1170,c_12552]) ).
tcf(c_29453,plain,
! [X0: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_24400,c_12552]) ).
tcf(c_29454,plain,
! [X0: $i] :
( ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_24521,c_12552]) ).
tcf(c_29476,plain,
! [X0: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(light_normalisation,[status(thm)],[c_29443,c_24387]) ).
tcf(c_29477,plain,
( ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(light_normalisation,[status(thm)],[c_29476,c_24387]) ).
tcf(c_29489,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7562,c_12564]) ).
tcf(c_29490,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7568,c_12564]) ).
tcf(c_29491,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7574,c_12564]) ).
tcf(c_29492,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7580,c_12564]) ).
tcf(c_29493,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7591,c_12564]) ).
tcf(c_29494,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7597,c_12564]) ).
tcf(c_29495,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7603,c_12564]) ).
tcf(c_29496,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7609,c_12564]) ).
tcf(c_29497,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7614,c_12564]) ).
tcf(c_29498,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7620,c_12564]) ).
tcf(c_29499,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != X0 ) ),
inference(superposition,[status(thm)],[c_7626,c_12564]) ).
tcf(c_29500,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7632,c_12564]) ).
tcf(c_29501,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_7644,c_12564]) ).
tcf(c_29502,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7650,c_12564]) ).
tcf(c_29503,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7656,c_12564]) ).
tcf(c_29504,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7661,c_12564]) ).
tcf(c_29505,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7667,c_12564]) ).
tcf(c_29572,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_29498,c_1267]) ).
tcf(c_29573,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_29498,c_1265]) ).
tcf(c_29625,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_24109,c_29491]) ).
tcf(c_29627,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_29491,c_1265]) ).
tcf(c_29629,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_29491,c_1173]) ).
tcf(c_29630,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_29491,c_1172]) ).
tcf(c_29642,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_29492,c_1265]) ).
tcf(c_29644,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_29492,c_1173]) ).
tcf(c_29645,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_29492,c_1172]) ).
tcf(c_29664,plain,
! [X0: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26771,c_12548]) ).
tcf(c_29681,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6432,c_27001]) ).
tcf(c_29682,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6552,c_27001]) ).
tcf(c_29683,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6559,c_27001]) ).
tcf(c_29684,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21346,c_27001]) ).
tcf(c_29685,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21975,c_27001]) ).
tcf(c_29686,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21975,c_27001]) ).
tcf(c_29687,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_27001]) ).
tcf(c_29693,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_29686,c_6432]) ).
tcf(c_29696,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_29687,c_6552]) ).
tcf(c_29700,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_27063,c_27243]) ).
tcf(c_29701,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6613,c_29700]) ).
tcf(c_29703,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21386,c_29700]) ).
tcf(c_29704,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25380,c_29700]) ).
tcf(c_29706,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26127,c_29700]) ).
tcf(c_29707,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21412,c_29700]) ).
tcf(c_29708,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22947,c_29700]) ).
tcf(c_29709,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6613,c_29700]) ).
tcf(c_29711,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21386,c_29700]) ).
tcf(c_29712,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25380,c_29700]) ).
tcf(c_29713,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22336,c_29700]) ).
tcf(c_29714,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26127,c_29700]) ).
tcf(c_29715,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21412,c_29700]) ).
tcf(c_29716,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22947,c_29700]) ).
tcf(c_29718,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_29700,c_24485]) ).
tcf(c_29727,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_29709,c_22429]) ).
tcf(c_29738,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6613,c_29718]) ).
tcf(c_29740,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21386,c_29718]) ).
tcf(c_29741,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25380,c_29718]) ).
tcf(c_29743,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26127,c_29718]) ).
tcf(c_29744,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21412,c_29718]) ).
tcf(c_29745,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22947,c_29718]) ).
tcf(c_29746,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6613,c_29718]) ).
tcf(c_29748,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21386,c_29718]) ).
tcf(c_29749,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25380,c_29718]) ).
tcf(c_29750,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22336,c_29718]) ).
tcf(c_29751,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26127,c_29718]) ).
tcf(c_29752,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21412,c_29718]) ).
tcf(c_29753,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22947,c_29718]) ).
tcf(c_29758,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_29751,c_25380]) ).
tcf(c_29761,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_29746,c_22429]) ).
tcf(c_29776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X4,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X5,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7562,c_7788]) ).
tcf(c_29777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X4,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X5,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7568,c_7788]) ).
tcf(c_29778,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X4,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7574,c_7788]) ).
tcf(c_29779,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X4,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7580,c_7788]) ).
tcf(c_29780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X4,c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X5,c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7591,c_7788]) ).
tcf(c_29781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X4,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X5,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7597,c_7788]) ).
tcf(c_29782,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X5,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X4,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7603,c_7788]) ).
tcf(c_29783,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X5,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X4,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7609,c_7788]) ).
tcf(c_29785,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7620,c_7788]) ).
tcf(c_29786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != X3 )
| ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7626,c_7788]) ).
tcf(c_29787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X4,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7632,c_7788]) ).
tcf(c_29788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7644,c_7788]) ).
tcf(c_29789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X4,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7650,c_7788]) ).
tcf(c_29790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X4,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7656,c_7788]) ).
tcf(c_29791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X4,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X5,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7661,c_7788]) ).
tcf(c_29792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,c_HOL_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X4,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X5,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7667,c_7788]) ).
tcf(c_29793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X4,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X5,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7562,c_7788]) ).
tcf(c_29794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X4,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X5,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7568,c_7788]) ).
tcf(c_29795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X4,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7574,c_7788]) ).
tcf(c_29796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X4,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7580,c_7788]) ).
tcf(c_29797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X4,c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X5,c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7591,c_7788]) ).
tcf(c_29798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X4,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X5,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7597,c_7788]) ).
tcf(c_29799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X5,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X4,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7603,c_7788]) ).
tcf(c_29800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X5,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X4,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7609,c_7788]) ).
tcf(c_29801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7614,c_7788]) ).
tcf(c_29802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7620,c_7788]) ).
tcf(c_29803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != X1 ) ),
inference(superposition,[status(thm)],[c_7626,c_7788]) ).
tcf(c_29804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X4,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7632,c_7788]) ).
tcf(c_29805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7644,c_7788]) ).
tcf(c_29806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X4,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7650,c_7788]) ).
tcf(c_29807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,c_HOL_Oplus__class_Oplus(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X4,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7656,c_7788]) ).
tcf(c_29808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X4,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X5,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7661,c_7788]) ).
tcf(c_29809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X4,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X5,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_7667,c_7788]) ).
tcf(c_29810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(equality_resolution,[status(thm)],[c_7788]) ).
tcf(c_29816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(light_normalisation,[status(thm)],[c_29785,c_7656]) ).
tcf(c_29854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( X2 != X3 )
| ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(light_normalisation,[status(thm)],[c_29803,c_7626]) ).
tcf(c_29855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( X2 != X3 )
| ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != X1 ) ),
inference(light_normalisation,[status(thm)],[c_29854,c_7626]) ).
tcf(c_29856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(light_normalisation,[status(thm)],[c_29855,c_7626]) ).
tcf(c_29860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != X3 )
| ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != X1 ) ),
inference(light_normalisation,[status(thm)],[c_29786,c_7626]) ).
tcf(c_29861,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( X2 != X3 )
| ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != X1 ) ),
inference(light_normalisation,[status(thm)],[c_29860,c_7626]) ).
tcf(c_29862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(light_normalisation,[status(thm)],[c_29861,c_7626]) ).
tcf(c_29866,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(ground_joinability,[status(thm)],[c_29801,c_7614]) ).
tcf(c_30001,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_Polynomial_Odegree(c_Polynomial_Omonom(X0,X1,tc_nat),tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_1031,c_930]) ).
tcf(c_30002,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_Polynomial_Odegree(c_Polynomial_Omonom(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1 ) ),
inference(superposition,[status(thm)],[c_1030,c_930]) ).
tcf(c_30003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = X1 )
| ( c_Polynomial_Odegree(c_Polynomial_Omonom(X1,X2,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = X2 )
| ~ class_HOL_Ozero(X0) ),
inference(superposition,[status(thm)],[c_1029,c_930]) ).
tcf(c_30022,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1046,c_1048]) ).
tcf(c_30023,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)),c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Otimes__class_Otimes(X1,X1,tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(superposition,[status(thm)],[c_1045,c_1048]) ).
tcf(c_30032,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_993,c_1063]) ).
tcf(c_30033,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_993,c_1063]) ).
tcf(c_30035,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_990,c_1063]) ).
tcf(c_30037,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_971,c_1063]) ).
tcf(c_30041,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_21888,c_1063]) ).
tcf(c_30043,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_997,c_1063]) ).
tcf(c_30045,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_999,c_1063]) ).
tcf(c_30046,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_994,c_1063]) ).
tcf(c_30047,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_997,c_1063]) ).
tcf(c_30049,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_999,c_1063]) ).
tcf(c_30050,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_994,c_1063]) ).
tcf(c_30118,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_27068,c_27243]) ).
tcf(c_30119,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6613,c_30118]) ).
tcf(c_30121,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21386,c_30118]) ).
tcf(c_30122,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25380,c_30118]) ).
tcf(c_30124,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26127,c_30118]) ).
tcf(c_30125,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21412,c_30118]) ).
tcf(c_30126,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22947,c_30118]) ).
tcf(c_30127,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6613,c_30118]) ).
tcf(c_30129,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21386,c_30118]) ).
tcf(c_30130,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25380,c_30118]) ).
tcf(c_30131,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22336,c_30118]) ).
tcf(c_30132,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26127,c_30118]) ).
tcf(c_30133,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21412,c_30118]) ).
tcf(c_30134,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22947,c_30118]) ).
tcf(c_30147,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_30127,c_22429]) ).
tcf(c_30163,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6543,c_27397]) ).
tcf(c_30176,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ominus__class_Ominus(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_27447]) ).
tcf(c_30180,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = X1 )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_27447,c_1282]) ).
tcf(c_30181,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = X1 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_27447,c_1020]) ).
tcf(c_30183,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27447,c_25744]) ).
tcf(c_30188,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27447,c_22903]) ).
tcf(c_30189,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27447,c_25744]) ).
tcf(c_30192,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27447,c_25703]) ).
tcf(c_30196,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_30192,c_27243]) ).
tcf(c_30197,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30181,c_1011]) ).
tcf(c_30207,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)),X0,tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_28026,c_1267]) ).
tcf(c_30217,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_10416]) ).
tcf(c_30218,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21455,c_10416]) ).
tcf(c_30219,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21461,c_10416]) ).
tcf(c_30220,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25368,c_10416]) ).
tcf(c_30221,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_25280]) ).
tcf(c_30222,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_22511]) ).
tcf(c_30224,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_10416,c_25978]) ).
tcf(c_30225,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_10416,c_26412]) ).
tcf(c_30226,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_25577]) ).
tcf(c_30227,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_25572]) ).
tcf(c_30228,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_21994]) ).
tcf(c_30229,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_21989]) ).
tcf(c_30230,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10416,c_6746]) ).
tcf(c_30231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10416,c_6731]) ).
tcf(c_30232,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_22608]) ).
tcf(c_30233,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_22663]) ).
tcf(c_30234,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_22492]) ).
tcf(c_30235,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_6701]) ).
tcf(c_30236,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_6613]) ).
tcf(c_30238,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_6552]) ).
tcf(c_30239,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_6543]) ).
tcf(c_30240,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_6492]) ).
tcf(c_30241,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_21994]) ).
tcf(c_30242,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_21989]) ).
tcf(c_30243,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_6701]) ).
tcf(c_30244,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_6613]) ).
tcf(c_30245,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_23611]) ).
tcf(c_30246,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_22441]) ).
tcf(c_30247,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_22666]) ).
tcf(c_30252,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_22444]) ).
tcf(c_30253,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_22175]) ).
tcf(c_30255,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_23599]) ).
tcf(c_30315,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_997,c_1104]) ).
tcf(c_30317,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X2,tc_nat) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_1104]) ).
tcf(c_30318,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_994,c_1104]) ).
tcf(c_30321,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_902,c_1104]) ).
tcf(c_30322,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_903,c_1104]) ).
tcf(c_30323,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_915,c_1104]) ).
tcf(c_30325,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_1104]) ).
tcf(c_30326,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat) = c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),
inference(superposition,[status(thm)],[c_1129,c_1104]) ).
tcf(c_30327,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_1128,c_1104]) ).
tcf(c_30329,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_1173]) ).
tcf(c_30330,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_1172]) ).
tcf(c_30332,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_1170]) ).
tcf(c_30333,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_25981]) ).
tcf(c_30335,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_1104]) ).
tcf(c_30336,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_26574]) ).
tcf(c_30337,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_26418]) ).
tcf(c_30338,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_26415]) ).
tcf(c_30339,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),X2,tc_nat),
inference(superposition,[status(thm)],[c_1104,c_920]) ).
tcf(c_30340,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_913]) ).
tcf(c_30341,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_912]) ).
tcf(c_30342,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_924]) ).
tcf(c_30343,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_923]) ).
tcf(c_30344,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_1127]) ).
tcf(c_30345,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oone__class_Oone(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_1126]) ).
tcf(c_30346,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_910]) ).
tcf(c_30347,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_909]) ).
tcf(c_30348,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_1104,c_7469]) ).
tcf(c_30349,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_1104,c_7463]) ).
tcf(c_30350,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_21292]) ).
tcf(c_30353,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_26400]) ).
tcf(c_30354,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_924]) ).
tcf(c_30355,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_26306]) ).
tcf(c_30356,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_912]) ).
tcf(c_30357,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_923]) ).
tcf(c_30358,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_26577]) ).
tcf(c_30359,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_21274]) ).
tcf(c_30360,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_915]) ).
tcf(c_30361,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_1171]) ).
tcf(c_30362,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_26563]) ).
tcf(c_30363,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),X2,tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_999]) ).
tcf(c_30364,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_1104,c_25496]) ).
tcf(c_30365,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_25114]) ).
tcf(c_30368,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_972]) ).
tcf(c_30369,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_1007]) ).
tcf(c_30370,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_1006]) ).
tcf(c_30371,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_21592]) ).
tcf(c_30372,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) != X1 ) ),
inference(superposition,[status(thm)],[c_1104,c_1005]) ).
tcf(c_30373,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_987]) ).
tcf(c_30374,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_4714]) ).
tcf(c_30375,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_975]) ).
tcf(c_30376,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_1104,c_974]) ).
tcf(c_30378,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_973]) ).
tcf(c_30379,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_991]) ).
tcf(c_30380,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat),X2,tc_nat),
inference(superposition,[status(thm)],[c_1104,c_21615]) ).
tcf(c_30381,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_21613]) ).
tcf(c_30382,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_1003]) ).
tcf(c_30383,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_971]) ).
tcf(c_30384,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_990]) ).
tcf(c_30385,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_998]) ).
tcf(c_30386,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X2 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_1002]) ).
tcf(c_30387,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_973]) ).
tcf(c_30388,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_972]) ).
tcf(c_30389,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_25470]) ).
tcf(c_30390,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_25413]) ).
tcf(c_30391,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_4713]) ).
tcf(c_30392,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_21688]) ).
tcf(c_30393,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_1104,c_21245]) ).
tcf(c_30394,plain,
! [X0: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_21229]) ).
tcf(c_30395,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_21228]) ).
tcf(c_30396,plain,
! [X0: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_21230]) ).
tcf(c_30397,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_999]) ).
tcf(c_30398,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_994]) ).
tcf(c_30399,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_971]) ).
tcf(c_30400,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_21888]) ).
tcf(c_30401,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_21695]) ).
tcf(c_30402,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_21659]) ).
tcf(c_30410,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(light_normalisation,[status(thm)],[c_30398,c_903]) ).
tcf(c_30411,plain,
! [X0: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_30396,c_1128]) ).
tcf(c_30416,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat) = X0,
inference(light_normalisation,[status(thm)],[c_30321,c_996]) ).
tcf(c_30417,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) != X0,
inference(light_normalisation,[status(thm)],[c_30395,c_1128]) ).
tcf(c_30426,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_30392,c_1128]) ).
tcf(c_30706,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_997,c_1105]) ).
tcf(c_30708,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_1105]) ).
tcf(c_30709,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_994,c_1105]) ).
tcf(c_30713,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_902,c_1105]) ).
tcf(c_30714,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_903,c_1105]) ).
tcf(c_30717,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_1105]) ).
tcf(c_30718,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_1129,c_1105]) ).
tcf(c_30719,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),
inference(superposition,[status(thm)],[c_1128,c_1105]) ).
tcf(c_30720,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_1105]) ).
tcf(c_30722,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_1173]) ).
tcf(c_30723,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_1172]) ).
tcf(c_30725,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_1170]) ).
tcf(c_30726,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_25981]) ).
tcf(c_30728,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_1105]) ).
tcf(c_30729,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_1104]) ).
tcf(c_30730,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_26574]) ).
tcf(c_30731,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_26418]) ).
tcf(c_30732,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_26415]) ).
tcf(c_30733,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),X2,tc_nat),
inference(superposition,[status(thm)],[c_1105,c_920]) ).
tcf(c_30734,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_913]) ).
tcf(c_30735,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_912]) ).
tcf(c_30736,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_924]) ).
tcf(c_30737,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_923]) ).
tcf(c_30738,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oone__class_Oone(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_1127]) ).
tcf(c_30739,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_1126]) ).
tcf(c_30740,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_910]) ).
tcf(c_30741,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_909]) ).
tcf(c_30742,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_1105,c_7469]) ).
tcf(c_30743,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_1105,c_7463]) ).
tcf(c_30744,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_21292]) ).
tcf(c_30746,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_913]) ).
tcf(c_30747,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_26400]) ).
tcf(c_30748,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_924]) ).
tcf(c_30749,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_26306]) ).
tcf(c_30750,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_912]) ).
tcf(c_30751,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_923]) ).
tcf(c_30752,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_26577]) ).
tcf(c_30753,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_21274]) ).
tcf(c_30755,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_1171]) ).
tcf(c_30756,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_26563]) ).
tcf(c_30757,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X2,tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_999]) ).
tcf(c_30758,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_1105,c_25496]) ).
tcf(c_30759,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_25114]) ).
tcf(c_30762,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_972]) ).
tcf(c_30763,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_1007]) ).
tcf(c_30764,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_1006]) ).
tcf(c_30765,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_21592]) ).
tcf(c_30766,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != X0 ) ),
inference(superposition,[status(thm)],[c_1105,c_1005]) ).
tcf(c_30767,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_987]) ).
tcf(c_30768,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_4714]) ).
tcf(c_30769,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_975]) ).
tcf(c_30770,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_1105,c_974]) ).
tcf(c_30772,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_973]) ).
tcf(c_30773,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_991]) ).
tcf(c_30774,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_1105,c_21615]) ).
tcf(c_30775,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_21613]) ).
tcf(c_30776,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_1003]) ).
tcf(c_30777,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_971]) ).
tcf(c_30778,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_990]) ).
tcf(c_30779,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_998]) ).
tcf(c_30780,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X2 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_1002]) ).
tcf(c_30781,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_973]) ).
tcf(c_30782,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_972]) ).
tcf(c_30783,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_25470]) ).
tcf(c_30784,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_25413]) ).
tcf(c_30785,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_4713]) ).
tcf(c_30786,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_21688]) ).
tcf(c_30787,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_1105,c_21245]) ).
tcf(c_30788,plain,
! [X0: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_21229]) ).
tcf(c_30789,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_1105,c_21228]) ).
tcf(c_30790,plain,
! [X0: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_21230]) ).
tcf(c_30791,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_999]) ).
tcf(c_30792,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_1105,c_994]) ).
tcf(c_30793,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_971]) ).
tcf(c_30794,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_1104]) ).
tcf(c_30795,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_21888]) ).
tcf(c_30796,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_21695]) ).
tcf(c_30797,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_21659]) ).
tcf(c_30805,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(light_normalisation,[status(thm)],[c_30792,c_902]) ).
tcf(c_30806,plain,
! [X0: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_30790,c_1129]) ).
tcf(c_30811,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = X0,
inference(light_normalisation,[status(thm)],[c_30714,c_996]) ).
tcf(c_30812,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != X0,
inference(light_normalisation,[status(thm)],[c_30789,c_1129]) ).
tcf(c_30821,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_30786,c_1129]) ).
tcf(c_31068,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X2),X1,X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_1192,c_1191]) ).
tcf(c_31069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X1),X1),X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ class_Ring__and__Field_Oidom(X1)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1),X2,X1) ),
inference(superposition,[status(thm)],[c_1054,c_1191]) ).
tcf(c_31070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X3,X0),X2,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| ~ class_Ring__and__Field_Oidom(X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),X2,X0) ),
inference(superposition,[status(thm)],[c_1053,c_1191]) ).
tcf(c_31072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X1)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_1266,c_1191]) ).
tcf(c_31073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X2),X3,X2)
| ~ class_Ring__and__Field_Ocomm__ring__1(X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_1264,c_1191]) ).
tcf(c_31074,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
inference(superposition,[status(thm)],[c_1181,c_1191]) ).
tcf(c_31075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),X3,X2) ),
inference(superposition,[status(thm)],[c_947,c_1191]) ).
tcf(c_31076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X0,X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) ),
inference(superposition,[status(thm)],[c_1171,c_1191]) ).
tcf(c_31077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X1,X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) ),
inference(superposition,[status(thm)],[c_1170,c_1191]) ).
tcf(c_31090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21493,c_1191]) ).
tcf(c_31093,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21989,c_1191]) ).
tcf(c_31094,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21991,c_1191]) ).
tcf(c_31095,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21994,c_1191]) ).
tcf(c_31096,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22155,c_1191]) ).
tcf(c_31098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22444,c_1191]) ).
tcf(c_31099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22441,c_1191]) ).
tcf(c_31100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22486,c_1191]) ).
tcf(c_31101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22492,c_1191]) ).
tcf(c_31102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22513,c_1191]) ).
tcf(c_31103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22511,c_1191]) ).
tcf(c_31104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22608,c_1191]) ).
tcf(c_31105,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22620,c_1191]) ).
tcf(c_31106,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22640,c_1191]) ).
tcf(c_31107,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22643,c_1191]) ).
tcf(c_31108,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22655,c_1191]) ).
tcf(c_31109,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22663,c_1191]) ).
tcf(c_31110,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22666,c_1191]) ).
tcf(c_31111,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23310,c_1191]) ).
tcf(c_31112,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23312,c_1191]) ).
tcf(c_31113,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23332,c_1191]) ).
tcf(c_31114,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23337,c_1191]) ).
tcf(c_31115,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23377,c_1191]) ).
tcf(c_31116,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23453,c_1191]) ).
tcf(c_31117,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23533,c_1191]) ).
tcf(c_31118,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23599,c_1191]) ).
tcf(c_31119,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23611,c_1191]) ).
tcf(c_31120,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23995,c_1191]) ).
tcf(c_31121,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24002,c_1191]) ).
tcf(c_31122,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24023,c_1191]) ).
tcf(c_31123,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24064,c_1191]) ).
tcf(c_31124,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26062,c_1191]) ).
tcf(c_31125,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24227,c_1191]) ).
tcf(c_31126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24213,c_1191]) ).
tcf(c_31127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24215,c_1191]) ).
tcf(c_31128,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24224,c_1191]) ).
tcf(c_31129,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24284,c_1191]) ).
tcf(c_31131,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_24400,c_1191]) ).
tcf(c_31132,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_24406,c_1191]) ).
tcf(c_31133,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_24407,c_1191]) ).
tcf(c_31134,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_24408,c_1191]) ).
tcf(c_31135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25978,c_1191]) ).
tcf(c_31136,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26727,c_1191]) ).
tcf(c_31137,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24546,c_1191]) ).
tcf(c_31138,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X2),X1,X2)
| ~ class_Ring__and__Field_Ocomm__ring__1(X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_24521,c_1191]) ).
tcf(c_31139,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_24525,c_1191]) ).
tcf(c_31140,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24549,c_1191]) ).
tcf(c_31141,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_24599,c_1191]) ).
tcf(c_31142,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_24615,c_1191]) ).
tcf(c_31143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24866,c_1191]) ).
tcf(c_31144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24895,c_1191]) ).
tcf(c_31145,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24912,c_1191]) ).
tcf(c_31146,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25255,c_1191]) ).
tcf(c_31147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25280,c_1191]) ).
tcf(c_31148,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25393,c_1191]) ).
tcf(c_31149,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25557,c_1191]) ).
tcf(c_31150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25572,c_1191]) ).
tcf(c_31151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25577,c_1191]) ).
tcf(c_31152,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25744,c_1191]) ).
tcf(c_31153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_25981,c_1191]) ).
tcf(c_31154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25975,c_1191]) ).
tcf(c_31155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26303,c_1191]) ).
tcf(c_31156,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_26081,c_1191]) ).
tcf(c_31157,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_26082,c_1191]) ).
tcf(c_31158,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26145,c_1191]) ).
tcf(c_31159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_26306,c_1191]) ).
tcf(c_31160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_26400,c_1191]) ).
tcf(c_31161,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_26418,c_1191]) ).
tcf(c_31163,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_26577,c_1191]) ).
tcf(c_31164,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_26769,c_1191]) ).
tcf(c_31165,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_26771,c_1191]) ).
tcf(c_31166,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27001,c_1191]) ).
tcf(c_31169,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_nat)),X1,tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_28026,c_1191]) ).
tcf(c_31171,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_29491,c_1191]) ).
tcf(c_31172,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_29492,c_1191]) ).
tcf(c_31173,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_29497,c_1191]) ).
tcf(c_31174,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_29700,c_1191]) ).
tcf(c_31175,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_29718,c_1191]) ).
tcf(c_31176,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_30118,c_1191]) ).
tcf(c_31184,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31139,c_1131]) ).
tcf(c_31192,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31133,c_1131]) ).
tcf(c_31200,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31109,c_964]) ).
tcf(c_31203,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31108,c_964]) ).
tcf(c_31206,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31107,c_964]) ).
tcf(c_31209,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31106,c_964]) ).
tcf(c_31212,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31105,c_964]) ).
tcf(c_31215,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31175,c_964]) ).
tcf(c_31218,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31164,c_1131]) ).
tcf(c_31222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),X3,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31160,c_1131]) ).
tcf(c_31225,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31156,c_1131]) ).
tcf(c_31230,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31115,c_964]) ).
tcf(c_31233,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31114,c_964]) ).
tcf(c_31236,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31113,c_964]) ).
tcf(c_31239,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31111,c_964]) ).
tcf(c_31242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31104,c_964]) ).
tcf(c_31245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31103,c_964]) ).
tcf(c_31248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31102,c_964]) ).
tcf(c_31251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31101,c_964]) ).
tcf(c_31254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31100,c_964]) ).
tcf(c_31263,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31142,c_1131]) ).
tcf(c_31267,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31141,c_1131]) ).
tcf(c_31271,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31137,c_964]) ).
tcf(c_31275,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31125,c_964]) ).
tcf(c_31279,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31119,c_964]) ).
tcf(c_31282,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31118,c_964]) ).
tcf(c_31285,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31110,c_964]) ).
tcf(c_31288,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31176,c_964]) ).
tcf(c_31291,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31174,c_964]) ).
tcf(c_31294,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31166,c_964]) ).
tcf(c_31297,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31165,c_1131]) ).
tcf(c_31301,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),X2,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31163,c_1131]) ).
tcf(c_31305,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),X2,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31161,c_1131]) ).
tcf(c_31309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31159,c_1131]) ).
tcf(c_31313,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31158,c_964]) ).
tcf(c_31316,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31157,c_1131]) ).
tcf(c_31320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31155,c_964]) ).
tcf(c_31324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31154,c_964]) ).
tcf(c_31328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31153,c_1131]) ).
tcf(c_31332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31151,c_964]) ).
tcf(c_31335,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31150,c_964]) ).
tcf(c_31338,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31149,c_964]) ).
tcf(c_31341,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31148,c_964]) ).
tcf(c_31344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31147,c_964]) ).
tcf(c_31347,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31146,c_964]) ).
tcf(c_31350,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31145,c_964]) ).
tcf(c_31353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31144,c_964]) ).
tcf(c_31356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31143,c_964]) ).
tcf(c_31359,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31140,c_964]) ).
tcf(c_31362,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31136,c_964]) ).
tcf(c_31366,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31135,c_964]) ).
tcf(c_31370,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),X1,tc_nat),X2,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31134,c_1131]) ).
tcf(c_31374,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_nat),tc_nat),X2,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31132,c_1131]) ).
tcf(c_31378,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31129,c_964]) ).
tcf(c_31381,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31128,c_964]) ).
tcf(c_31384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31127,c_964]) ).
tcf(c_31387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31126,c_964]) ).
tcf(c_31390,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31124,c_964]) ).
tcf(c_31394,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31123,c_964]) ).
tcf(c_31397,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31122,c_964]) ).
tcf(c_31400,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31121,c_964]) ).
tcf(c_31403,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31120,c_964]) ).
tcf(c_31406,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31117,c_964]) ).
tcf(c_31409,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31116,c_964]) ).
tcf(c_31412,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31112,c_964]) ).
tcf(c_31415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31099,c_964]) ).
tcf(c_31418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31098,c_964]) ).
tcf(c_31423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31090,c_964]) ).
tcf(c_31750,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(v_s____,v_u____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Power_Opower__class_Opower(X0,c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(v_r____,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_970,c_943]) ).
tcf(c_31751,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_21308,c_943]) ).
tcf(c_31752,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21309,c_943]) ).
tcf(c_31753,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_21576,c_943]) ).
tcf(c_31754,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21577,c_943]) ).
tcf(c_31755,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_22161,c_943]) ).
tcf(c_31756,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_22162,c_943]) ).
tcf(c_31757,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(v_s____,v_u____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,v_r____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_970,c_943]) ).
tcf(c_31758,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_21308,c_943]) ).
tcf(c_31759,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21309,c_943]) ).
tcf(c_31760,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_21576,c_943]) ).
tcf(c_31761,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21577,c_943]) ).
tcf(c_31762,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_Polynomial_Opoly(tc_nat)),X1,tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_22161,c_943]) ).
tcf(c_31763,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_22162,c_943]) ).
tcf(c_31764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X4,X1,X2),X3,X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X0,X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),X3,X2) ),
inference(superposition,[status(thm)],[c_943,c_1191]) ).
tcf(c_31765,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Power_Opower__class_Opower(X1,X2,tc_nat),c_Power_Opower__class_Opower(X0,X2,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_943,c_12548]) ).
tcf(c_31766,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Power_Opower__class_Opower(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Power_Opower__class_Opower(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_943,c_12552]) ).
tcf(c_31769,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31752,c_964]) ).
tcf(c_31772,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31751,c_1131]) ).
tcf(c_31775,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_31761,c_21577]) ).
tcf(c_31776,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(light_normalisation,[status(thm)],[c_31760,c_21576]) ).
tcf(c_31785,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Power_Opower__class_Opower(X1,X2,tc_nat),c_Power_Opower__class_Opower(X0,X2,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31765,c_1131]) ).
tcf(c_31809,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_30359]) ).
tcf(c_31810,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_30359]) ).
tcf(c_31812,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_30359]) ).
tcf(c_31813,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_902,c_30359]) ).
tcf(c_31817,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_30359]) ).
tcf(c_31818,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1129,c_30359]) ).
tcf(c_31819,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1128,c_30359]) ).
tcf(c_31820,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_30359]) ).
tcf(c_31821,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_30359]) ).
tcf(c_31823,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_30359,c_1265]) ).
tcf(c_31824,plain,
! [X0: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_30359,c_1182]) ).
tcf(c_31828,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_30359,c_26394]) ).
tcf(c_31829,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_30359,c_26574]) ).
tcf(c_31830,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_30359,c_26415]) ).
tcf(c_31832,plain,
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(light_normalisation,[status(thm)],[c_31824,c_903]) ).
tcf(c_31835,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_31810,c_30397]) ).
tcf(c_31836,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_31821,c_30729]) ).
tcf(c_31843,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_31818]) ).
tcf(c_31844,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_31818]) ).
tcf(c_31848,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_31818,c_1191]) ).
tcf(c_31849,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_31818,c_1265]) ).
tcf(c_31853,plain,
! [X0: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_31818,c_12548]) ).
tcf(c_31854,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_31818,c_26394]) ).
tcf(c_31855,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_31818,c_26574]) ).
tcf(c_31856,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_31818,c_26415]) ).
tcf(c_31859,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31848,c_1131]) ).
tcf(c_31869,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_30744]) ).
tcf(c_31870,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_30744]) ).
tcf(c_31871,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_994,c_30744]) ).
tcf(c_31872,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_30744]) ).
tcf(c_31873,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_902,c_30744]) ).
tcf(c_31877,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_30744]) ).
tcf(c_31880,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_30744]) ).
tcf(c_31881,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_30744]) ).
tcf(c_31883,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),X1,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_30744,c_1265]) ).
tcf(c_31884,plain,
! [X0: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_30744,c_1182]) ).
tcf(c_31886,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_30744,c_1172]) ).
tcf(c_31888,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_30744,c_26394]) ).
tcf(c_31889,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_30744,c_26574]) ).
tcf(c_31890,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_30744,c_26415]) ).
tcf(c_31892,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_31889,c_27577]) ).
tcf(c_31896,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(light_normalisation,[status(thm)],[c_31886,c_27577]) ).
tcf(c_31898,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_31877,c_30717]) ).
tcf(c_31899,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_31870,c_30791]) ).
tcf(c_31900,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_31880,c_30720]) ).
tcf(c_31979,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_nat)),X1,tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_28027,c_1191]) ).
tcf(c_31981,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_28027,c_1265]) ).
tcf(c_31982,plain,
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_28027,c_1182]) ).
tcf(c_31983,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_28027,c_1173]) ).
tcf(c_31984,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_28027,c_1172]) ).
tcf(c_32029,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_28050,c_1191]) ).
tcf(c_32033,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_28050,c_24485]) ).
tcf(c_32034,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_28050,c_25968]) ).
tcf(c_32036,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_32034,c_6432,c_21975]) ).
tcf(c_32037,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32029,c_964]) ).
tcf(c_32053,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6543,c_29062]) ).
tcf(c_32135,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(global_subsumption_just,[status(thm)],[c_29572,c_1263,c_24241,c_29572]) ).
tcf(c_32139,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_32135,c_1191]) ).
tcf(c_32140,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_32135,c_1267]) ).
tcf(c_32142,plain,
! [X0: $i] : c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_32135,c_12552]) ).
tcf(c_32150,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(global_subsumption_just,[status(thm)],[c_29573,c_1263,c_24241,c_29573]) ).
tcf(c_32154,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_32150,c_1191]) ).
tcf(c_32156,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_32150,c_1265]) ).
tcf(c_32158,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_32150,c_1173]) ).
tcf(c_32159,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_32150,c_1172]) ).
tcf(c_32160,plain,
! [X0: $i] : c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_32150,c_12552]) ).
tcf(c_32263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6701,c_1023]) ).
tcf(c_32265,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_27447,c_1023]) ).
tcf(c_32266,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_25685,c_1023]) ).
tcf(c_32267,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22903,c_1023]) ).
tcf(c_32268,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21469,c_1023]) ).
tcf(c_32269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex) )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(X3,X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6701,c_1023]) ).
tcf(c_32271,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex) = X2 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Ominus__class_Ominus(X0,X0,tc_Complex_Ocomplex) != X1 ) ),
inference(superposition,[status(thm)],[c_22588,c_1023]) ).
tcf(c_32272,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = X2 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Ominus__class_Ominus(X0,X0,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_27447,c_1023]) ).
tcf(c_32273,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) = X1 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Ominus__class_Ominus(X0,X0,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_25685,c_1023]) ).
tcf(c_32274,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Ominus__class_Ominus(X0,X0,tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22903,c_1023]) ).
tcf(c_32275,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Ominus__class_Ominus(X0,X0,tc_Complex_Ocomplex) != X1 ) ),
inference(superposition,[status(thm)],[c_21469,c_1023]) ).
tcf(c_32276,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X2,X1,tc_Complex_Ocomplex) = X2 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Ominus__class_Ominus(X0,X0,tc_Complex_Ocomplex) != X1 ) ),
inference(superposition,[status(thm)],[c_22768,c_1023]) ).
tcf(c_32277,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X2,X1,tc_Complex_Ocomplex) = X2 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Ominus__class_Ominus(X0,X0,tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_25686,c_1023]) ).
tcf(c_32278,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex) = X2 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Ominus__class_Ominus(X0,X0,tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_25699,c_1023]) ).
tcf(c_32279,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ominus__class_Ominus(X2,X1,tc_Complex_Ocomplex) = X2 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Ominus__class_Ominus(X0,X0,tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_25703,c_1023]) ).
tcf(c_32282,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32268,c_1011]) ).
tcf(c_32303,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32266,c_1011]) ).
tcf(c_32306,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32265,c_1011]) ).
tcf(c_32312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(X3,X3,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32269,c_1011]) ).
tcf(c_32341,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_29684,c_1191]) ).
tcf(c_32344,plain,
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_29684,c_1182]) ).
tcf(c_32345,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_29684,c_1173]) ).
tcf(c_32346,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_29684,c_1172]) ).
tcf(c_32347,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_29684,c_26412]) ).
tcf(c_32348,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_29684,c_26391]) ).
tcf(c_32349,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_29684,c_24184]) ).
tcf(c_32351,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_29684,c_26571]) ).
tcf(c_32352,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_29684,c_26409]) ).
tcf(c_32355,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_32352,c_22228]) ).
tcf(c_32357,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_32347,c_6552]) ).
tcf(c_32359,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_32346,c_10640]) ).
tcf(c_32363,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32341,c_964]) ).
tcf(c_32422,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_993,c_30376]) ).
tcf(c_32424,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_991,c_30376]) ).
tcf(c_32425,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X2,tc_nat),
inference(superposition,[status(thm)],[c_990,c_30376]) ).
tcf(c_32426,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1099,c_30376]) ).
tcf(c_32428,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21888,c_30376]) ).
tcf(c_32429,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_903,c_30376]) ).
tcf(c_32432,plain,
! [X0: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1128,c_30376]) ).
tcf(c_32433,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_1104,c_30376]) ).
tcf(c_32434,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_997,c_30376]) ).
tcf(c_32436,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X2,tc_nat),X2,tc_nat),
inference(superposition,[status(thm)],[c_999,c_30376]) ).
tcf(c_32437,plain,
! [X0: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_994,c_30376]) ).
tcf(c_32448,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_993,c_30770]) ).
tcf(c_32450,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_991,c_30770]) ).
tcf(c_32451,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_990,c_30770]) ).
tcf(c_32452,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1099,c_30770]) ).
tcf(c_32454,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21888,c_30770]) ).
tcf(c_32458,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_30770]) ).
tcf(c_32460,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_1105,c_30770]) ).
tcf(c_32461,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_997,c_30770]) ).
tcf(c_32463,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_999,c_30770]) ).
tcf(c_32464,plain,
! [X0: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_994,c_30770]) ).
tcf(c_32581,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10643,c_10640]) ).
tcf(c_32582,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6607,c_10640]) ).
tcf(c_32583,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23283,c_10640]) ).
tcf(c_32584,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21364,c_10640]) ).
tcf(c_32585,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21375,c_10640]) ).
tcf(c_32586,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_10640]) ).
tcf(c_32587,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21443,c_10640]) ).
tcf(c_32589,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23285,c_10640]) ).
tcf(c_32590,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10640,c_22175]) ).
tcf(c_32591,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10640,c_21435]) ).
tcf(c_32592,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10640,c_6607]) ).
tcf(c_32593,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10640,c_29684]) ).
tcf(c_32594,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10640,c_28050]) ).
tcf(c_32595,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10640,c_27001]) ).
tcf(c_32596,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10640,c_26145]) ).
tcf(c_32597,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10640,c_25557]) ).
tcf(c_32598,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10640,c_25393]) ).
tcf(c_32599,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10640,c_25255]) ).
tcf(c_32600,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10640,c_24912]) ).
tcf(c_32601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10640,c_22444]) ).
tcf(c_32602,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10640,c_23599]) ).
tcf(c_32603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10640,c_22441]) ).
tcf(c_32604,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10640,c_23377]) ).
tcf(c_32605,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10640,c_23337]) ).
tcf(c_32606,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10640,c_23332]) ).
tcf(c_32607,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10640,c_23310]) ).
tcf(c_32608,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10640,c_22666]) ).
tcf(c_32609,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10640,c_12538]) ).
tcf(c_32610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10640,c_21493]) ).
tcf(c_32611,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10640,c_21402]) ).
tcf(c_32612,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10640,c_21442]) ).
tcf(c_32613,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10640,c_21346]) ).
tcf(c_32615,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_32587,c_6559]) ).
tcf(c_32617,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_32607,c_21980]) ).
tcf(c_32618,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_32605,c_21980]) ).
tcf(c_32620,plain,
! [X0: $i] : c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_32583,c_21975,c_23853]) ).
tcf(c_32621,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_32582,c_6552]) ).
tcf(c_32622,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_32602,c_21980]) ).
tcf(c_32623,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_32600,c_21980]) ).
tcf(c_32624,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_32599,c_21980]) ).
tcf(c_32625,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_32598,c_21980]) ).
tcf(c_32626,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_32597,c_21980]) ).
tcf(c_32627,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_32596,c_21980]) ).
tcf(c_32628,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_32595,c_21980]) ).
tcf(c_32631,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_27001,c_32620]) ).
tcf(c_32632,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_26145,c_32620]) ).
tcf(c_32634,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_25393,c_32620]) ).
tcf(c_32635,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_24549,c_32620]) ).
tcf(c_32636,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_24224,c_32620]) ).
tcf(c_32640,plain,
c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_21975,c_32620]) ).
tcf(c_32641,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_29684,c_32620]) ).
tcf(c_32642,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_28050,c_32620]) ).
tcf(c_32643,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_25255,c_32620]) ).
tcf(c_32644,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_24912,c_32620]) ).
tcf(c_32645,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_23377,c_32620]) ).
tcf(c_32646,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_23332,c_32620]) ).
tcf(c_32693,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_HOL_Ozero(tc_nat)
| ( c_Polynomial_Omonom(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) ) ),
inference(superposition,[status(thm)],[c_22312,c_1037]) ).
tcf(c_32694,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_HOL_Ozero(tc_Complex_Ocomplex)
| ( c_Polynomial_Omonom(X0,X1,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_22313,c_1037]) ).
tcf(c_32696,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_Polynomial_Omonom(X0,X1,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32694,c_1030]) ).
tcf(c_32699,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_Polynomial_Omonom(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32693,c_1031]) ).
tcf(c_32708,plain,
! [X0: $i,X1: $i] : c_HOL_Ouminus__class_Ouminus(c_Polynomial_Omonom(X0,X1,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Omonom(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1011,c_1040]) ).
tcf(c_32709,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_Polynomial_Omonom(X1,X2,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))) = c_Polynomial_Omonom(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)),X2,tc_Polynomial_Opoly(X0)) )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(superposition,[status(thm)],[c_1010,c_1040]) ).
tcf(c_32728,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_902,c_1049]) ).
tcf(c_32729,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_903,c_1049]) ).
tcf(c_32730,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_915,c_1049]) ).
tcf(c_32732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X0,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X1,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_1049]) ).
tcf(c_32733,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1129,c_1049]) ).
tcf(c_32734,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_1128,c_1049]) ).
tcf(c_32736,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_1049]) ).
tcf(c_32737,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_1049]) ).
tcf(c_32738,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_10643,c_1049]) ).
tcf(c_32739,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6607,c_1049]) ).
tcf(c_32740,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23283,c_1049]) ).
tcf(c_32741,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21364,c_1049]) ).
tcf(c_32742,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21375,c_1049]) ).
tcf(c_32743,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21402,c_1049]) ).
tcf(c_32744,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21443,c_1049]) ).
tcf(c_32745,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22325,c_1049]) ).
tcf(c_32746,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23285,c_1049]) ).
tcf(c_32747,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_24109,c_1049]) ).
tcf(c_32748,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_24387,c_1049]) ).
tcf(c_32749,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),X0,tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_26691,c_1049]) ).
tcf(c_32750,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),X1,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_26936,c_1049]) ).
tcf(c_32751,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_902,c_1049]) ).
tcf(c_32752,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_903,c_1049]) ).
tcf(c_32753,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_915,c_1049]) ).
tcf(c_32755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_1049]) ).
tcf(c_32756,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1129,c_1049]) ).
tcf(c_32757,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X1,tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1128,c_1049]) ).
tcf(c_32759,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_1049]) ).
tcf(c_32760,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_1049]) ).
tcf(c_32761,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_10643,c_1049]) ).
tcf(c_32762,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6607,c_1049]) ).
tcf(c_32763,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23283,c_1049]) ).
tcf(c_32764,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21364,c_1049]) ).
tcf(c_32765,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21375,c_1049]) ).
tcf(c_32766,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21402,c_1049]) ).
tcf(c_32767,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21443,c_1049]) ).
tcf(c_32768,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22325,c_1049]) ).
tcf(c_32769,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23285,c_1049]) ).
tcf(c_32770,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_24109,c_1049]) ).
tcf(c_32771,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_24387,c_1049]) ).
tcf(c_32772,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_nat)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_26691,c_1049]) ).
tcf(c_32773,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),X0,tc_Polynomial_Opoly(tc_nat)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_26936,c_1049]) ).
tcf(c_32774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X4,X2),X3,X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ class_Ring__and__Field_Oidom(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X1,X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) ),
inference(superposition,[status(thm)],[c_1049,c_1191]) ).
tcf(c_32775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ class_Ring__and__Field_Oidom(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_1049,c_1173]) ).
tcf(c_32776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ class_Ring__and__Field_Oidom(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_1049,c_1172]) ).
tcf(c_32777,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1049,c_12548]) ).
tcf(c_32778,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X2,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_1049,c_12552]) ).
tcf(c_32779,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1049,c_26571]) ).
tcf(c_32780,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1049,c_26409]) ).
tcf(c_32781,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1049,c_26574]) ).
tcf(c_32782,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1049,c_26415]) ).
tcf(c_32788,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32764,c_1046]) ).
tcf(c_32795,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32742,c_1046]) ).
tcf(c_32801,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_32761,c_10643]) ).
tcf(c_32802,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(light_normalisation,[status(thm)],[c_32751,c_902]) ).
tcf(c_32803,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32744,c_1046]) ).
tcf(c_32817,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32768,c_1046]) ).
tcf(c_32823,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32745,c_1046]) ).
tcf(c_32829,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32769,c_1046]) ).
tcf(c_32832,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32766,c_1046]) ).
tcf(c_32835,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_32763,c_23283]) ).
tcf(c_32836,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32835,c_1046]) ).
tcf(c_32839,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32762,c_1046]) ).
tcf(c_32842,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32743,c_1046]) ).
tcf(c_32845,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32740,c_1046]) ).
tcf(c_32848,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32739,c_1046]) ).
tcf(c_32854,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_nat)) ),
inference(light_normalisation,[status(thm)],[c_32773,c_26936]) ).
tcf(c_32855,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(light_normalisation,[status(thm)],[c_32771,c_24387]) ).
tcf(c_32997,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1266,c_31859]) ).
tcf(c_32999,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),X0,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_31859]) ).
tcf(c_33000,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1171,c_31859]) ).
tcf(c_33001,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1170,c_31859]) ).
tcf(c_33005,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21274,c_31859]) ).
tcf(c_33007,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21292,c_31859]) ).
tcf(c_33009,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24406,c_31859]) ).
tcf(c_33010,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24407,c_31859]) ).
tcf(c_33011,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),X1,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24408,c_31859]) ).
tcf(c_33012,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24599,c_31859]) ).
tcf(c_33013,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_25981,c_31859]) ).
tcf(c_33014,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_26306,c_31859]) ).
tcf(c_33015,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_26400,c_31859]) ).
tcf(c_33016,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26418,c_31859]) ).
tcf(c_33017,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_26563,c_31859]) ).
tcf(c_33018,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26577,c_31859]) ).
tcf(c_33021,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_30359,c_31859]) ).
tcf(c_33022,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_30744,c_31859]) ).
tcf(c_33023,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_31818,c_31859]) ).
tcf(c_33024,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_999,c_31859]) ).
tcf(c_33025,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_998,c_31859]) ).
tcf(c_33050,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),X0,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32999,c_1131]) ).
tcf(c_33109,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_33005]) ).
tcf(c_33110,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_33005]) ).
tcf(c_33111,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_33005]) ).
tcf(c_33115,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_33005,c_1191]) ).
tcf(c_33116,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_33005,c_1265]) ).
tcf(c_33117,plain,
! [X0: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_33005,c_1182]) ).
tcf(c_33120,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_33005,c_12548]) ).
tcf(c_33121,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_33005,c_26394]) ).
tcf(c_33122,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_33005,c_26574]) ).
tcf(c_33123,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_33005,c_26415]) ).
tcf(c_33124,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_33005,c_31859]) ).
tcf(c_33125,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_33109,c_1128]) ).
tcf(c_33126,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_33117,c_1131]) ).
tcf(c_33129,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),tc_nat),X2,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33115,c_1131]) ).
tcf(c_33180,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_33007]) ).
tcf(c_33181,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_33007]) ).
tcf(c_33182,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_33007]) ).
tcf(c_33186,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_33007,c_1191]) ).
tcf(c_33187,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),X1,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_33007,c_1265]) ).
tcf(c_33188,plain,
! [X0: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_33007,c_1182]) ).
tcf(c_33191,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_33007,c_12548]) ).
tcf(c_33192,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_33007,c_26394]) ).
tcf(c_33193,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_33007,c_26574]) ).
tcf(c_33194,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_33007,c_26415]) ).
tcf(c_33195,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_33007,c_31859]) ).
tcf(c_33197,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_33188,c_1131]) ).
tcf(c_33200,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),X2,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33186,c_1131]) ).
tcf(c_33252,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_993,c_32434]) ).
tcf(c_33254,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_991,c_32434]) ).
tcf(c_33255,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X2,tc_nat),
inference(superposition,[status(thm)],[c_990,c_32434]) ).
tcf(c_33256,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1099,c_32434]) ).
tcf(c_33257,plain,
! [X0: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21890,c_32434]) ).
tcf(c_33258,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21888,c_32434]) ).
tcf(c_33262,plain,
! [X0: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1128,c_32434]) ).
tcf(c_33263,plain,
! [X0: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_1104,c_32434]) ).
tcf(c_33265,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X1,tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_1105,c_32434]) ).
tcf(c_33267,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),X2,tc_nat),X2,tc_nat),
inference(superposition,[status(thm)],[c_998,c_32434]) ).
tcf(c_33270,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_1104,c_32434]) ).
tcf(c_33271,plain,
! [X0: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X0,tc_nat),
inference(light_normalisation,[status(thm)],[c_33263,c_1129]) ).
tcf(c_33281,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_993,c_32461]) ).
tcf(c_33283,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_991,c_32461]) ).
tcf(c_33284,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_990,c_32461]) ).
tcf(c_33285,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1099,c_32461]) ).
tcf(c_33286,plain,
! [X0: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21890,c_32461]) ).
tcf(c_33287,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21888,c_32461]) ).
tcf(c_33291,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_32461]) ).
tcf(c_33293,plain,
! [X0: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_1105,c_32461]) ).
tcf(c_33295,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_1105,c_32461]) ).
tcf(c_33297,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_998,c_32461]) ).
tcf(c_33300,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_1104,c_32461]) ).
tcf(c_33402,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_32620]) ).
tcf(c_33403,plain,
c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21455,c_32620]) ).
tcf(c_33404,plain,
! [X0: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21461,c_32620]) ).
tcf(c_33405,plain,
! [X0: $i,X1: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25368,c_32620]) ).
tcf(c_33406,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_32620,c_22175]) ).
tcf(c_33407,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_32620,c_21435]) ).
tcf(c_33408,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_32620,c_6607]) ).
tcf(c_33409,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_32620,c_22444]) ).
tcf(c_33410,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_32620,c_23599]) ).
tcf(c_33411,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_32620,c_22441]) ).
tcf(c_33412,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_32620,c_22666]) ).
tcf(c_33413,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_32620,c_12538]) ).
tcf(c_33414,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_32620,c_21493]) ).
tcf(c_33415,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_32620,c_21402]) ).
tcf(c_33417,plain,
! [X0: $i] : c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_32620,c_21346]) ).
tcf(c_33418,plain,
! [X0: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_33404,c_32620]) ).
tcf(c_33421,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_33406,c_30253]) ).
tcf(c_33429,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_24215,c_33421]) ).
tcf(c_33431,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_23283,c_33421]) ).
tcf(c_33446,plain,
! [X0: $i] : c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21309,c_10735]) ).
tcf(c_33447,plain,
! [X0: $i] : c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21577,c_10735]) ).
tcf(c_33448,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10735,c_22175]) ).
tcf(c_33449,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10735,c_21435]) ).
tcf(c_33450,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10735,c_6607]) ).
tcf(c_33451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10735,c_22444]) ).
tcf(c_33452,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10735,c_23599]) ).
tcf(c_33453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X2,c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10735,c_22441]) ).
tcf(c_33454,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10735,c_22666]) ).
tcf(c_33455,plain,
! [X0: $i,X1: $i] :
( ( c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10735,c_12538]) ).
tcf(c_33456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10735,c_21493]) ).
tcf(c_33457,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X2,c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10735,c_21402]) ).
tcf(c_33458,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10735,c_21442]) ).
tcf(c_33459,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10735,c_21346]) ).
tcf(c_33460,plain,
! [X0: $i] : c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_33447,c_6432]) ).
tcf(c_33481,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_902,c_1050]) ).
tcf(c_33482,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_903,c_1050]) ).
tcf(c_33485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_1050]) ).
tcf(c_33486,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_1129,c_1050]) ).
tcf(c_33487,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1128,c_1050]) ).
tcf(c_33489,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_1050]) ).
tcf(c_33490,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_1050]) ).
tcf(c_33491,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_10643,c_1050]) ).
tcf(c_33492,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6607,c_1050]) ).
tcf(c_33493,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21364,c_1050]) ).
tcf(c_33494,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21375,c_1050]) ).
tcf(c_33495,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21402,c_1050]) ).
tcf(c_33496,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21443,c_1050]) ).
tcf(c_33498,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23285,c_1050]) ).
tcf(c_33499,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_24109,c_1050]) ).
tcf(c_33500,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_24387,c_1050]) ).
tcf(c_33501,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_26691,c_1050]) ).
tcf(c_33502,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),X0,tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_26936,c_1050]) ).
tcf(c_33503,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_902,c_1050]) ).
tcf(c_33504,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_903,c_1050]) ).
tcf(c_33507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_1050]) ).
tcf(c_33508,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X1,tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1129,c_1050]) ).
tcf(c_33509,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1128,c_1050]) ).
tcf(c_33511,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_1050]) ).
tcf(c_33512,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_1050]) ).
tcf(c_33513,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_10643,c_1050]) ).
tcf(c_33514,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6607,c_1050]) ).
tcf(c_33515,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21364,c_1050]) ).
tcf(c_33516,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21375,c_1050]) ).
tcf(c_33517,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21402,c_1050]) ).
tcf(c_33518,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21443,c_1050]) ).
tcf(c_33520,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23285,c_1050]) ).
tcf(c_33521,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_24109,c_1050]) ).
tcf(c_33522,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_24387,c_1050]) ).
tcf(c_33523,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_26691,c_1050]) ).
tcf(c_33524,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_nat)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_26936,c_1050]) ).
tcf(c_33525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X4,X1,X2),X3,X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ class_Ring__and__Field_Oidom(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X0,X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) ),
inference(superposition,[status(thm)],[c_1050,c_1191]) ).
tcf(c_33526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ class_Ring__and__Field_Oidom(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_1050,c_1173]) ).
tcf(c_33527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ class_Ring__and__Field_Oidom(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_1050,c_1172]) ).
tcf(c_33528,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1050,c_12548]) ).
tcf(c_33529,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_1050,c_12552]) ).
tcf(c_33530,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1050,c_26571]) ).
tcf(c_33531,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1050,c_26409]) ).
tcf(c_33532,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1050,c_26574]) ).
tcf(c_33533,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1050,c_26415]) ).
tcf(c_33538,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33516,c_1046]) ).
tcf(c_33546,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33493,c_1046]) ).
tcf(c_33554,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33491,c_1046]) ).
tcf(c_33570,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33517,c_1046]) ).
tcf(c_33573,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33514,c_1046]) ).
tcf(c_33576,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33498,c_1046]) ).
tcf(c_33579,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33495,c_1046]) ).
tcf(c_33582,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33492,c_1046]) ).
tcf(c_33680,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)
| ( X0 = X2 )
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_993,c_1106]) ).
tcf(c_33682,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_21890,c_1106]) ).
tcf(c_33683,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_977,c_1106]) ).
tcf(c_33684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_991,c_1106]) ).
tcf(c_33685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_990,c_1106]) ).
tcf(c_33686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_973,c_1106]) ).
tcf(c_33687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_971,c_1106]) ).
tcf(c_33688,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1099,c_1106]) ).
tcf(c_33689,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1084,c_1106]) ).
tcf(c_33691,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_4713,c_1106]) ).
tcf(c_33692,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_4714,c_1106]) ).
tcf(c_33693,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_21890,c_1106]) ).
tcf(c_33694,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_21174,c_1106]) ).
tcf(c_33695,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_21229,c_1106]) ).
tcf(c_33696,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_21230,c_1106]) ).
tcf(c_33697,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_21655,c_1106]) ).
tcf(c_33698,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_21659,c_1106]) ).
tcf(c_33699,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_21662,c_1106]) ).
tcf(c_33700,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_21688,c_1106]) ).
tcf(c_33701,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_21692,c_1106]) ).
tcf(c_33702,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_21695,c_1106]) ).
tcf(c_33703,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_25470,c_1106]) ).
tcf(c_33704,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_25496,c_1106]) ).
tcf(c_33705,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_25114,c_1106]) ).
tcf(c_33706,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_21888,c_1106]) ).
tcf(c_33707,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_25413,c_1106]) ).
tcf(c_33832,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oone__class_Oone(tc_nat) = X0 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != X1 ) ),
inference(superposition,[status(thm)],[c_915,c_1124]) ).
tcf(c_33834,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oone__class_Oone(tc_nat) = X2 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_920,c_1124]) ).
tcf(c_33837,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oone__class_Oone(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_1124]) ).
tcf(c_33838,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) != X0 ) ),
inference(superposition,[status(thm)],[c_1105,c_1124]) ).
tcf(c_33848,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oone__class_Oone(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33837,c_1090]) ).
tcf(c_33859,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_964,c_1125]) ).
tcf(c_33860,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(X0)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)) = c_HOL_Oplus__class_Oplus(X1,X1,tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_1125]) ).
tcf(c_33878,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_999,c_33010]) ).
tcf(c_33879,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_998,c_33010]) ).
tcf(c_33883,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_33010,c_1191]) ).
tcf(c_33885,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_33010,c_1265]) ).
tcf(c_33886,plain,
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_33010,c_1182]) ).
tcf(c_33889,plain,
! [X0: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_33010,c_12548]) ).
tcf(c_33890,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_33010,c_26394]) ).
tcf(c_33891,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_33010,c_26574]) ).
tcf(c_33892,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_33010,c_26415]) ).
tcf(c_33893,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_33010,c_31859]) ).
tcf(c_33906,plain,
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33886,c_1131]) ).
tcf(c_33909,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33883,c_1131]) ).
tcf(c_33969,plain,
c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_7503,c_7521]) ).
tcf(c_33971,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X0,X1,tc_nat),tc_nat)
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_7521,c_12556]) ).
tcf(c_33979,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X0,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_1105,c_7539]) ).
tcf(c_33981,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X2,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_7539]) ).
tcf(c_33982,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_998,c_7539]) ).
tcf(c_33984,plain,
! [X0: $i] : c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = c_Divides_Odiv__class_Omod(X0,X0,tc_nat),
inference(superposition,[status(thm)],[c_996,c_7539]) ).
tcf(c_33985,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_1104,c_7539]) ).
tcf(c_33987,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat)
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_7539,c_12556]) ).
tcf(c_33989,plain,
! [X0: $i] : c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_7539,c_7515]) ).
tcf(c_33994,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(light_normalisation,[status(thm)],[c_33985,c_7463]) ).
tcf(c_33995,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(light_normalisation,[status(thm)],[c_33979,c_7469]) ).
tcf(c_34001,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_7545]) ).
tcf(c_34003,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X2,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),
inference(superposition,[status(thm)],[c_999,c_7545]) ).
tcf(c_34004,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_7545]) ).
tcf(c_34007,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_7545]) ).
tcf(c_34009,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_7545,c_12556]) ).
tcf(c_34011,plain,
! [X0: $i] : c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_7545,c_7515]) ).
tcf(c_34030,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_6406]) ).
tcf(c_34031,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12519,c_25280]) ).
tcf(c_34033,plain,
! [X0: $i,X1: $i] :
( ( c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_6415]) ).
tcf(c_34035,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_12519,c_25978]) ).
tcf(c_34036,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_12519,c_26412]) ).
tcf(c_34037,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12519,c_25577]) ).
tcf(c_34038,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12519,c_25572]) ).
tcf(c_34039,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12519,c_21994]) ).
tcf(c_34040,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12519,c_21989]) ).
tcf(c_34042,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_6731]) ).
tcf(c_34044,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12519,c_22663]) ).
tcf(c_34046,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_6701]) ).
tcf(c_34047,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_6613]) ).
tcf(c_34050,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_6543]) ).
tcf(c_34053,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_21994]) ).
tcf(c_34054,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_21989]) ).
tcf(c_34055,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_6701]) ).
tcf(c_34056,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_6613]) ).
tcf(c_34057,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12519,c_22441]) ).
tcf(c_34058,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12519,c_22666]) ).
tcf(c_34059,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12519,c_21493]) ).
tcf(c_34060,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12519,c_21442]) ).
tcf(c_34062,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_10416]) ).
tcf(c_34063,plain,
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_21253]) ).
tcf(c_34064,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12519,c_22444]) ).
tcf(c_34065,plain,
! [X0: $i] :
( ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_22175]) ).
tcf(c_34066,plain,
! [X0: $i] :
( ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_21435]) ).
tcf(c_34067,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_25577]) ).
tcf(c_34068,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_22608]) ).
tcf(c_34069,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_22441]) ).
tcf(c_34070,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_23599]) ).
tcf(c_34105,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34036,c_21396]) ).
tcf(c_34121,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_34062,c_21461]) ).
tcf(c_34259,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_34105,c_1191]) ).
tcf(c_34265,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34105,c_26412]) ).
tcf(c_34270,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34105,c_26571]) ).
tcf(c_34271,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34105,c_26409]) ).
tcf(c_34272,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34105,c_27397]) ).
tcf(c_34282,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34259,c_964]) ).
tcf(c_34290,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_34272,c_1191]) ).
tcf(c_34292,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_34272,c_1265]) ).
tcf(c_34294,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_34272,c_1173]) ).
tcf(c_34295,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_34272,c_1172]) ).
tcf(c_34296,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34272,c_26412]) ).
tcf(c_34301,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34272,c_26571]) ).
tcf(c_34302,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34272,c_26409]) ).
tcf(c_34303,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34272,c_27397]) ).
tcf(c_34306,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_34302,c_21980,c_33421]) ).
tcf(c_34309,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_34301,c_21980,c_33421]) ).
tcf(c_34312,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_34296,c_6543]) ).
tcf(c_34315,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_34292,c_21461]) ).
tcf(c_34317,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_34295,c_21980,c_33421]) ).
tcf(c_34319,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_34294,c_21980,c_33421]) ).
tcf(c_34321,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34290,c_964]) ).
tcf(c_34336,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_34044,c_25968]) ).
tcf(c_34348,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6543,c_34336]) ).
tcf(c_34351,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_25368,c_34336]) ).
tcf(c_34352,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_34336,c_1191]) ).
tcf(c_34363,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34352,c_964]) ).
tcf(c_34374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6406,c_11126]) ).
tcf(c_34375,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_11126]) ).
tcf(c_34376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6619,c_11126]) ).
tcf(c_34377,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6631,c_11126]) ).
tcf(c_34378,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_11126]) ).
tcf(c_34379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6683,c_11126]) ).
tcf(c_34380,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_11126]) ).
tcf(c_34382,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10643,c_11126]) ).
tcf(c_34383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6607,c_11126]) ).
tcf(c_34385,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21364,c_11126]) ).
tcf(c_34386,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21375,c_11126]) ).
tcf(c_34387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_11126]) ).
tcf(c_34388,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21443,c_11126]) ).
tcf(c_34389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22325,c_11126]) ).
tcf(c_34390,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23285,c_11126]) ).
tcf(c_34391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X4,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_11126,c_1173]) ).
tcf(c_34392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_11126,c_1172]) ).
tcf(c_34394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_11126,c_1049]) ).
tcf(c_34395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_11126,c_1170]) ).
tcf(c_34396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_11126,c_1169]) ).
tcf(c_34397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_11126,c_1054]) ).
tcf(c_34398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_11126,c_1054]) ).
tcf(c_34399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_11126,c_1050]) ).
tcf(c_34400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_11126,c_1050]) ).
tcf(c_34401,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_11126,c_1171]) ).
tcf(c_34402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_11126,c_1049]) ).
tcf(c_34403,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_10640]) ).
tcf(c_34404,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_11126,c_26571]) ).
tcf(c_34405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X4,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_11126,c_26409]) ).
tcf(c_34406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_24284]) ).
tcf(c_34407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_24064]) ).
tcf(c_34408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_24002]) ).
tcf(c_34409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_22643]) ).
tcf(c_34412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_22227]) ).
tcf(c_34413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_11126,c_6683]) ).
tcf(c_34414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_11126,c_6619]) ).
tcf(c_34415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_6406]) ).
tcf(c_34416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_11126]) ).
tcf(c_34417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_11126,c_25975]) ).
tcf(c_34418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_11126,c_6716]) ).
tcf(c_34419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X3,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_11126,c_6683]) ).
tcf(c_34420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X3,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_11126,c_6619]) ).
tcf(c_34421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_24895]) ).
tcf(c_34422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_22513]) ).
tcf(c_34423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_11126,c_26303]) ).
tcf(c_34424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_6607]) ).
tcf(c_34425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_11126,c_6683]) ).
tcf(c_34426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_11126,c_6619]) ).
tcf(c_34427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_25572]) ).
tcf(c_34428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_22492]) ).
tcf(c_34429,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_21364]) ).
tcf(c_34430,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_21443]) ).
tcf(c_34431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_24023]) ).
tcf(c_34432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_22655]) ).
tcf(c_34433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_22325]) ).
tcf(c_34434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_21512]) ).
tcf(c_34435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_21493]) ).
tcf(c_34436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_24866]) ).
tcf(c_34437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_22486]) ).
tcf(c_34438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_25280]) ).
tcf(c_34439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_22511]) ).
tcf(c_34440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_22444]) ).
tcf(c_34441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_24866]) ).
tcf(c_34442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_22486]) ).
tcf(c_34443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_24895]) ).
tcf(c_34444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_22513]) ).
tcf(c_34445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_24002]) ).
tcf(c_34446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_22640]) ).
tcf(c_34447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_24284]) ).
tcf(c_34448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_24064]) ).
tcf(c_34449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_24023]) ).
tcf(c_34450,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_23285]) ).
tcf(c_34451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_24213]) ).
tcf(c_34452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_11126,c_24213]) ).
tcf(c_34453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_34435,c_10640]) ).
tcf(c_34458,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_34377,c_6631]) ).
tcf(c_34459,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_34458,c_10643]) ).
tcf(c_34460,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_34386,c_6654]) ).
tcf(c_34461,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_34398,c_21443]) ).
tcf(c_34462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_34397,c_1046]) ).
tcf(c_34465,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_34388,c_6492]) ).
tcf(c_34468,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_34375,c_6648]) ).
tcf(c_34469,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_34468,c_10640,c_32611]) ).
tcf(c_34470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_34447,c_11126]) ).
tcf(c_34475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_34387,c_22175]) ).
tcf(c_34476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_34475,c_22173]) ).
tcf(c_34477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_34380,c_10416]) ).
tcf(c_34482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_34374,c_11126]) ).
tcf(c_34483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34402,c_1046]) ).
tcf(c_34486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34400,c_1046]) ).
tcf(c_34489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34399,c_1046]) ).
tcf(c_34492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34394,c_1046]) ).
tcf(c_34523,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_25572,c_34460]) ).
tcf(c_34524,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_22492,c_34460]) ).
tcf(c_34525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_11126,c_34460]) ).
tcf(c_34526,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_6406,c_34460]) ).
tcf(c_34739,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) = X0 )
| ~ class_OrderedGroup_Ogroup__add(tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_1280]) ).
tcf(c_34740,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X0,tc_nat) = X1 )
| ~ class_OrderedGroup_Ogroup__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_997,c_1280]) ).
tcf(c_34741,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Ouminus__class_Ouminus(X2,tc_nat) )
| ~ class_OrderedGroup_Ogroup__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_999,c_1280]) ).
tcf(c_34742,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat) = X1 )
| ~ class_OrderedGroup_Ogroup__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_998,c_1280]) ).
tcf(c_34744,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X0 )
| ~ class_OrderedGroup_Ogroup__add(tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) != X0 ) ),
inference(superposition,[status(thm)],[c_996,c_1280]) ).
tcf(c_34745,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_OrderedGroup_Ogroup__add(tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) != X0 ) ),
inference(superposition,[status(thm)],[c_994,c_1280]) ).
tcf(c_34746,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) = X1 )
| ~ class_OrderedGroup_Ogroup__add(tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_1280]) ).
tcf(c_34747,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex) )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6613,c_1280]) ).
tcf(c_34749,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != X0 ) ),
inference(superposition,[status(thm)],[c_21386,c_1280]) ).
tcf(c_34750,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_25380,c_1280]) ).
tcf(c_34752,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_26127,c_1280]) ).
tcf(c_34754,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1 )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != X0 ) ),
inference(superposition,[status(thm)],[c_22947,c_1280]) ).
tcf(c_34755,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 )
| ~ class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != X0 ) ),
inference(superposition,[status(thm)],[c_27119,c_1280]) ).
tcf(c_34756,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != X0 ) ),
inference(superposition,[status(thm)],[c_26924,c_1280]) ).
tcf(c_34764,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex) = X1 )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != X0 ) ),
inference(light_normalisation,[status(thm)],[c_34754,c_25368]) ).
tcf(c_34765,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34764,c_1269]) ).
tcf(c_34775,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) )
| ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34752,c_1269]) ).
tcf(c_34778,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34750,c_1269]) ).
tcf(c_34793,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34747,c_1269]) ).
tcf(c_34860,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ouminus__class_Ouminus(X0,tc_nat) )
| ~ class_OrderedGroup_Ogroup__add(tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_1281]) ).
tcf(c_34861,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_nat) = X0 )
| ~ class_OrderedGroup_Ogroup__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_997,c_1281]) ).
tcf(c_34862,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) = X2 )
| ~ class_OrderedGroup_Ogroup__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_999,c_1281]) ).
tcf(c_34863,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) = c_HOL_Ouminus__class_Ouminus(X1,tc_nat) )
| ~ class_OrderedGroup_Ogroup__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_998,c_1281]) ).
tcf(c_34867,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ouminus__class_Ouminus(X1,tc_nat) )
| ~ class_OrderedGroup_Ogroup__add(tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_1281]) ).
tcf(c_34868,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex) )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6613,c_1281]) ).
tcf(c_34875,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != X0 ) ),
inference(superposition,[status(thm)],[c_22947,c_1281]) ).
tcf(c_34878,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34875,c_1269]) ).
tcf(c_34896,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34868,c_1269]) ).
tcf(c_34908,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_996,c_5328]) ).
tcf(c_34915,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_5328]) ).
tcf(c_34916,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_7545]) ).
tcf(c_34917,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X0,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_5328,c_7539]) ).
tcf(c_34918,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X2,tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_999]) ).
tcf(c_34919,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_5328,c_25496]) ).
tcf(c_34923,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_972]) ).
tcf(c_34926,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_21592]) ).
tcf(c_34927,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != X0 ) ),
inference(superposition,[status(thm)],[c_5328,c_1005]) ).
tcf(c_34928,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_987]) ).
tcf(c_34929,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_4714]) ).
tcf(c_34931,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_975]) ).
tcf(c_34937,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_991]) ).
tcf(c_34938,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_5328,c_21615]) ).
tcf(c_34939,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_21613]) ).
tcf(c_34941,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_971]) ).
tcf(c_34942,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_990]) ).
tcf(c_34944,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat) = X2 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_5328,c_1002]) ).
tcf(c_34946,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_972]) ).
tcf(c_34947,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_25470]) ).
tcf(c_34948,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_5328,c_25413]) ).
tcf(c_34949,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_4713]) ).
tcf(c_34950,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_997]) ).
tcf(c_34951,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X1,tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_5328,c_32434]) ).
tcf(c_34952,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_21688]) ).
tcf(c_34953,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_5328,c_21245]) ).
tcf(c_34954,plain,
! [X0: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_21229]) ).
tcf(c_34955,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_5328,c_21228]) ).
tcf(c_34956,plain,
! [X0: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_21230]) ).
tcf(c_34957,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_999]) ).
tcf(c_34959,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_21615]) ).
tcf(c_34961,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_998]) ).
tcf(c_34962,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_5328,c_994]) ).
tcf(c_34963,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_971]) ).
tcf(c_34964,plain,
! [X0: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_4713]) ).
tcf(c_34965,plain,
! [X0: $i] : c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_4714]) ).
tcf(c_34966,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_5328,c_32461]) ).
tcf(c_34967,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_21888]) ).
tcf(c_34968,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_21695]) ).
tcf(c_34969,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_21659]) ).
tcf(c_34973,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_33010]) ).
tcf(c_34974,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_33007]) ).
tcf(c_34975,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_33005]) ).
tcf(c_34976,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_31859]) ).
tcf(c_34977,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_31818]) ).
tcf(c_34978,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_7545]) ).
tcf(c_34979,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),X0,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_5328,c_7539]) ).
tcf(c_34980,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),X2,tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_999]) ).
tcf(c_34981,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_5328,c_25496]) ).
tcf(c_34985,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_972]) ).
tcf(c_34989,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) != X0 ) ),
inference(superposition,[status(thm)],[c_5328,c_1005]) ).
tcf(c_34990,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_987]) ).
tcf(c_34991,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_4714]) ).
tcf(c_34993,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_975]) ).
tcf(c_34998,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_973]) ).
tcf(c_34999,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_991]) ).
tcf(c_35000,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_5328,c_21615]) ).
tcf(c_35001,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_21613]) ).
tcf(c_35002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_5328,c_1003]) ).
tcf(c_35003,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_971]) ).
tcf(c_35004,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_990]) ).
tcf(c_35005,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_998]) ).
tcf(c_35006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X2 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_5328,c_1002]) ).
tcf(c_35007,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_973]) ).
tcf(c_35008,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_972]) ).
tcf(c_35009,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_25470]) ).
tcf(c_35010,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_5328,c_25413]) ).
tcf(c_35011,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_4713]) ).
tcf(c_35012,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_997]) ).
tcf(c_35013,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),X1,tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_5328,c_32434]) ).
tcf(c_35014,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_21688]) ).
tcf(c_35015,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_5328,c_21245]) ).
tcf(c_35016,plain,
! [X0: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_21229]) ).
tcf(c_35017,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_21228]) ).
tcf(c_35018,plain,
! [X0: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_21230]) ).
tcf(c_35019,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_999]) ).
tcf(c_35022,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_21613]) ).
tcf(c_35023,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_998]) ).
tcf(c_35024,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_994]) ).
tcf(c_35025,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_971]) ).
tcf(c_35028,plain,
! [X0: $i] : c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_4713]) ).
tcf(c_35029,plain,
! [X0: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_4714]) ).
tcf(c_35030,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_5328,c_32461]) ).
tcf(c_35031,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_21888]) ).
tcf(c_35032,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_21695]) ).
tcf(c_35033,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_21659]) ).
tcf(c_35035,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_33010]) ).
tcf(c_35036,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_33007]) ).
tcf(c_35037,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_33005]) ).
tcf(c_35038,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_31859]) ).
tcf(c_35039,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_31818]) ).
tcf(c_35066,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) != X0,
inference(forward_subsumption_resolution,[status(thm)],[c_34989,c_1090]) ).
tcf(c_35067,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != X0,
inference(forward_subsumption_resolution,[status(thm)],[c_34927,c_21245]) ).
tcf(c_35294,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_1192,c_12546]) ).
tcf(c_35295,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) )
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_1054,c_12546]) ).
tcf(c_35296,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat) )
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_1053,c_12546]) ).
tcf(c_35298,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_nat),tc_nat),X0,tc_nat) = c_Divides_Odiv__class_Omod(X2,X0,tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1266,c_12546]) ).
tcf(c_35299,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,X1,tc_nat),c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1264,c_12546]) ).
tcf(c_35300,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_1181,c_12546]) ).
tcf(c_35301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X2,c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),tc_nat) )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1050,c_12546]) ).
tcf(c_35302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X3,X0,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X2,c_HOL_Otimes__class_Otimes(X3,X0,tc_nat),tc_nat) )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1049,c_12546]) ).
tcf(c_35303,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,c_Power_Opower__class_Opower(X2,X0,tc_nat),tc_nat),X2,tc_nat) = c_Divides_Odiv__class_Omod(X1,X2,tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_12546]) ).
tcf(c_35304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),X0,tc_nat) = c_Divides_Odiv__class_Omod(X2,X0,tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1171,c_12546]) ).
tcf(c_35305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat),X0,tc_nat) = c_Divides_Odiv__class_Omod(X2,X0,tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1170,c_12546]) ).
tcf(c_35308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,c_Power_Opower__class_Opower(X1,X3,tc_nat),tc_nat),c_Power_Opower__class_Opower(X0,X3,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X2,c_Power_Opower__class_Opower(X0,X3,tc_nat),tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_943,c_12546]) ).
tcf(c_35309,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat),
inference(superposition,[status(thm)],[c_21272,c_12546]) ).
tcf(c_35310,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),X2,tc_nat) = c_Divides_Odiv__class_Omod(X0,X2,tc_nat),
inference(superposition,[status(thm)],[c_21274,c_12546]) ).
tcf(c_35311,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21271,c_12546]) ).
tcf(c_35313,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat),
inference(superposition,[status(thm)],[c_21292,c_12546]) ).
tcf(c_35315,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_nat),tc_nat),tc_nat),X2,tc_nat) = c_Divides_Odiv__class_Omod(X0,X2,tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24406,c_12546]) ).
tcf(c_35316,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_nat),tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24407,c_12546]) ).
tcf(c_35317,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,tc_nat),X2,tc_nat),tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24408,c_12546]) ).
tcf(c_35319,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),c_HOL_Ouminus__class_Ouminus(X1,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_nat),tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24525,c_12546]) ).
tcf(c_35320,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24599,c_12546]) ).
tcf(c_35321,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_nat),tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_nat),tc_nat),tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24615,c_12546]) ).
tcf(c_35322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),X0,tc_nat) = c_Divides_Odiv__class_Omod(X2,X0,tc_nat) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_25981,c_12546]) ).
tcf(c_35323,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26081,c_12546]) ).
tcf(c_35324,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26082,c_12546]) ).
tcf(c_35325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat),X0,tc_nat) = c_Divides_Odiv__class_Omod(X2,X0,tc_nat) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_26306,c_12546]) ).
tcf(c_35326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),tc_nat),X2,tc_nat) = c_Divides_Odiv__class_Omod(X0,X2,tc_nat),
inference(superposition,[status(thm)],[c_26400,c_12546]) ).
tcf(c_35327,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26418,c_12546]) ).
tcf(c_35328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),tc_nat),X3,tc_nat) = c_Divides_Odiv__class_Omod(X0,X3,tc_nat),
inference(superposition,[status(thm)],[c_26563,c_12546]) ).
tcf(c_35329,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),X2,tc_nat) = c_Divides_Odiv__class_Omod(X0,X2,tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26577,c_12546]) ).
tcf(c_35330,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26769,c_12546]) ).
tcf(c_35331,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26771,c_12546]) ).
tcf(c_35332,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat),
inference(superposition,[status(thm)],[c_30359,c_12546]) ).
tcf(c_35333,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat),
inference(superposition,[status(thm)],[c_30744,c_12546]) ).
tcf(c_35334,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat),
inference(superposition,[status(thm)],[c_31818,c_12546]) ).
tcf(c_35335,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X2,tc_nat),tc_nat),tc_nat),X2,tc_nat) = c_Divides_Odiv__class_Omod(X0,X2,tc_nat),
inference(superposition,[status(thm)],[c_33005,c_12546]) ).
tcf(c_35336,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),X2,tc_nat),tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat),
inference(superposition,[status(thm)],[c_33007,c_12546]) ).
tcf(c_35337,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_33010,c_12546]) ).
tcf(c_35339,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(light_normalisation,[status(thm)],[c_35311,c_7503]) ).
tcf(c_35343,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(light_normalisation,[status(thm)],[c_35294,c_7503]) ).
tcf(c_35375,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,c_Power_Opower__class_Opower(X2,X0,tc_nat),tc_nat),X2,tc_nat) = c_Divides_Odiv__class_Omod(X1,X2,tc_nat) )
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35303,c_1131]) ).
tcf(c_35387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,c_Power_Opower__class_Opower(X1,X3,tc_nat),tc_nat),c_Power_Opower__class_Opower(X0,X3,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X2,c_Power_Opower__class_Opower(X0,X3,tc_nat),tc_nat) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35308,c_1131]) ).
tcf(c_35503,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_34060,c_25968]) ).
tcf(c_35514,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10640,c_35503]) ).
tcf(c_35515,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6552,c_35503]) ).
tcf(c_35517,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10735,c_35503]) ).
tcf(c_35518,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21346,c_35503]) ).
tcf(c_35519,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_32620,c_35503]) ).
tcf(c_35520,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_35503,c_1191]) ).
tcf(c_35534,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35520,c_964]) ).
tcf(c_35611,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_35518,c_1191]) ).
tcf(c_35613,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_35518,c_1265]) ).
tcf(c_35615,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_35518,c_1173]) ).
tcf(c_35616,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_35518,c_1172]) ).
tcf(c_35617,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35518,c_26412]) ).
tcf(c_35622,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35518,c_26571]) ).
tcf(c_35623,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35518,c_26409]) ).
tcf(c_35624,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35518,c_27397]) ).
tcf(c_35626,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_35624,c_32620]) ).
tcf(c_35632,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_35622,c_10640]) ).
tcf(c_35635,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_35617,c_6552]) ).
tcf(c_35638,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_35613,c_32620]) ).
tcf(c_35640,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_35616,c_10640]) ).
tcf(c_35642,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_35615,c_10640]) ).
tcf(c_35644,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35611,c_964]) ).
tcf(c_35652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_34265,c_1191]) ).
tcf(c_35654,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_34265,c_1265]) ).
tcf(c_35656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_34265,c_1173]) ).
tcf(c_35657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_34265,c_1172]) ).
tcf(c_35658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34265,c_26412]) ).
tcf(c_35663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34265,c_26571]) ).
tcf(c_35664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34265,c_26409]) ).
tcf(c_35665,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34265,c_27397]) ).
tcf(c_35668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_35664,c_34526]) ).
tcf(c_35671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_35663,c_34526]) ).
tcf(c_35676,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_35654,c_10416]) ).
tcf(c_35678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_35657,c_34526]) ).
tcf(c_35680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_35656,c_34526]) ).
tcf(c_35682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35652,c_964]) ).
tcf(c_35690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_34270,c_1191]) ).
tcf(c_35692,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_34270,c_1265]) ).
tcf(c_35694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_34270,c_1173]) ).
tcf(c_35695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_34270,c_1172]) ).
tcf(c_35696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34270,c_26412]) ).
tcf(c_35701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34270,c_26571]) ).
tcf(c_35702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34270,c_26409]) ).
tcf(c_35703,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34270,c_27397]) ).
tcf(c_35706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_35702,c_23535]) ).
tcf(c_35709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_35701,c_23535]) ).
tcf(c_35713,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_35692,c_33421]) ).
tcf(c_35715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_35695,c_23535]) ).
tcf(c_35717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_35694,c_23535]) ).
tcf(c_35719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35690,c_964]) ).
tcf(c_35744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X1,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_34271,c_1191]) ).
tcf(c_35756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34271,c_26409]) ).
tcf(c_35761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X1,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35744,c_964]) ).
tcf(c_35765,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat) != X1,
inference(superposition,[status(thm)],[c_997,c_35066]) ).
tcf(c_35767,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),
inference(superposition,[status(thm)],[c_999,c_35066]) ).
tcf(c_35768,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) != X0,
inference(superposition,[status(thm)],[c_998,c_35066]) ).
tcf(c_35773,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) != X0,
inference(superposition,[status(thm)],[c_1105,c_35066]) ).
tcf(c_35775,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat) != X0,
inference(superposition,[status(thm)],[c_998,c_35066]) ).
tcf(c_35779,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != X0,
inference(superposition,[status(thm)],[c_1104,c_35066]) ).
tcf(c_35822,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) != X1,
inference(superposition,[status(thm)],[c_997,c_35067]) ).
tcf(c_35824,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),
inference(superposition,[status(thm)],[c_999,c_35067]) ).
tcf(c_35825,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != X1,
inference(superposition,[status(thm)],[c_998,c_35067]) ).
tcf(c_35831,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) != X0,
inference(superposition,[status(thm)],[c_999,c_35067]) ).
tcf(c_35840,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_35635,c_1191]) ).
tcf(c_35846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35635,c_26412]) ).
tcf(c_35851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35635,c_26571]) ).
tcf(c_35852,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35635,c_26409]) ).
tcf(c_35853,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35635,c_27397]) ).
tcf(c_35861,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_35846,c_22173]) ).
tcf(c_35862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_35861,c_34460]) ).
tcf(c_35865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35840,c_964]) ).
tcf(c_35898,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) != X1,
inference(demodulation,[status(thm)],[c_35765,c_28498]) ).
tcf(c_35899,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat) != X0,
inference(superposition,[status(thm)],[c_997,c_35898]) ).
tcf(c_35901,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat) != X2,
inference(superposition,[status(thm)],[c_999,c_35898]) ).
tcf(c_35902,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) != X1,
inference(superposition,[status(thm)],[c_998,c_35898]) ).
tcf(c_35907,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_1105,c_35898]) ).
tcf(c_35909,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),
inference(superposition,[status(thm)],[c_998,c_35898]) ).
tcf(c_35912,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_35898]) ).
tcf(c_35913,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_35898]) ).
tcf(c_35914,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_5328,c_35898]) ).
tcf(c_35925,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat) != X0,
inference(superposition,[status(thm)],[c_5328,c_35768]) ).
tcf(c_35926,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat),
inference(superposition,[status(thm)],[c_5328,c_35768]) ).
tcf(c_35928,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) != X0,
inference(superposition,[status(thm)],[c_1105,c_35768]) ).
tcf(c_35930,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),
inference(superposition,[status(thm)],[c_999,c_35768]) ).
tcf(c_35931,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat) != X1,
inference(superposition,[status(thm)],[c_998,c_35768]) ).
tcf(c_35936,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat) != X1,
inference(superposition,[status(thm)],[c_1104,c_35768]) ).
tcf(c_35957,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X1,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6619,c_11309]) ).
tcf(c_35958,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6654,c_11309]) ).
tcf(c_35959,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21253,c_11309]) ).
tcf(c_35960,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22175,c_11309]) ).
tcf(c_35961,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21435,c_11309]) ).
tcf(c_35962,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6613,c_11309]) ).
tcf(c_35965,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_25380,c_11309]) ).
tcf(c_35966,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22336,c_11309]) ).
tcf(c_35967,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_26127,c_11309]) ).
tcf(c_35969,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22947,c_11309]) ).
tcf(c_35970,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_11309,c_25280]) ).
tcf(c_35971,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_11309,c_22511]) ).
tcf(c_35973,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_11309,c_25978]) ).
tcf(c_35974,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_11309,c_26412]) ).
tcf(c_35975,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_11309,c_25577]) ).
tcf(c_35976,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_11309,c_21994]) ).
tcf(c_35977,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_11309,c_21989]) ).
tcf(c_35978,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_11309,c_6746]) ).
tcf(c_35979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_11309,c_6731]) ).
tcf(c_35980,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_11309,c_22608]) ).
tcf(c_35981,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_11309,c_22663]) ).
tcf(c_35982,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_11309,c_6701]) ).
tcf(c_35983,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_11309,c_6613]) ).
tcf(c_35984,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_11309,c_21441]) ).
tcf(c_35985,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_11309,c_6552]) ).
tcf(c_35986,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_11309,c_6543]) ).
tcf(c_35988,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_11309,c_21994]) ).
tcf(c_35989,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_11309,c_21989]) ).
tcf(c_35990,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_11309,c_6701]) ).
tcf(c_35991,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_11309,c_6613]) ).
tcf(c_35992,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_11309,c_22441]) ).
tcf(c_35993,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_11309,c_22666]) ).
tcf(c_35994,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_11309,c_21442]) ).
tcf(c_35995,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_11309,c_6654]) ).
tcf(c_35996,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_11309,c_21253]) ).
tcf(c_35997,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_11309,c_22444]) ).
tcf(c_35998,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_11309,c_22175]) ).
tcf(c_35999,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_11309,c_21435]) ).
tcf(c_36000,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_11309,c_25577]) ).
tcf(c_36001,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_11309,c_22608]) ).
tcf(c_36002,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_11309,c_22441]) ).
tcf(c_36003,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_11309,c_23599]) ).
tcf(c_36025,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_36003,c_32620]) ).
tcf(c_36035,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_35995,c_6432]) ).
tcf(c_36048,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_35958,c_6432]) ).
tcf(c_36082,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_35999,c_21346]) ).
tcf(c_36086,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_35998,c_21346]) ).
tcf(c_36090,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_35989,c_26127,c_32620]) ).
tcf(c_36094,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_35988,c_26127,c_32620]) ).
tcf(c_36110,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_35960,c_21346]) ).
tcf(c_36140,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X1,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_35957,c_10640]) ).
tcf(c_36320,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),X1,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_902,c_918]) ).
tcf(c_36321,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_903,c_918]) ).
tcf(c_36322,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_915,c_918]) ).
tcf(c_36324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X3,tc_nat),X2,tc_nat),
inference(superposition,[status(thm)],[c_920,c_918]) ).
tcf(c_36326,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1128,c_918]) ).
tcf(c_36327,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_1104,c_918]) ).
tcf(c_36328,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_918]) ).
tcf(c_36329,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_902,c_918]) ).
tcf(c_36330,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_903,c_918]) ).
tcf(c_36331,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_915,c_918]) ).
tcf(c_36333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_920,c_918]) ).
tcf(c_36334,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_1129,c_918]) ).
tcf(c_36335,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_1128,c_918]) ).
tcf(c_36336,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_1104,c_918]) ).
tcf(c_36337,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_918]) ).
tcf(c_36338,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),
inference(superposition,[status(thm)],[c_918,c_35768]) ).
tcf(c_36339,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_7545]) ).
tcf(c_36340,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_7539]) ).
tcf(c_36342,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_918,c_25496]) ).
tcf(c_36343,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_918,c_25114]) ).
tcf(c_36346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X3,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_918,c_972]) ).
tcf(c_36347,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_918,c_1007]) ).
tcf(c_36348,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_918,c_1006]) ).
tcf(c_36349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_918,c_21592]) ).
tcf(c_36350,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_918,c_1005]) ).
tcf(c_36351,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_918,c_987]) ).
tcf(c_36352,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_4714]) ).
tcf(c_36354,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_975]) ).
tcf(c_36355,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_974]) ).
tcf(c_36356,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_30744]) ).
tcf(c_36357,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_918,c_1105]) ).
tcf(c_36358,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) )
| ~ class_OrderedGroup_Ogroup__add(tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_918,c_1281]) ).
tcf(c_36359,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) )
| ~ class_OrderedGroup_Ogroup__add(tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_918,c_1280]) ).
tcf(c_36361,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_918,c_973]) ).
tcf(c_36362,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_918,c_991]) ).
tcf(c_36363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_21615]) ).
tcf(c_36364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_21613]) ).
tcf(c_36365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) = X3 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) != c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_918,c_1003]) ).
tcf(c_36366,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_918,c_971]) ).
tcf(c_36367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_918,c_990]) ).
tcf(c_36368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_998]) ).
tcf(c_36369,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) = X3 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X3,tc_nat) ) ),
inference(superposition,[status(thm)],[c_918,c_1002]) ).
tcf(c_36370,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_918,c_973]) ).
tcf(c_36371,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_918,c_972]) ).
tcf(c_36372,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_918,c_25470]) ).
tcf(c_36373,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_918,c_25413]) ).
tcf(c_36374,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_4713]) ).
tcf(c_36375,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_918,c_997]) ).
tcf(c_36376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X0,tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_918,c_971]) ).
tcf(c_36377,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_918,c_33010]) ).
tcf(c_36378,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_33007]) ).
tcf(c_36379,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_33005]) ).
tcf(c_36380,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_918,c_31859]) ).
tcf(c_36381,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_31818]) ).
tcf(c_36394,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),
inference(light_normalisation,[status(thm)],[c_36335,c_1128]) ).
tcf(c_36395,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),
inference(light_normalisation,[status(thm)],[c_36329,c_996]) ).
tcf(c_36396,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),
inference(light_normalisation,[status(thm)],[c_36320,c_994]) ).
tcf(c_36397,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_36330,c_903]) ).
tcf(c_36593,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_902,c_919]) ).
tcf(c_36594,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_903,c_919]) ).
tcf(c_36595,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_915,c_919]) ).
tcf(c_36597,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X3,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_919]) ).
tcf(c_36598,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1129,c_919]) ).
tcf(c_36600,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_919]) ).
tcf(c_36601,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_919]) ).
tcf(c_36602,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_902,c_919]) ).
tcf(c_36603,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_903,c_919]) ).
tcf(c_36604,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_915,c_919]) ).
tcf(c_36606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_919]) ).
tcf(c_36607,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_1129,c_919]) ).
tcf(c_36608,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_1128,c_919]) ).
tcf(c_36609,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_919]) ).
tcf(c_36610,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_919]) ).
tcf(c_36611,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),
inference(superposition,[status(thm)],[c_919,c_35768]) ).
tcf(c_36612,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_7545]) ).
tcf(c_36613,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_7539]) ).
tcf(c_36614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X3,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X3,tc_nat),
inference(superposition,[status(thm)],[c_919,c_999]) ).
tcf(c_36615,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_919,c_25496]) ).
tcf(c_36616,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_919,c_25114]) ).
tcf(c_36619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X3,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_919,c_972]) ).
tcf(c_36620,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_919,c_1007]) ).
tcf(c_36621,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_919,c_1006]) ).
tcf(c_36622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_919,c_21592]) ).
tcf(c_36623,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_919,c_1005]) ).
tcf(c_36624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_919,c_987]) ).
tcf(c_36625,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_4714]) ).
tcf(c_36627,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_975]) ).
tcf(c_36628,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_974]) ).
tcf(c_36629,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_30359]) ).
tcf(c_36630,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) )
| ~ class_OrderedGroup_Ogroup__add(tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_919,c_1281]) ).
tcf(c_36631,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) )
| ~ class_OrderedGroup_Ogroup__add(tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_919,c_1280]) ).
tcf(c_36633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_919,c_973]) ).
tcf(c_36634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_919,c_991]) ).
tcf(c_36635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_21615]) ).
tcf(c_36636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_21613]) ).
tcf(c_36637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X3 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_919,c_1003]) ).
tcf(c_36638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_919,c_971]) ).
tcf(c_36639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_919,c_990]) ).
tcf(c_36640,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_918]) ).
tcf(c_36641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_998]) ).
tcf(c_36642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) = X3 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X3,tc_nat) ) ),
inference(superposition,[status(thm)],[c_919,c_1002]) ).
tcf(c_36643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_919,c_973]) ).
tcf(c_36644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_919,c_972]) ).
tcf(c_36645,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_919,c_25470]) ).
tcf(c_36646,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_919,c_25413]) ).
tcf(c_36647,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_4713]) ).
tcf(c_36648,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_997]) ).
tcf(c_36649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_919,c_971]) ).
tcf(c_36650,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_1104]) ).
tcf(c_36651,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_919,c_33010]) ).
tcf(c_36652,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_33007]) ).
tcf(c_36653,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_33005]) ).
tcf(c_36654,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_919,c_31859]) ).
tcf(c_36655,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_31818]) ).
tcf(c_36668,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),
inference(light_normalisation,[status(thm)],[c_36607,c_1129]) ).
tcf(c_36669,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_36602,c_902]) ).
tcf(c_36701,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_36612,c_7480]) ).
tcf(c_36708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_36606,c_27577]) ).
tcf(c_36887,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X2 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_920,c_921]) ).
tcf(c_36890,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_921]) ).
tcf(c_36891,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_921]) ).
tcf(c_36895,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36891,c_1090]) ).
tcf(c_36898,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36890,c_1090]) ).
tcf(c_36909,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_Polynomial_Odegree(c_Polynomial_Osmult(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Odegree(X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_1046,c_936]) ).
tcf(c_36910,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = X1 )
| ( c_Polynomial_Odegree(c_Polynomial_Osmult(X1,X2,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_Polynomial_Odegree(X2,tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(superposition,[status(thm)],[c_1045,c_936]) ).
tcf(c_36929,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) != X0,
inference(superposition,[status(thm)],[c_997,c_35825]) ).
tcf(c_36931,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) != X2,
inference(superposition,[status(thm)],[c_999,c_35825]) ).
tcf(c_36938,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),
inference(superposition,[status(thm)],[c_999,c_35825]) ).
tcf(c_36964,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat),
inference(superposition,[status(thm)],[c_5328,c_35902]) ).
tcf(c_36965,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != X0,
inference(superposition,[status(thm)],[c_5328,c_35902]) ).
tcf(c_36967,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),
inference(superposition,[status(thm)],[c_1105,c_35902]) ).
tcf(c_36968,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),
inference(superposition,[status(thm)],[c_919,c_35902]) ).
tcf(c_36969,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),
inference(superposition,[status(thm)],[c_918,c_35902]) ).
tcf(c_36971,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat) != X2,
inference(superposition,[status(thm)],[c_999,c_35902]) ).
tcf(c_36972,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),
inference(superposition,[status(thm)],[c_998,c_35902]) ).
tcf(c_36976,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_35902]) ).
tcf(c_36977,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),
inference(superposition,[status(thm)],[c_1104,c_35902]) ).
tcf(c_36978,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_5328,c_35902]) ).
tcf(c_36985,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_21252,c_21455]) ).
tcf(c_36990,plain,
! [X0: $i] : c_HOL_Ominus__class_Ominus(X0,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_1011,c_21356]) ).
tcf(c_36991,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ominus__class_Ominus(X1,X1,tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))) )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(superposition,[status(thm)],[c_1010,c_21356]) ).
tcf(c_36998,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_36990,c_1023]) ).
tcf(c_37007,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) = X0,
inference(superposition,[status(thm)],[c_1131,c_21365]) ).
tcf(c_37008,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0,
inference(superposition,[status(thm)],[c_964,c_21365]) ).
tcf(c_37009,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))),tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_21365]) ).
tcf(c_37015,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),X1,tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_37007,c_1173]) ).
tcf(c_37018,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_nat)),X1,tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_37007,c_1049]) ).
tcf(c_37019,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_37007,c_1170]) ).
tcf(c_37020,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),X0,tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_37007,c_1169]) ).
tcf(c_37023,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_37007,c_1050]) ).
tcf(c_37024,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)),X1,tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_37007,c_1050]) ).
tcf(c_37026,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),X0,tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_37007,c_1049]) ).
tcf(c_37089,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_37008,c_1049]) ).
tcf(c_37090,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_37008,c_1170]) ).
tcf(c_37094,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_37008,c_1050]) ).
tcf(c_37095,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_37008,c_1050]) ).
tcf(c_37097,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_37008,c_1049]) ).
tcf(c_37099,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_37008,c_7603]) ).
tcf(c_37101,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_37008,c_7597]) ).
tcf(c_37102,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_37008,c_7591]) ).
tcf(c_37105,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_37008,c_7568]) ).
tcf(c_37106,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_37008,c_7591]) ).
tcf(c_37107,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_37008,c_7597]) ).
tcf(c_37120,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(light_normalisation,[status(thm)],[c_37106,c_7580]) ).
tcf(c_37122,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(light_normalisation,[status(thm)],[c_37107,c_37008]) ).
tcf(c_37149,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),X0,tc_Polynomial_Opoly(tc_nat)),
inference(global_subsumption_just,[status(thm)],[c_37020,c_1131,c_1376,c_37020]) ).
tcf(c_37159,plain,
! [X0: $i,X1: $i,X2: $i] : c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X0,X1,tc_nat),X2,tc_nat) = c_Power_Opower__class_Opower(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1131,c_944]) ).
tcf(c_37160,plain,
! [X0: $i,X1: $i,X2: $i] : c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_964,c_944]) ).
tcf(c_37161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,tc_Polynomial_Opoly(X0)),X3,tc_Polynomial_Opoly(X0)) = c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_944]) ).
tcf(c_37171,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X1,X2,tc_nat),tc_nat) = c_Polynomial_Opoly(c_Polynomial_Omonom(X0,X2,tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_1131,c_955]) ).
tcf(c_37172,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_Polynomial_Omonom(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_964,c_955]) ).
tcf(c_37173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X2,X3,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_Polynomial_Opoly(c_Polynomial_Omonom(X1,X3,tc_Polynomial_Opoly(X0)),X2,tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_955]) ).
tcf(c_37204,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_Polynomial_Opoly(X1,X2,tc_nat),tc_nat) = c_Polynomial_Opoly(c_Polynomial_Osmult(X0,X1,tc_nat),X2,tc_nat),
inference(superposition,[status(thm)],[c_1258,c_957]) ).
tcf(c_37205,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_Polynomial_Opoly(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_Polynomial_Osmult(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1257,c_957]) ).
tcf(c_37206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Opoly(X2,X3,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_Polynomial_Opoly(c_Polynomial_Osmult(X1,X2,tc_Polynomial_Opoly(X0)),X3,tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(superposition,[status(thm)],[c_1256,c_957]) ).
tcf(c_37230,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_993,c_984]) ).
tcf(c_37232,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_21890,c_984]) ).
tcf(c_37233,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_977,c_984]) ).
tcf(c_37246,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_21688,c_984]) ).
tcf(c_37247,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_21692,c_984]) ).
tcf(c_37253,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_25413,c_984]) ).
tcf(c_37255,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_984]) ).
tcf(c_37256,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_919,c_984]) ).
tcf(c_37257,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_918,c_984]) ).
tcf(c_37259,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_999,c_984]) ).
tcf(c_37260,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_998,c_984]) ).
tcf(c_37264,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_984]) ).
tcf(c_37265,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_984]) ).
tcf(c_37266,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_984]) ).
tcf(c_37316,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),X0,tc_Polynomial_Opoly(tc_nat)) = X0,
inference(superposition,[status(thm)],[c_1131,c_21376]) ).
tcf(c_37317,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0,
inference(superposition,[status(thm)],[c_964,c_21376]) ).
tcf(c_37318,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))),X1,tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_21376]) ).
tcf(c_37327,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),X0,tc_Polynomial_Opoly(tc_nat)),X1,tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_37316,c_1049]) ).
tcf(c_37332,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),X0,tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_37316,c_1050]) ).
tcf(c_37333,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_nat)),X1,tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_37316,c_1050]) ).
tcf(c_37335,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),X1,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_37316,c_1049]) ).
tcf(c_37342,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37332,c_37149]) ).
tcf(c_37351,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_37317,c_1049]) ).
tcf(c_37356,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_37317,c_1050]) ).
tcf(c_37357,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_37317,c_1050]) ).
tcf(c_37359,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_37317,c_1049]) ).
tcf(c_37362,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_37317,c_7562]) ).
tcf(c_37364,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_37317,c_7597]) ).
tcf(c_37365,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_37317,c_7591]) ).
tcf(c_37368,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_37317,c_7591]) ).
tcf(c_37369,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_37317,c_7597]) ).
tcf(c_37380,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(light_normalisation,[status(thm)],[c_37368,c_37317]) ).
tcf(c_37458,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) = X0,
inference(superposition,[status(thm)],[c_1131,c_21387]) ).
tcf(c_37460,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))),tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_21387]) ).
tcf(c_37521,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_nat)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) )
| ~ class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) != X0 ) ),
inference(superposition,[status(thm)],[c_37458,c_1281]) ).
tcf(c_37522,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) = X0 )
| ~ class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) != X0 ) ),
inference(superposition,[status(thm)],[c_37458,c_1280]) ).
tcf(c_37535,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),X0,tc_Polynomial_Opoly(tc_nat)) = X0,
inference(superposition,[status(thm)],[c_1131,c_21413]) ).
tcf(c_37537,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))),X1,tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_21413]) ).
tcf(c_37548,plain,
! [X0: $i] : c_Polynomial_Osmult(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),X0,tc_Polynomial_Opoly(tc_nat)) = X0,
inference(superposition,[status(thm)],[c_1131,c_21424]) ).
tcf(c_37549,plain,
! [X0: $i] : c_Polynomial_Osmult(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0,
inference(superposition,[status(thm)],[c_964,c_21424]) ).
tcf(c_37550,plain,
! [X0: $i,X1: $i] :
( ( c_Polynomial_Osmult(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))),X1,tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_21424]) ).
tcf(c_37560,plain,
! [X0: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0,
inference(superposition,[status(thm)],[c_1011,c_21462]) ).
tcf(c_37561,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))),tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))) = X1 )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(superposition,[status(thm)],[c_1010,c_21462]) ).
tcf(c_37570,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_37560,c_1265]) ).
tcf(c_37571,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 )
| ~ class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != X1 ) ),
inference(superposition,[status(thm)],[c_37560,c_1294]) ).
tcf(c_37572,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_37560,c_1267]) ).
tcf(c_37573,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_37560,c_1266]) ).
tcf(c_37574,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_37560,c_1264]) ).
tcf(c_37593,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex) ) ),
inference(demodulation,[status(thm)],[c_12523,c_34460]) ).
tcf(c_37616,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1 ) ),
inference(superposition,[status(thm)],[c_6654,c_37593]) ).
tcf(c_37664,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_37593,c_22511]) ).
tcf(c_37683,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1011,c_1012]) ).
tcf(c_37684,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)),c_HOL_Ouminus__class_Ouminus(X2,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(superposition,[status(thm)],[c_1010,c_1012]) ).
tcf(c_37691,plain,
! [X0: $i,X1: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1011,c_1013]) ).
tcf(c_37692,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)),c_HOL_Ouminus__class_Ouminus(X2,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(superposition,[status(thm)],[c_1010,c_1013]) ).
tcf(c_37693,plain,
! [X0: $i,X1: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_37691,c_25368]) ).
tcf(c_37702,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1011,c_1024]) ).
tcf(c_37703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(superposition,[status(thm)],[c_1010,c_1024]) ).
tcf(c_37718,plain,
! [X0: $i] : c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0,
inference(superposition,[status(thm)],[c_1011,c_21470]) ).
tcf(c_37719,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))),tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))) = X1 )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(superposition,[status(thm)],[c_1010,c_21470]) ).
tcf(c_37727,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X1 )
| ~ class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Ominus__class_Ominus(X0,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != X1 ) ),
inference(superposition,[status(thm)],[c_37718,c_1023]) ).
tcf(c_37729,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_21479,c_34460]) ).
tcf(c_37731,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10643,c_37729]) ).
tcf(c_37732,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6607,c_37729]) ).
tcf(c_37733,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21364,c_37729]) ).
tcf(c_37734,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21375,c_37729]) ).
tcf(c_37735,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_37729]) ).
tcf(c_37737,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22325,c_37729]) ).
tcf(c_37738,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23285,c_37729]) ).
tcf(c_37741,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21375,c_37729]) ).
tcf(c_37742,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_37729]) ).
tcf(c_37743,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22325,c_37729]) ).
tcf(c_37744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_37729]) ).
tcf(c_37745,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6492,c_37729]) ).
tcf(c_37746,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_37729]) ).
tcf(c_37747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6619,c_37729]) ).
tcf(c_37749,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12519,c_37729]) ).
tcf(c_37750,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6654,c_37729]) ).
tcf(c_37751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6683,c_37729]) ).
tcf(c_37752,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_37729]) ).
tcf(c_37753,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_11309,c_37729]) ).
tcf(c_37755,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22175,c_37729]) ).
tcf(c_37756,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21435,c_37729]) ).
tcf(c_37757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_37729,c_1191]) ).
tcf(c_37759,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_37729,c_1172]) ).
tcf(c_37762,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_37745,c_21443]) ).
tcf(c_37765,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_37742,c_21402]) ).
tcf(c_37766,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_37732,c_32592]) ).
tcf(c_37769,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37757,c_964]) ).
tcf(c_37801,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21309,c_21480]) ).
tcf(c_37802,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21577,c_21480]) ).
tcf(c_37803,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21309,c_21480]) ).
tcf(c_37804,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21577,c_21480]) ).
tcf(c_37805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_21480]) ).
tcf(c_37806,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6492,c_21480]) ).
tcf(c_37807,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_21480]) ).
tcf(c_37808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6619,c_21480]) ).
tcf(c_37810,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12519,c_21480]) ).
tcf(c_37811,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6654,c_21480]) ).
tcf(c_37812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6683,c_21480]) ).
tcf(c_37813,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_21480]) ).
tcf(c_37814,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_11309,c_21480]) ).
tcf(c_37815,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_21480]) ).
tcf(c_37816,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22175,c_21480]) ).
tcf(c_37817,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21435,c_21480]) ).
tcf(c_37818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21480,c_1191]) ).
tcf(c_37821,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_37801,c_21328]) ).
tcf(c_37822,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_37802,c_21623]) ).
tcf(c_37825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_37805,c_37160]) ).
tcf(c_37904,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21309,c_37806]) ).
tcf(c_37905,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21577,c_37806]) ).
tcf(c_37906,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21309,c_37806]) ).
tcf(c_37908,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_37806,c_1191]) ).
tcf(c_37910,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37908,c_964]) ).
tcf(c_37916,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21309,c_37815]) ).
tcf(c_37917,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21577,c_37815]) ).
tcf(c_37918,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21309,c_37815]) ).
tcf(c_37920,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_37815]) ).
tcf(c_37921,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21455,c_37815]) ).
tcf(c_37922,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21461,c_37815]) ).
tcf(c_37923,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25368,c_37815]) ).
tcf(c_37924,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_37815,c_1191]) ).
tcf(c_37926,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37924,c_964]) ).
tcf(c_37947,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21309,c_37922]) ).
tcf(c_37948,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21577,c_37922]) ).
tcf(c_37949,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_37922]) ).
tcf(c_37953,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21309,c_37922]) ).
tcf(c_37954,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21577,c_37922]) ).
tcf(c_37955,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_37922,c_1191]) ).
tcf(c_37958,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37955,c_964]) ).
tcf(c_37981,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_21490,c_22173,c_34460]) ).
tcf(c_37982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_37981]) ).
tcf(c_37984,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_37981]) ).
tcf(c_37985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6619,c_37981]) ).
tcf(c_37987,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12519,c_37981]) ).
tcf(c_37988,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6654,c_37981]) ).
tcf(c_37989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6683,c_37981]) ).
tcf(c_37990,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_37981]) ).
tcf(c_37991,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_11309,c_37981]) ).
tcf(c_37992,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_37981]) ).
tcf(c_37993,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22175,c_37981]) ).
tcf(c_37994,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21435,c_37981]) ).
tcf(c_37997,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21375,c_37981]) ).
tcf(c_37998,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_37981]) ).
tcf(c_37999,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22325,c_37981]) ).
tcf(c_38000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_37981]) ).
tcf(c_38001,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6492,c_37981]) ).
tcf(c_38002,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_37981]) ).
tcf(c_38003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6619,c_37981]) ).
tcf(c_38004,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6631,c_37981]) ).
tcf(c_38005,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12519,c_37981]) ).
tcf(c_38006,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6654,c_37981]) ).
tcf(c_38007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6683,c_37981]) ).
tcf(c_38008,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_37981]) ).
tcf(c_38009,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_11309,c_37981]) ).
tcf(c_38010,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_37981]) ).
tcf(c_38011,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22175,c_37981]) ).
tcf(c_38012,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21435,c_37981]) ).
tcf(c_38013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_37981,c_1191]) ).
tcf(c_38016,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_38004,c_21443]) ).
tcf(c_38018,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_38002,c_6607]) ).
tcf(c_38020,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_38012,c_22175]) ).
tcf(c_38021,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_38011,c_22175]) ).
tcf(c_38022,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_38010,c_21253]) ).
tcf(c_38025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38013,c_964]) ).
tcf(c_38172,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 ) ),
inference(demodulation,[status(thm)],[c_12525,c_34460]) ).
tcf(c_38183,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6415,c_38172]) ).
tcf(c_38185,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6648,c_38172]) ).
tcf(c_38189,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_10416,c_38172]) ).
tcf(c_38190,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_21253,c_38172]) ).
tcf(c_38191,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_22175,c_38172]) ).
tcf(c_38192,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_21435,c_38172]) ).
tcf(c_38193,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38172,c_1173]) ).
tcf(c_38195,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38172,c_1168]) ).
tcf(c_38196,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38172,c_1049]) ).
tcf(c_38197,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38172,c_1170]) ).
tcf(c_38199,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38172,c_1053]) ).
tcf(c_38200,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38172,c_1053]) ).
tcf(c_38201,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38172,c_1050]) ).
tcf(c_38202,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38172,c_1050]) ).
tcf(c_38204,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38172,c_1049]) ).
tcf(c_38205,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_37729]) ).
tcf(c_38206,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_10640]) ).
tcf(c_38208,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38172,c_26409]) ).
tcf(c_38209,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_24284]) ).
tcf(c_38210,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_24064]) ).
tcf(c_38211,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_24002]) ).
tcf(c_38212,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_22643]) ).
tcf(c_38215,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_22227]) ).
tcf(c_38216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_6683]) ).
tcf(c_38217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_6619]) ).
tcf(c_38219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) != X2 ) ),
inference(superposition,[status(thm)],[c_38172,c_6716]) ).
tcf(c_38220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_6683]) ).
tcf(c_38221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_6619]) ).
tcf(c_38222,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_24895]) ).
tcf(c_38223,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_22513]) ).
tcf(c_38224,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38172,c_26303]) ).
tcf(c_38225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_6683]) ).
tcf(c_38226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_6619]) ).
tcf(c_38228,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_21402]) ).
tcf(c_38229,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_37729]) ).
tcf(c_38230,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_37981]) ).
tcf(c_38231,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_24023]) ).
tcf(c_38232,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_22655]) ).
tcf(c_38233,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = X1 ) ),
inference(superposition,[status(thm)],[c_38172,c_22325]) ).
tcf(c_38234,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_21512]) ).
tcf(c_38235,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_24866]) ).
tcf(c_38236,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_22486]) ).
tcf(c_38281,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38202,c_1046]) ).
tcf(c_38285,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38201,c_1046]) ).
tcf(c_38289,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38196,c_1046]) ).
tcf(c_38458,plain,
! [X0: $i,X1: $i,X2: $i] : c_Polynomial_Omonom(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) = c_Polynomial_Osmult(X0,c_Polynomial_Omonom(X1,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1258,c_1042]) ).
tcf(c_38459,plain,
! [X0: $i,X1: $i,X2: $i] : c_Polynomial_Omonom(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_Polynomial_Osmult(X0,c_Polynomial_Omonom(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1257,c_1042]) ).
tcf(c_38460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Polynomial_Omonom(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X0)),X3,tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(X1,c_Polynomial_Omonom(X2,X3,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(superposition,[status(thm)],[c_1256,c_1042]) ).
tcf(c_38487,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_1131,c_1137]) ).
tcf(c_38488,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_964,c_1137]) ).
tcf(c_38489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X0)),X3,tc_Polynomial_Opoly(X0)) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(X0)),X2,tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_1137]) ).
tcf(c_38490,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_38488,c_23535]) ).
tcf(c_38511,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1131,c_1140]) ).
tcf(c_38512,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_964,c_1140]) ).
tcf(c_38513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_1140]) ).
tcf(c_38562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X0)),X3,tc_Polynomial_Opoly(X0)) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_1141]) ).
tcf(c_38571,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_10643,c_38229]) ).
tcf(c_38572,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6607,c_38229]) ).
tcf(c_38574,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_21375,c_38229]) ).
tcf(c_38575,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_21402,c_38229]) ).
tcf(c_38577,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_22325,c_38229]) ).
tcf(c_38579,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_38229]) ).
tcf(c_38580,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38229,c_1191]) ).
tcf(c_38584,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38229,c_24485]) ).
tcf(c_38585,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38229,c_25968]) ).
tcf(c_38599,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38580,c_964]) ).
tcf(c_38612,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6415,c_38230]) ).
tcf(c_38615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6619,c_38230]) ).
tcf(c_38619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6683,c_38230]) ).
tcf(c_38620,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_10416,c_38230]) ).
tcf(c_38621,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_11309,c_38230]) ).
tcf(c_38623,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22175,c_38230]) ).
tcf(c_38624,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21435,c_38230]) ).
tcf(c_38625,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38230,c_1191]) ).
tcf(c_38628,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38230,c_24485]) ).
tcf(c_38629,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38230,c_25968]) ).
tcf(c_38639,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38625,c_964]) ).
tcf(c_38710,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6415,c_38234]) ).
tcf(c_38712,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6648,c_38234]) ).
tcf(c_38714,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12519,c_38234]) ).
tcf(c_38716,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10416,c_38234]) ).
tcf(c_38717,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21253,c_38234]) ).
tcf(c_38718,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22175,c_38234]) ).
tcf(c_38719,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21435,c_38234]) ).
tcf(c_38725,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_38712,c_6432]) ).
tcf(c_38732,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_38716,c_21461]) ).
tcf(c_38791,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_23285,c_38577]) ).
tcf(c_38792,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_38577]) ).
tcf(c_38793,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38577,c_1191]) ).
tcf(c_38797,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38577,c_24485]) ).
tcf(c_38798,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38577,c_25968]) ).
tcf(c_38809,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38793,c_964]) ).
tcf(c_38819,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) = X0 )
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_993,c_21610]) ).
tcf(c_38821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_991,c_21610]) ).
tcf(c_38822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_990,c_21610]) ).
tcf(c_38825,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1099,c_21610]) ).
tcf(c_38826,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_1108,c_21610]) ).
tcf(c_38827,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat),X2,tc_nat),
inference(superposition,[status(thm)],[c_4713,c_21610]) ).
tcf(c_38828,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_4714,c_21610]) ).
tcf(c_38829,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_21890,c_21610]) ).
tcf(c_38831,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_21655,c_21610]) ).
tcf(c_38832,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_21659,c_21610]) ).
tcf(c_38833,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat),X2,tc_nat),
inference(superposition,[status(thm)],[c_21688,c_21610]) ).
tcf(c_38834,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X2,tc_nat),
inference(superposition,[status(thm)],[c_21692,c_21610]) ).
tcf(c_38837,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_25114,c_21610]) ).
tcf(c_38838,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_21888,c_21610]) ).
tcf(c_38839,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X2 )
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_25413,c_21610]) ).
tcf(c_38841,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_21610]) ).
tcf(c_38842,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_919,c_21610]) ).
tcf(c_38843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_918,c_21610]) ).
tcf(c_38845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_999,c_21610]) ).
tcf(c_38846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_998,c_21610]) ).
tcf(c_38850,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_21610]) ).
tcf(c_38851,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_21610]) ).
tcf(c_38852,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_21610]) ).
tcf(c_38857,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat),X0,tc_nat),
inference(light_normalisation,[status(thm)],[c_38828,c_28498]) ).
tcf(c_38860,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X2 )
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X0,tc_nat) ),
inference(light_normalisation,[status(thm)],[c_38839,c_28498]) ).
tcf(c_38863,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X0,tc_nat) ),
inference(light_normalisation,[status(thm)],[c_38837,c_28498]) ).
tcf(c_38911,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_993,c_21631]) ).
tcf(c_38912,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),tc_nat)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_993,c_21631]) ).
tcf(c_38917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_973,c_21631]) ).
tcf(c_38918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_971,c_21631]) ).
tcf(c_38922,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_4713,c_21631]) ).
tcf(c_38934,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_25470,c_21631]) ).
tcf(c_38935,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_25496,c_21631]) ).
tcf(c_38936,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_25114,c_21631]) ).
tcf(c_38938,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_25413,c_21631]) ).
tcf(c_39023,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_993,c_21819]) ).
tcf(c_39024,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_993,c_21819]) ).
tcf(c_39029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_973,c_21819]) ).
tcf(c_39030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_971,c_21819]) ).
tcf(c_39031,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1099,c_21819]) ).
tcf(c_39034,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_4713,c_21819]) ).
tcf(c_39044,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21692,c_21819]) ).
tcf(c_39045,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21695,c_21819]) ).
tcf(c_39046,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_25470,c_21819]) ).
tcf(c_39047,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_25496,c_21819]) ).
tcf(c_39048,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_25114,c_21819]) ).
tcf(c_39049,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_21888,c_21819]) ).
tcf(c_39050,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),X2,tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_25413,c_21819]) ).
tcf(c_39051,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_39045,c_34980]) ).
tcf(c_39052,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),X2,tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_39044,c_34918]) ).
tcf(c_39057,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat) ),
inference(light_normalisation,[status(thm)],[c_39048,c_28498]) ).
tcf(c_39082,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) = X0 )
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_993,c_21820]) ).
tcf(c_39084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_991,c_21820]) ).
tcf(c_39085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_990,c_21820]) ).
tcf(c_39088,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1099,c_21820]) ).
tcf(c_39089,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_1108,c_21820]) ).
tcf(c_39091,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_4714,c_21820]) ).
tcf(c_39092,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_21890,c_21820]) ).
tcf(c_39094,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_21655,c_21820]) ).
tcf(c_39095,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_21659,c_21820]) ).
tcf(c_39096,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_21688,c_21820]) ).
tcf(c_39097,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_21692,c_21820]) ).
tcf(c_39100,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_25114,c_21820]) ).
tcf(c_39101,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_21888,c_21820]) ).
tcf(c_39102,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X2 )
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_25413,c_21820]) ).
tcf(c_39104,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_21820]) ).
tcf(c_39105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_919,c_21820]) ).
tcf(c_39106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_918,c_21820]) ).
tcf(c_39108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_999,c_21820]) ).
tcf(c_39109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_998,c_21820]) ).
tcf(c_39113,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_21820]) ).
tcf(c_39114,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_21820]) ).
tcf(c_39115,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_21820]) ).
tcf(c_39118,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),X0,tc_nat),
inference(light_normalisation,[status(thm)],[c_39095,c_35019]) ).
tcf(c_39119,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat),X0,tc_nat),
inference(light_normalisation,[status(thm)],[c_39094,c_34957]) ).
tcf(c_39120,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat),X1,tc_nat),
inference(light_normalisation,[status(thm)],[c_39091,c_28498]) ).
tcf(c_39123,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X2 )
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X1,tc_nat) ),
inference(light_normalisation,[status(thm)],[c_39102,c_28498]) ).
tcf(c_39126,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X1,tc_nat) ),
inference(light_normalisation,[status(thm)],[c_39100,c_28498]) ).
tcf(c_39209,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_21839,c_21819]) ).
tcf(c_39210,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_21839,c_21631]) ).
tcf(c_39211,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)
| ( X0 = X2 )
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_21839,c_1106]) ).
tcf(c_39212,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_21839,c_25164]) ).
tcf(c_39213,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_21839,c_25065]) ).
tcf(c_39214,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_21839,c_21595]) ).
tcf(c_39215,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( X0 = X1 )
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_21839,c_12054]) ).
tcf(c_39216,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_21839,c_913]) ).
tcf(c_39217,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_21839,c_924]) ).
tcf(c_39218,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_21839,c_912]) ).
tcf(c_39219,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_21839,c_923]) ).
tcf(c_39220,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_21839,c_984]) ).
tcf(c_39222,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) = X0 )
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_21839,c_21820]) ).
tcf(c_39223,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) = X0 )
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_21839,c_21610]) ).
tcf(c_39224,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X2 ) ),
inference(superposition,[status(thm)],[c_21839,c_21592]) ).
tcf(c_39225,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X2 ) ),
inference(superposition,[status(thm)],[c_21839,c_987]) ).
tcf(c_39226,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_21839,c_910]) ).
tcf(c_39227,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_21839,c_909]) ).
tcf(c_39229,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_21839,c_975]) ).
tcf(c_39230,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_21839,c_974]) ).
tcf(c_39231,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_21839,c_972]) ).
tcf(c_39233,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X1 )
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_21839,c_1100]) ).
tcf(c_39234,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( c_HOL_Oone__class_Oone(tc_nat) = X1 )
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_21839,c_23784]) ).
tcf(c_39235,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Oone__class_Oone(tc_nat) = X0 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_21839,c_12307]) ).
tcf(c_39236,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = X2 ) ),
inference(superposition,[status(thm)],[c_21839,c_21613]) ).
tcf(c_39237,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_21839,c_21615]) ).
tcf(c_39238,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_21839,c_30376]) ).
tcf(c_39239,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_21839,c_30770]) ).
tcf(c_39240,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_21839,c_32434]) ).
tcf(c_39241,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_21839,c_32461]) ).
tcf(c_39244,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)
| ( X0 = X2 )
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_21839,c_1106]) ).
tcf(c_39249,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X2 ) ),
inference(superposition,[status(thm)],[c_21839,c_984]) ).
tcf(c_39251,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X2 ) ),
inference(superposition,[status(thm)],[c_21839,c_910]) ).
tcf(c_39252,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X2 ) ),
inference(superposition,[status(thm)],[c_21839,c_909]) ).
tcf(c_39457,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22336,c_12528]) ).
tcf(c_39459,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_26127,c_12528]) ).
tcf(c_39460,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21412,c_12528]) ).
tcf(c_39462,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10643,c_12528]) ).
tcf(c_39463,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6607,c_12528]) ).
tcf(c_39464,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21364,c_12528]) ).
tcf(c_39465,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21375,c_12528]) ).
tcf(c_39466,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21402,c_12528]) ).
tcf(c_39468,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22325,c_12528]) ).
tcf(c_39469,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23285,c_12528]) ).
tcf(c_39470,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_12528]) ).
tcf(c_39471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12528,c_21480]) ).
tcf(c_39472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12528,c_25280]) ).
tcf(c_39473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12528,c_22511]) ).
tcf(c_39475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12528,c_37729]) ).
tcf(c_39476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_12528,c_25978]) ).
tcf(c_39477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12528,c_37981]) ).
tcf(c_39478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_12528,c_26412]) ).
tcf(c_39479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12528,c_25577]) ).
tcf(c_39480,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12528,c_21994]) ).
tcf(c_39481,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12528,c_21989]) ).
tcf(c_39482,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_6746]) ).
tcf(c_39483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_6731]) ).
tcf(c_39484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12528,c_22608]) ).
tcf(c_39485,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12528,c_22663]) ).
tcf(c_39486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_6701]) ).
tcf(c_39487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_6613]) ).
tcf(c_39488,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12528,c_21441]) ).
tcf(c_39489,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_6552]) ).
tcf(c_39490,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_6543]) ).
tcf(c_39492,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_21994]) ).
tcf(c_39493,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_21989]) ).
tcf(c_39494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12528,c_37981]) ).
tcf(c_39495,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_6701]) ).
tcf(c_39496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_6613]) ).
tcf(c_39497,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12528,c_38230]) ).
tcf(c_39498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12528,c_22441]) ).
tcf(c_39499,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12528,c_22666]) ).
tcf(c_39500,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12528,c_21442]) ).
tcf(c_39501,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_6654]) ).
tcf(c_39502,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_21253]) ).
tcf(c_39503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12528,c_22444]) ).
tcf(c_39504,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_22175]) ).
tcf(c_39505,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_21435]) ).
tcf(c_39506,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_23599]) ).
tcf(c_39529,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_39462,c_21386]) ).
tcf(c_39530,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_39501,c_21364]) ).
tcf(c_39583,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_39502,c_21253]) ).
tcf(c_39586,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_39469,c_25380,c_21253,c_22278,c_37693]) ).
tcf(c_39776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_1154]) ).
tcf(c_39784,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_1131,c_1155]) ).
tcf(c_39785,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_964,c_1155]) ).
tcf(c_39786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(X0)),X3,tc_Polynomial_Opoly(X0)) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,tc_Polynomial_Opoly(X0)),X2,tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_1155]) ).
tcf(c_39797,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_964,c_1157]) ).
tcf(c_39798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(X0)),X3,tc_Polynomial_Opoly(X0)) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_1157]) ).
tcf(c_39807,plain,
! [X0: $i,X1: $i,X2: $i] : c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) = c_Polynomial_Osmult(X0,c_Polynomial_Osmult(X1,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1258,c_1159]) ).
tcf(c_39808,plain,
! [X0: $i,X1: $i,X2: $i] : c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_Polynomial_Osmult(X0,c_Polynomial_Osmult(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1257,c_1159]) ).
tcf(c_39809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X0)),X3,tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(X1,c_Polynomial_Osmult(X2,X3,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(superposition,[status(thm)],[c_1256,c_1159]) ).
tcf(c_39821,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_21849,c_21819]) ).
tcf(c_39822,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),tc_nat)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_21849,c_21631]) ).
tcf(c_39824,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_21849,c_25164]) ).
tcf(c_39825,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),tc_nat)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_21849,c_25065]) ).
tcf(c_39828,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_21849,c_913]) ).
tcf(c_39829,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_21849,c_924]) ).
tcf(c_39830,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_21849,c_912]) ).
tcf(c_39831,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_21849,c_923]) ).
tcf(c_39843,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_21849,c_972]) ).
tcf(c_39844,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_21849,c_1063]) ).
tcf(c_39922,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_21927]) ).
tcf(c_39923,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_919,c_21927]) ).
tcf(c_39924,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_918,c_21927]) ).
tcf(c_39926,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_999,c_21927]) ).
tcf(c_39932,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_21927]) ).
tcf(c_39936,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_21927,c_1106]) ).
tcf(c_39940,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_21927,c_12054]) ).
tcf(c_39941,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_21927,c_984]) ).
tcf(c_39978,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_22126]) ).
tcf(c_39979,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_919,c_22126]) ).
tcf(c_39980,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) != c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_918,c_22126]) ).
tcf(c_39982,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != X2 ) ),
inference(superposition,[status(thm)],[c_999,c_22126]) ).
tcf(c_39983,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_998,c_22126]) ).
tcf(c_39987,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_5328,c_22126]) ).
tcf(c_39988,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_22126]) ).
tcf(c_39989,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_5328,c_22126]) ).
tcf(c_40023,plain,
! [X0: $i] : c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_nat))) = X0,
inference(superposition,[status(thm)],[c_1131,c_22163]) ).
tcf(c_40024,plain,
! [X0: $i] : c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) = X0,
inference(superposition,[status(thm)],[c_964,c_22163]) ).
tcf(c_40025,plain,
! [X0: $i,X1: $i] :
( ( c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0)))) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_22163]) ).
tcf(c_40071,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_nat))),tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_nat)))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_nat)))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_nat))) ),
inference(superposition,[status(thm)],[c_40023,c_943]) ).
tcf(c_40072,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_nat)))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_nat)))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_40023,c_947]) ).
tcf(c_40073,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_nat))),X1,tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_nat)))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_nat)))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_nat))) ),
inference(superposition,[status(thm)],[c_40023,c_943]) ).
tcf(c_40074,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_nat)))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_nat))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40072,c_21174]) ).
tcf(c_40083,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) ),
inference(superposition,[status(thm)],[c_40024,c_943]) ).
tcf(c_40084,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_40024,c_947]) ).
tcf(c_40085,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),X1,tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) ),
inference(superposition,[status(thm)],[c_40024,c_943]) ).
tcf(c_40086,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40084,c_21174]) ).
tcf(c_40105,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_23036]) ).
tcf(c_40106,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_919,c_23036]) ).
tcf(c_40107,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_918,c_23036]) ).
tcf(c_40110,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_998,c_23036]) ).
tcf(c_40115,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_23036]) ).
tcf(c_40119,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_23036,c_1106]) ).
tcf(c_40123,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_23036,c_12054]) ).
tcf(c_40149,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_23163]) ).
tcf(c_40152,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_23163]) ).
tcf(c_40153,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_23163]) ).
tcf(c_40156,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_23163,c_1106]) ).
tcf(c_40160,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_23163,c_12054]) ).
tcf(c_40161,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_23163,c_23784]) ).
tcf(c_40199,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22336,c_12533]) ).
tcf(c_40201,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_26127,c_12533]) ).
tcf(c_40202,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21412,c_12533]) ).
tcf(c_40204,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10643,c_12533]) ).
tcf(c_40205,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6607,c_12533]) ).
tcf(c_40206,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21364,c_12533]) ).
tcf(c_40208,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21402,c_12533]) ).
tcf(c_40210,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22325,c_12533]) ).
tcf(c_40211,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23285,c_12533]) ).
tcf(c_40212,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_12533]) ).
tcf(c_40213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12533,c_21480]) ).
tcf(c_40214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12533,c_25280]) ).
tcf(c_40215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12533,c_22511]) ).
tcf(c_40217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12533,c_37729]) ).
tcf(c_40218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_12533,c_25978]) ).
tcf(c_40219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12533,c_37981]) ).
tcf(c_40220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_12533,c_26412]) ).
tcf(c_40221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12533,c_25577]) ).
tcf(c_40222,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12533,c_21994]) ).
tcf(c_40223,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12533,c_21989]) ).
tcf(c_40224,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_6746]) ).
tcf(c_40225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_6731]) ).
tcf(c_40226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12533,c_22608]) ).
tcf(c_40227,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12533,c_22663]) ).
tcf(c_40228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_6701]) ).
tcf(c_40229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_6613]) ).
tcf(c_40230,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12533,c_21441]) ).
tcf(c_40231,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_6552]) ).
tcf(c_40232,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_6543]) ).
tcf(c_40234,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_12528]) ).
tcf(c_40235,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_21994]) ).
tcf(c_40236,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_21989]) ).
tcf(c_40237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12533,c_37981]) ).
tcf(c_40238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_6701]) ).
tcf(c_40239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_6613]) ).
tcf(c_40240,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12533,c_38230]) ).
tcf(c_40241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12533,c_22441]) ).
tcf(c_40242,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12533,c_22666]) ).
tcf(c_40243,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12533,c_21442]) ).
tcf(c_40244,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_6654]) ).
tcf(c_40245,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_21253]) ).
tcf(c_40246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12533,c_22444]) ).
tcf(c_40247,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_22175]) ).
tcf(c_40248,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_21435]) ).
tcf(c_40249,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_23599]) ).
tcf(c_40266,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_40202,c_6631]) ).
tcf(c_40267,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_40266,c_21412]) ).
tcf(c_40272,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_40204,c_21386]) ).
tcf(c_40273,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_40244,c_6654]) ).
tcf(c_40282,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_40206,c_6654,c_21542]) ).
tcf(c_40328,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_40245,c_21253,c_26127]) ).
tcf(c_40524,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1269,c_1270]) ).
tcf(c_40525,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)),c_HOL_Ouminus__class_Ouminus(X2,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X1,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(superposition,[status(thm)],[c_1009,c_1270]) ).
tcf(c_40536,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex) )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6701,c_1357]) ).
tcf(c_40538,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) = X1 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != X0 ) ),
inference(superposition,[status(thm)],[c_22588,c_1357]) ).
tcf(c_40539,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = X1 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_27447,c_1357]) ).
tcf(c_40540,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = X0 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_25685,c_1357]) ).
tcf(c_40541,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22903,c_1357]) ).
tcf(c_40543,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex) = X1 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != X0 ) ),
inference(superposition,[status(thm)],[c_22768,c_1357]) ).
tcf(c_40544,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex) = X1 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_25686,c_1357]) ).
tcf(c_40545,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) = X1 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_25699,c_1357]) ).
tcf(c_40546,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex) = X1 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_25703,c_1357]) ).
tcf(c_40567,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != X0 ) ),
inference(superposition,[status(thm)],[c_1105,c_1362]) ).
tcf(c_40568,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_919,c_1362]) ).
tcf(c_40569,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_918,c_1362]) ).
tcf(c_40570,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != X1 ) ),
inference(superposition,[status(thm)],[c_997,c_1362]) ).
tcf(c_40571,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X2 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_999,c_1362]) ).
tcf(c_40572,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != X1 ) ),
inference(superposition,[status(thm)],[c_998,c_1362]) ).
tcf(c_40577,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) != X1 ) ),
inference(superposition,[status(thm)],[c_1104,c_1362]) ).
tcf(c_40579,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6613,c_1362]) ).
tcf(c_40582,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) != X0 ) ),
inference(superposition,[status(thm)],[c_25380,c_1362]) ).
tcf(c_40583,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) != X1 ) ),
inference(superposition,[status(thm)],[c_22336,c_1362]) ).
tcf(c_40584,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_26127,c_1362]) ).
tcf(c_40586,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( X0 != X1 ) ),
inference(superposition,[status(thm)],[c_22947,c_1362]) ).
tcf(c_40591,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( X0 != X1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40586,c_1350,c_1046]) ).
tcf(c_40594,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) != X1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40583,c_1350,c_1046]) ).
tcf(c_40601,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40584,c_1350,c_1046]) ).
tcf(c_40604,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) != X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40582,c_1350,c_1046]) ).
tcf(c_40623,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40579,c_1350,c_1046]) ).
tcf(c_40686,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_5904]) ).
tcf(c_40687,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_919,c_5904]) ).
tcf(c_40688,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_918,c_5904]) ).
tcf(c_40690,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X2 )
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_999,c_5904]) ).
tcf(c_40691,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ( c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_998,c_5904]) ).
tcf(c_40695,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_5328,c_5904]) ).
tcf(c_40696,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_5904]) ).
tcf(c_40697,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_5328,c_5904]) ).
tcf(c_40710,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40697,c_21245]) ).
tcf(c_40713,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40695,c_1090]) ).
tcf(c_40757,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_23164,c_21819]) ).
tcf(c_40758,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_23164,c_21631]) ).
tcf(c_40759,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_23164,c_1106]) ).
tcf(c_40760,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_23164,c_25164]) ).
tcf(c_40761,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_23164,c_25065]) ).
tcf(c_40764,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_23164,c_984]) ).
tcf(c_40766,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_23164,c_910]) ).
tcf(c_40767,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_23164,c_909]) ).
tcf(c_40802,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_23184]) ).
tcf(c_40805,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_23184]) ).
tcf(c_40806,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_23184]) ).
tcf(c_40809,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_23184,c_1106]) ).
tcf(c_40813,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_23184,c_12054]) ).
tcf(c_40814,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_23184,c_23784]) ).
tcf(c_40854,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_23185,c_21819]) ).
tcf(c_40855,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_23185,c_21631]) ).
tcf(c_40856,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_23185,c_1106]) ).
tcf(c_40857,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_23185,c_25164]) ).
tcf(c_40858,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_23185,c_25065]) ).
tcf(c_40861,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_23185,c_984]) ).
tcf(c_40863,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_23185,c_910]) ).
tcf(c_40864,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_23185,c_909]) ).
tcf(c_40873,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_40864,c_27577]) ).
tcf(c_40934,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1190,c_24488]) ).
tcf(c_40935,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1266,c_24488]) ).
tcf(c_40937,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1181,c_24488]) ).
tcf(c_40938,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_24488]) ).
tcf(c_40939,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1171,c_24488]) ).
tcf(c_40940,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1170,c_24488]) ).
tcf(c_40941,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1169,c_24488]) ).
tcf(c_40942,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1168,c_24488]) ).
tcf(c_40945,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21441,c_24488]) ).
tcf(c_40947,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21972,c_24488]) ).
tcf(c_40951,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22486,c_24488]) ).
tcf(c_40952,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22513,c_24488]) ).
tcf(c_40953,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22511,c_24488]) ).
tcf(c_40954,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22608,c_24488]) ).
tcf(c_40955,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22640,c_24488]) ).
tcf(c_40960,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35518,c_24488]) ).
tcf(c_40961,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34272,c_24488]) ).
tcf(c_40962,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34105,c_24488]) ).
tcf(c_40963,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_34336,c_24488]) ).
tcf(c_40964,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26062,c_24488]) ).
tcf(c_40966,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24213,c_24488]) ).
tcf(c_40967,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24400,c_24488]) ).
tcf(c_40968,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25978,c_24488]) ).
tcf(c_40969,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26727,c_24488]) ).
tcf(c_40970,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24546,c_24488]) ).
tcf(c_40972,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24866,c_24488]) ).
tcf(c_40973,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24895,c_24488]) ).
tcf(c_40974,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25280,c_24488]) ).
tcf(c_40975,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25577,c_24488]) ).
tcf(c_40976,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25975,c_24488]) ).
tcf(c_40977,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26303,c_24488]) ).
tcf(c_40978,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34270,c_24488]) ).
tcf(c_40979,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34265,c_24488]) ).
tcf(c_40980,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35635,c_24488]) ).
tcf(c_40981,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34271,c_24488]) ).
tcf(c_40983,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6543,c_24488]) ).
tcf(c_40984,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21455,c_24488]) ).
tcf(c_40986,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25368,c_24488]) ).
tcf(c_41001,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_40954,c_10416,c_30217]) ).
tcf(c_41002,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_40942,c_33421]) ).
tcf(c_41003,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_41002,c_964]) ).
tcf(c_41008,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_40960,c_32620]) ).
tcf(c_41015,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_40979,c_10416]) ).
tcf(c_41018,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_40978,c_33421]) ).
tcf(c_41027,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_40967,c_21461]) ).
tcf(c_41036,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40938,c_964]) ).
tcf(c_41079,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex) ) ),
inference(demodulation,[status(thm)],[c_12535,c_34460]) ).
tcf(c_41091,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1 ) ),
inference(superposition,[status(thm)],[c_38172,c_41079]) ).
tcf(c_41092,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6492,c_41079]) ).
tcf(c_41093,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_41079]) ).
tcf(c_41094,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6654,c_41079]) ).
tcf(c_41095,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21253,c_41079]) ).
tcf(c_41096,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22175,c_41079]) ).
tcf(c_41097,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21435,c_41079]) ).
tcf(c_41098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6415,c_41079]) ).
tcf(c_41100,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6648,c_41079]) ).
tcf(c_41102,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_41079]) ).
tcf(c_41103,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6654,c_41079]) ).
tcf(c_41104,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10416,c_41079]) ).
tcf(c_41105,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21253,c_41079]) ).
tcf(c_41106,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22175,c_41079]) ).
tcf(c_41107,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21435,c_41079]) ).
tcf(c_41108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_41079,c_1173]) ).
tcf(c_41109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_41079,c_1172]) ).
tcf(c_41110,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_41079,c_1168]) ).
tcf(c_41111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_41079,c_1049]) ).
tcf(c_41112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_41079,c_1170]) ).
tcf(c_41114,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_41079,c_1053]) ).
tcf(c_41115,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_41079,c_1053]) ).
tcf(c_41116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_41079,c_1050]) ).
tcf(c_41117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_41079,c_1050]) ).
tcf(c_41118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_41079,c_1171]) ).
tcf(c_41119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_41079,c_1049]) ).
tcf(c_41120,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_41079,c_38577]) ).
tcf(c_41121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_41079,c_37729]) ).
tcf(c_41122,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_41079,c_10640]) ).
tcf(c_41123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_41079,c_26571]) ).
tcf(c_41124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_41079,c_26409]) ).
tcf(c_41125,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_41079,c_24284]) ).
tcf(c_41126,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_41079,c_24064]) ).
tcf(c_41127,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_41079,c_24002]) ).
tcf(c_41128,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_41079,c_22643]) ).
tcf(c_41131,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_41079,c_22227]) ).
tcf(c_41132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X4,X4,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X4,X4,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X4,X4,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_41079,c_6683]) ).
tcf(c_41133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X4,X4,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X4,X4,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X4,X4,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_41079,c_6619]) ).
tcf(c_41134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_41079,c_12533]) ).
tcf(c_41135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_41079,c_12528]) ).
tcf(c_41136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_41079,c_25975]) ).
tcf(c_41137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X4,X4,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X4,X4,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_41079,c_6716]) ).
tcf(c_41138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X4,X4,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X4,X4,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X4,X4,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_41079,c_6683]) ).
tcf(c_41139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X4,X4,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X4,X4,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X4,X4,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_41079,c_6619]) ).
tcf(c_41140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_41079,c_24895]) ).
tcf(c_41141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_41079,c_22513]) ).
tcf(c_41142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_41079,c_26303]) ).
tcf(c_41144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_41079,c_6683]) ).
tcf(c_41145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_41079,c_6619]) ).
tcf(c_41146,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_41079,c_21375]) ).
tcf(c_41147,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_41079,c_21402]) ).
tcf(c_41148,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_41079,c_37729]) ).
tcf(c_41150,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_41079,c_38229]) ).
tcf(c_41151,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_41079,c_24023]) ).
tcf(c_41152,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_41079,c_22655]) ).
tcf(c_41153,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_41079,c_22325]) ).
tcf(c_41154,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_41079,c_21512]) ).
tcf(c_41155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_41079,c_24866]) ).
tcf(c_41156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_41079,c_22486]) ).
tcf(c_41157,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_41079,c_25280]) ).
tcf(c_41158,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_41079,c_22511]) ).
tcf(c_41159,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_41079,c_22444]) ).
tcf(c_41160,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_41079,c_38172]) ).
tcf(c_41184,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41115,c_1046]) ).
tcf(c_41187,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41114,c_1046]) ).
tcf(c_41227,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_41096,c_22175]) ).
tcf(c_41230,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_41095,c_21253]) ).
tcf(c_41253,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41119,c_1046]) ).
tcf(c_41257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41117,c_1046]) ).
tcf(c_41261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41116,c_1046]) ).
tcf(c_41265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41111,c_1046]) ).
tcf(c_41505,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oone__class_Oone(tc_nat) = X0 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_6124]) ).
tcf(c_41506,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_919,c_6124]) ).
tcf(c_41507,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_918,c_6124]) ).
tcf(c_41509,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_999,c_6124]) ).
tcf(c_41510,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oone__class_Oone(tc_nat) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_998,c_6124]) ).
tcf(c_41515,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oone__class_Oone(tc_nat) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_6124]) ).
tcf(c_41546,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_6134]) ).
tcf(c_41547,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_919,c_6134]) ).
tcf(c_41548,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_918,c_6134]) ).
tcf(c_41550,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oone__class_Oone(tc_nat) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X2 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_999,c_6134]) ).
tcf(c_41551,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_998,c_6134]) ).
tcf(c_41555,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_5328,c_6134]) ).
tcf(c_41556,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_6134]) ).
tcf(c_41557,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_5328,c_6134]) ).
tcf(c_41576,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41557,c_21245]) ).
tcf(c_41579,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41555,c_1090]) ).
tcf(c_41612,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_903,c_6144]) ).
tcf(c_41615,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_6144]) ).
tcf(c_41617,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1128,c_6144]) ).
tcf(c_41618,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_6144]) ).
tcf(c_41619,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_6144]) ).
tcf(c_41620,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_6144,c_21819]) ).
tcf(c_41621,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_6144,c_21631]) ).
tcf(c_41622,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_6144,c_1106]) ).
tcf(c_41623,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_6144,c_25164]) ).
tcf(c_41624,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_6144,c_25065]) ).
tcf(c_41625,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_6144,c_21595]) ).
tcf(c_41626,plain,
! [X0: $i,X1: $i] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_6144,c_12054]) ).
tcf(c_41627,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_6144,c_912]) ).
tcf(c_41628,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_6144,c_923]) ).
tcf(c_41629,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_6144,c_21820]) ).
tcf(c_41630,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_6144,c_21610]) ).
tcf(c_41631,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_6144,c_21592]) ).
tcf(c_41632,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_6144,c_987]) ).
tcf(c_41633,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_6144,c_910]) ).
tcf(c_41634,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_6144,c_909]) ).
tcf(c_41774,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_915,c_6154]) ).
tcf(c_41776,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_6154]) ).
tcf(c_41779,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_6154]) ).
tcf(c_41780,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_6154]) ).
tcf(c_41781,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_6154,c_21819]) ).
tcf(c_41782,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_6154,c_21631]) ).
tcf(c_41783,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_6154,c_1106]) ).
tcf(c_41784,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_6154,c_25164]) ).
tcf(c_41785,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_6154,c_25065]) ).
tcf(c_41786,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_6154,c_21595]) ).
tcf(c_41787,plain,
! [X0: $i,X1: $i] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_6154,c_12054]) ).
tcf(c_41788,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_6154,c_913]) ).
tcf(c_41789,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_6154,c_924]) ).
tcf(c_41790,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_6154,c_21820]) ).
tcf(c_41791,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_6154,c_21610]) ).
tcf(c_41792,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_6154,c_21592]) ).
tcf(c_41793,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_6154,c_987]) ).
tcf(c_41864,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_40975,c_6543]) ).
tcf(c_41870,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1190,c_24550]) ).
tcf(c_41872,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1264,c_24550]) ).
tcf(c_41876,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21991,c_24550]) ).
tcf(c_41878,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35518,c_24550]) ).
tcf(c_41879,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34272,c_24550]) ).
tcf(c_41881,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_34336,c_24550]) ).
tcf(c_41882,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26062,c_24550]) ).
tcf(c_41883,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24227,c_24550]) ).
tcf(c_41885,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26727,c_24550]) ).
tcf(c_41887,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24521,c_24550]) ).
tcf(c_41888,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34270,c_24550]) ).
tcf(c_41889,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34265,c_24550]) ).
tcf(c_41890,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35635,c_24550]) ).
tcf(c_41891,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34271,c_24550]) ).
tcf(c_41892,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_35503,c_24550]) ).
tcf(c_41894,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38229,c_24550]) ).
tcf(c_41895,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38577,c_24550]) ).
tcf(c_41897,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38230,c_24550]) ).
tcf(c_41898,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6543,c_24550]) ).
tcf(c_41899,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21455,c_24550]) ).
tcf(c_41901,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25368,c_24550]) ).
tcf(c_41929,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_41887,c_21461]) ).
tcf(c_42038,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1266,c_24659]) ).
tcf(c_42040,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_24659]) ).
tcf(c_42041,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1171,c_24659]) ).
tcf(c_42042,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1170,c_24659]) ).
tcf(c_42043,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1169,c_24659]) ).
tcf(c_42044,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1168,c_24659]) ).
tcf(c_42047,plain,
! [X0: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21441,c_24659]) ).
tcf(c_42048,plain,
! [X0: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21512,c_24659]) ).
tcf(c_42049,plain,
c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21972,c_24659]) ).
tcf(c_42050,plain,
! [X0: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22227,c_24659]) ).
tcf(c_42051,plain,
! [X0: $i,X1: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22486,c_24659]) ).
tcf(c_42052,plain,
! [X0: $i,X1: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22513,c_24659]) ).
tcf(c_42053,plain,
! [X0: $i,X1: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22511,c_24659]) ).
tcf(c_42054,plain,
! [X0: $i,X1: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22608,c_24659]) ).
tcf(c_42055,plain,
! [X0: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22640,c_24659]) ).
tcf(c_42059,plain,
! [X0: $i,X1: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24213,c_24659]) ).
tcf(c_42060,plain,
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24400,c_24659]) ).
tcf(c_42061,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25978,c_24659]) ).
tcf(c_42062,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26727,c_24659]) ).
tcf(c_42064,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25975,c_24659]) ).
tcf(c_42065,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26303,c_24659]) ).
tcf(c_42079,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_42062,c_21461]) ).
tcf(c_42082,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_42065,c_23534,c_33421]) ).
tcf(c_42086,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_42061,c_6543]) ).
tcf(c_42091,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_42038,c_21461]) ).
tcf(c_42093,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_42042,c_23534,c_33421]) ).
tcf(c_42097,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42040,c_964]) ).
tcf(c_42176,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1266,c_42079]) ).
tcf(c_42178,plain,
! [X0: $i] :
( ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_42079]) ).
tcf(c_42192,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22608,c_42079]) ).
tcf(c_42193,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22640,c_42079]) ).
tcf(c_42197,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24213,c_42079]) ).
tcf(c_42212,plain,
! [X0: $i] :
( ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42178,c_964]) ).
tcf(c_42220,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_24668,c_1191]) ).
tcf(c_42222,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24668,c_1265]) ).
tcf(c_42223,plain,
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24668,c_1182]) ).
tcf(c_42226,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_nat),tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24668,c_12546]) ).
tcf(c_42227,plain,
! [X0: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24668,c_12548]) ).
tcf(c_42228,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24668,c_26394]) ).
tcf(c_42229,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24668,c_26574]) ).
tcf(c_42230,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24668,c_26415]) ).
tcf(c_42231,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24668,c_31859]) ).
tcf(c_42244,plain,
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42223,c_1131]) ).
tcf(c_42247,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat),X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42220,c_1131]) ).
tcf(c_42270,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oone__class_Oone(tc_nat) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_6244]) ).
tcf(c_42271,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_919,c_6244]) ).
tcf(c_42272,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_918,c_6244]) ).
tcf(c_42274,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oone__class_Oone(tc_nat) = X2 )
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_999,c_6244]) ).
tcf(c_42275,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oone__class_Oone(tc_nat) = X1 )
| ( c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_998,c_6244]) ).
tcf(c_42280,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oone__class_Oone(tc_nat) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_6244]) ).
tcf(c_42322,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_915,c_907]) ).
tcf(c_42324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) != c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_920,c_907]) ).
tcf(c_42325,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) != X1 ) ),
inference(superposition,[status(thm)],[c_1129,c_907]) ).
tcf(c_42327,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_907]) ).
tcf(c_42328,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X2 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_907]) ).
tcf(c_42337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_42324,c_27577]) ).
tcf(c_42341,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42327,c_1090]) ).
tcf(c_42364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X2 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X3 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X3,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_920,c_908]) ).
tcf(c_42366,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) != X1 ) ),
inference(superposition,[status(thm)],[c_1128,c_908]) ).
tcf(c_42367,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X2 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_908]) ).
tcf(c_42368,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_908]) ).
tcf(c_42377,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42368,c_1090]) ).
tcf(c_42446,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_915,c_922]) ).
tcf(c_42448,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_922]) ).
tcf(c_42451,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_922]) ).
tcf(c_42452,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_922]) ).
tcf(c_42453,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_922,c_21819]) ).
tcf(c_42454,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_922,c_21631]) ).
tcf(c_42455,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_922,c_1106]) ).
tcf(c_42456,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_922,c_25164]) ).
tcf(c_42457,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_922,c_25065]) ).
tcf(c_42459,plain,
! [X0: $i,X1: $i] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_922,c_12054]) ).
tcf(c_42480,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42452,c_1084]) ).
tcf(c_42483,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42451,c_1084]) ).
tcf(c_42500,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat),X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_24688,c_1191]) ).
tcf(c_42501,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat),tc_nat),X0,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24688,c_1267]) ).
tcf(c_42503,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_nat),tc_nat),tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_nat),tc_nat),tc_nat),tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24688,c_12546]) ).
tcf(c_42504,plain,
! [X0: $i] :
( ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24688,c_12548]) ).
tcf(c_42505,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),X0,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24688,c_25971]) ).
tcf(c_42512,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat),X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42500,c_1131]) ).
tcf(c_42529,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_21849,c_24740]) ).
tcf(c_42530,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X1,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_993,c_24740]) ).
tcf(c_42531,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_23185,c_24740]) ).
tcf(c_42533,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_21890,c_24740]) ).
tcf(c_42535,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_23164,c_24740]) ).
tcf(c_42536,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_21849,c_24740]) ).
tcf(c_42537,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_922,c_24740]) ).
tcf(c_42541,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_903,c_24740]) ).
tcf(c_42544,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_24740]) ).
tcf(c_42547,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_24740]) ).
tcf(c_42548,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_24740]) ).
tcf(c_42549,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(light_normalisation,[status(thm)],[c_42533,c_903]) ).
tcf(c_42552,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_42531,c_903]) ).
tcf(c_42615,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_21849,c_24746]) ).
tcf(c_42616,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_993,c_24746]) ).
tcf(c_42617,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_991,c_24746]) ).
tcf(c_42618,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_990,c_24746]) ).
tcf(c_42619,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1099,c_24746]) ).
tcf(c_42620,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_21890,c_24746]) ).
tcf(c_42621,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_21888,c_24746]) ).
tcf(c_42625,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_903,c_24746]) ).
tcf(c_42628,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_24746]) ).
tcf(c_42631,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_24746]) ).
tcf(c_42632,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_24746]) ).
tcf(c_42666,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_21849,c_24798]) ).
tcf(c_42667,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X0,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_993,c_24798]) ).
tcf(c_42668,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_23185,c_24798]) ).
tcf(c_42670,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_21890,c_24798]) ).
tcf(c_42672,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_23164,c_24798]) ).
tcf(c_42673,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),X1,tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_21849,c_24798]) ).
tcf(c_42681,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_24798]) ).
tcf(c_42684,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_24798]) ).
tcf(c_42685,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_24798]) ).
tcf(c_42738,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_21849,c_24804]) ).
tcf(c_42739,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_993,c_24804]) ).
tcf(c_42740,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_991,c_24804]) ).
tcf(c_42741,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_990,c_24804]) ).
tcf(c_42742,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1099,c_24804]) ).
tcf(c_42743,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_21890,c_24804]) ).
tcf(c_42744,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_21888,c_24804]) ).
tcf(c_42751,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_24804]) ).
tcf(c_42754,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_24804]) ).
tcf(c_42755,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_24804]) ).
tcf(c_42787,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X0,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_993,c_25123]) ).
tcf(c_42788,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_23185,c_25123]) ).
tcf(c_42790,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_21890,c_25123]) ).
tcf(c_42791,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_977,c_25123]) ).
tcf(c_42792,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_23164,c_25123]) ).
tcf(c_42793,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),X1,tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_21849,c_25123]) ).
tcf(c_42817,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_25123]) ).
tcf(c_42818,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_919,c_25123]) ).
tcf(c_42819,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_918,c_25123]) ).
tcf(c_42820,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_997,c_25123]) ).
tcf(c_42821,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_999,c_25123]) ).
tcf(c_42822,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_998,c_25123]) ).
tcf(c_42826,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_25123]) ).
tcf(c_42827,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_25123]) ).
tcf(c_42828,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_25123]) ).
tcf(c_42843,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42787,c_974]) ).
tcf(c_42893,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_42843,c_21819]) ).
tcf(c_42894,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_42843,c_21631]) ).
tcf(c_42895,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X2,X0,tc_nat) = X2 )
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_42843,c_1106]) ).
tcf(c_42896,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_42843,c_25164]) ).
tcf(c_42897,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_42843,c_25065]) ).
tcf(c_42900,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_42843,c_984]) ).
tcf(c_42902,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_42843,c_910]) ).
tcf(c_42903,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_42843,c_909]) ).
tcf(c_42905,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_42843,c_24798]) ).
tcf(c_42906,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_42843,c_24740]) ).
tcf(c_42910,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_42843,c_25123]) ).
tcf(c_42998,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21309,c_21250]) ).
tcf(c_42999,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21577,c_21250]) ).
tcf(c_43000,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21309,c_21250]) ).
tcf(c_43001,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21577,c_21250]) ).
tcf(c_43002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_21480]) ).
tcf(c_43003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_25280]) ).
tcf(c_43004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_22511]) ).
tcf(c_43006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_37729]) ).
tcf(c_43007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21250,c_25978]) ).
tcf(c_43008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_37981]) ).
tcf(c_43009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21250,c_26412]) ).
tcf(c_43010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_25577]) ).
tcf(c_43011,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_21994]) ).
tcf(c_43012,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_21989]) ).
tcf(c_43013,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex) )
| ( c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21250,c_6746]) ).
tcf(c_43014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) )
| ( c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21250,c_6731]) ).
tcf(c_43015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_22608]) ).
tcf(c_43016,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_22663]) ).
tcf(c_43017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_6701]) ).
tcf(c_43018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_6613]) ).
tcf(c_43019,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_21441]) ).
tcf(c_43020,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_6552]) ).
tcf(c_43021,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_6543]) ).
tcf(c_43022,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_21994]) ).
tcf(c_43023,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_21989]) ).
tcf(c_43024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_37981]) ).
tcf(c_43025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_6701]) ).
tcf(c_43026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_6613]) ).
tcf(c_43027,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21250,c_38230]) ).
tcf(c_43028,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_22441]) ).
tcf(c_43029,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_22666]) ).
tcf(c_43030,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_21442]) ).
tcf(c_43031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_22444]) ).
tcf(c_43032,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_23599]) ).
tcf(c_43033,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_43032,c_10735]) ).
tcf(c_43038,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_43023,c_6415]) ).
tcf(c_43039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_43002,c_37160]) ).
tcf(c_43040,plain,
! [X0: $i,X1: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_43000,c_21309,c_21328]) ).
tcf(c_43041,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_42998,c_21328]) ).
tcf(c_43042,plain,
c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_43001,c_21577,c_21623]) ).
tcf(c_43129,plain,
! [X0: $i,X1: $i] : c_Power_Opower__class_Opower(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1131,c_941]) ).
tcf(c_43130,plain,
! [X0: $i,X1: $i] : c_Power_Opower__class_Opower(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_964,c_941]) ).
tcf(c_43131,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_Power_Opower__class_Opower(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_941]) ).
tcf(c_43179,plain,
! [X0: $i,X1: $i] : c_Power_Opower__class_Opower(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_1131,c_942]) ).
tcf(c_43180,plain,
! [X0: $i,X1: $i] : c_Power_Opower__class_Opower(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_964,c_942]) ).
tcf(c_43181,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)) = c_Power_Opower__class_Opower(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_942]) ).
tcf(c_43191,plain,
! [X0: $i,X1: $i,X2: $i] : c_Polynomial_Opoly(c_Power_Opower__class_Opower(X0,X1,tc_Polynomial_Opoly(tc_nat)),X2,tc_nat) = c_Power_Opower__class_Opower(c_Polynomial_Opoly(X0,X2,tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_1131,c_956]) ).
tcf(c_43192,plain,
! [X0: $i,X1: $i,X2: $i] : c_Polynomial_Opoly(c_Power_Opower__class_Opower(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_Polynomial_Opoly(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_964,c_956]) ).
tcf(c_43193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Polynomial_Opoly(c_Power_Opower__class_Opower(X1,X2,tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))),X3,tc_Polynomial_Opoly(X0)) = c_Power_Opower__class_Opower(c_Polynomial_Opoly(X1,X3,tc_Polynomial_Opoly(X0)),X2,tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_956]) ).
tcf(c_43206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_978]) ).
tcf(c_43207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,X4,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),X4,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_919,c_978]) ).
tcf(c_43208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X4,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),X4,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_918,c_978]) ).
tcf(c_43209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_997,c_978]) ).
tcf(c_43210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,X4,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,X4,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_999,c_978]) ).
tcf(c_43211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X4,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,X4,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_998,c_978]) ).
tcf(c_43213,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_996,c_978]) ).
tcf(c_43214,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_994,c_978]) ).
tcf(c_43215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_978]) ).
tcf(c_43216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_978]) ).
tcf(c_43217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_978]) ).
tcf(c_43219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_978]) ).
tcf(c_43220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X4,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X1,X4,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_919,c_978]) ).
tcf(c_43221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,tc_nat),X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_918,c_978]) ).
tcf(c_43222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_997,c_978]) ).
tcf(c_43223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,X4,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_999,c_978]) ).
tcf(c_43224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X0,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X4,X2,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,X4,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_998,c_978]) ).
tcf(c_43228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_978]) ).
tcf(c_43229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X0,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_978]) ).
tcf(c_43230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_978]) ).
tcf(c_43231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X4,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_978,c_21819]) ).
tcf(c_43232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X4,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_978,c_21631]) ).
tcf(c_43233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X4,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X4,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_978,c_1106]) ).
tcf(c_43234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X4,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_978,c_25164]) ).
tcf(c_43235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(X4,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_978,c_25065]) ).
tcf(c_43236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_978,c_21595]) ).
tcf(c_43237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_978,c_12054]) ).
tcf(c_43241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_978,c_21592]) ).
tcf(c_43242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_978,c_987]) ).
tcf(c_43247,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_978,c_1100]) ).
tcf(c_43249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ c_HOL_Oord__class_Oless(X3,X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_978,c_21615]) ).
tcf(c_43250,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_978,c_25123]) ).
tcf(c_43251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X0,tc_nat) ),
inference(light_normalisation,[status(thm)],[c_43249,c_28498]) ).
tcf(c_43453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6701,c_25739]) ).
tcf(c_43455,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22588,c_25739]) ).
tcf(c_43456,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27447,c_25739]) ).
tcf(c_43457,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25685,c_25739]) ).
tcf(c_43458,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22903,c_25739]) ).
tcf(c_43459,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21469,c_25739]) ).
tcf(c_43460,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22768,c_25739]) ).
tcf(c_43461,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25686,c_25739]) ).
tcf(c_43462,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25699,c_25739]) ).
tcf(c_43463,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25703,c_25739]) ).
tcf(c_43464,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6492,c_25739]) ).
tcf(c_43465,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_25739]) ).
tcf(c_43467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6683,c_25739]) ).
tcf(c_43468,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_25739]) ).
tcf(c_43471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6701,c_25739]) ).
tcf(c_43473,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22588,c_25739]) ).
tcf(c_43474,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27447,c_25739]) ).
tcf(c_43475,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25685,c_25739]) ).
tcf(c_43476,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22903,c_25739]) ).
tcf(c_43477,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21469,c_25739]) ).
tcf(c_43478,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22768,c_25739]) ).
tcf(c_43479,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25686,c_25739]) ).
tcf(c_43480,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25699,c_25739]) ).
tcf(c_43481,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25703,c_25739]) ).
tcf(c_43482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25739,c_1191]) ).
tcf(c_43495,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_43475,c_27243]) ).
tcf(c_43496,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_43474,c_27243]) ).
tcf(c_43498,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_43456,c_27243]) ).
tcf(c_43501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43482,c_964]) ).
tcf(c_43504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_43471,c_6701]) ).
tcf(c_43559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6701,c_25742]) ).
tcf(c_43561,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,c_HOL_Oplus__class_Oplus(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22588,c_25742]) ).
tcf(c_43562,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27447,c_25742]) ).
tcf(c_43563,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25685,c_25742]) ).
tcf(c_43564,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22903,c_25742]) ).
tcf(c_43565,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21469,c_25742]) ).
tcf(c_43566,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,c_HOL_Oplus__class_Oplus(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22768,c_25742]) ).
tcf(c_43567,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25686,c_25742]) ).
tcf(c_43568,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X2,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25699,c_25742]) ).
tcf(c_43569,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25703,c_25742]) ).
tcf(c_43575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6701,c_25742]) ).
tcf(c_43577,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22588,c_25742]) ).
tcf(c_43578,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27447,c_25742]) ).
tcf(c_43579,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25685,c_25742]) ).
tcf(c_43580,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22903,c_25742]) ).
tcf(c_43581,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21469,c_25742]) ).
tcf(c_43582,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22768,c_25742]) ).
tcf(c_43583,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25686,c_25742]) ).
tcf(c_43584,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25699,c_25742]) ).
tcf(c_43585,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25703,c_25742]) ).
tcf(c_43586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25742,c_1191]) ).
tcf(c_43597,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_43579,c_27243]) ).
tcf(c_43598,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_43578,c_27243]) ).
tcf(c_43599,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_43562,c_27243]) ).
tcf(c_43600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43586,c_964]) ).
tcf(c_43603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_43575,c_6701]) ).
tcf(c_43612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6701,c_25743]) ).
tcf(c_43614,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22588,c_25743]) ).
tcf(c_43615,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27447,c_25743]) ).
tcf(c_43616,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25685,c_25743]) ).
tcf(c_43617,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22903,c_25743]) ).
tcf(c_43618,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21469,c_25743]) ).
tcf(c_43619,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22768,c_25743]) ).
tcf(c_43620,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25686,c_25743]) ).
tcf(c_43621,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25699,c_25743]) ).
tcf(c_43622,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25703,c_25743]) ).
tcf(c_43629,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_25743]) ).
tcf(c_43630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_41079,c_25743]) ).
tcf(c_43631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6701,c_25743]) ).
tcf(c_43633,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22588,c_25743]) ).
tcf(c_43634,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27447,c_25743]) ).
tcf(c_43635,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25685,c_25743]) ).
tcf(c_43636,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22903,c_25743]) ).
tcf(c_43637,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21469,c_25743]) ).
tcf(c_43638,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22768,c_25743]) ).
tcf(c_43639,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25686,c_25743]) ).
tcf(c_43640,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25699,c_25743]) ).
tcf(c_43641,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25703,c_25743]) ).
tcf(c_43642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25743,c_1191]) ).
tcf(c_43655,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_43635,c_27243]) ).
tcf(c_43656,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_43634,c_27243]) ).
tcf(c_43658,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_43615,c_27243]) ).
tcf(c_43659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43642,c_964]) ).
tcf(c_43662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_43631,c_6701]) ).
tcf(c_43778,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_26166]) ).
tcf(c_43779,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_919,c_26166]) ).
tcf(c_43780,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_918,c_26166]) ).
tcf(c_43783,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_998,c_26166]) ).
tcf(c_43787,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_5328,c_26166]) ).
tcf(c_43788,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_26166]) ).
tcf(c_43789,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_5328,c_26166]) ).
tcf(c_43792,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_26166,c_1106]) ).
tcf(c_43796,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_26166,c_12054]) ).
tcf(c_43874,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_902,c_26335]) ).
tcf(c_43875,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_903,c_26335]) ).
tcf(c_43879,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_1129,c_26335]) ).
tcf(c_43884,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_10643,c_26335]) ).
tcf(c_43887,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21375,c_26335]) ).
tcf(c_43892,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_24109,c_26335]) ).
tcf(c_43893,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_24387,c_26335]) ).
tcf(c_43895,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_37317,c_26335]) ).
tcf(c_43896,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_26691,c_26335]) ).
tcf(c_43897,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_26936,c_26335]) ).
tcf(c_43899,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_37316,c_26335]) ).
tcf(c_43900,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38172,c_26335]) ).
tcf(c_43901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_41079,c_26335]) ).
tcf(c_43902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),X4,X3) ),
inference(superposition,[status(thm)],[c_26335,c_1191]) ).
tcf(c_43903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),X3,X0),X0),X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_26335,c_1265]) ).
tcf(c_43904,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_26335,c_1182]) ).
tcf(c_43905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X3,X1,X0),X4,X0),X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_26335,c_1173]) ).
tcf(c_43906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_26335,c_1172]) ).
tcf(c_43910,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26335,c_26394]) ).
tcf(c_43914,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26335,c_26391]) ).
tcf(c_43916,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26335,c_24184]) ).
tcf(c_43968,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_41079,c_26336]) ).
tcf(c_43969,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_902,c_26336]) ).
tcf(c_43970,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_903,c_26336]) ).
tcf(c_43973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),X3,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_26336]) ).
tcf(c_43977,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_26336]) ).
tcf(c_43978,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_26336]) ).
tcf(c_43979,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_10643,c_26336]) ).
tcf(c_43980,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6607,c_26336]) ).
tcf(c_43983,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21402,c_26336]) ).
tcf(c_43987,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_24109,c_26336]) ).
tcf(c_43988,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_24387,c_26336]) ).
tcf(c_43991,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),X1,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_26691,c_26336]) ).
tcf(c_43992,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),X0,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_26936,c_26336]) ).
tcf(c_43995,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38172,c_26336]) ).
tcf(c_43996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_41079,c_26336]) ).
tcf(c_43997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X4,X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),X4,X2) ),
inference(superposition,[status(thm)],[c_26336,c_1191]) ).
tcf(c_43998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0),X3,X0),X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_26336,c_1265]) ).
tcf(c_43999,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_26336,c_1182]) ).
tcf(c_44000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0),X4,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_26336,c_1173]) ).
tcf(c_44001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),X4,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_26336,c_1172]) ).
tcf(c_44002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26336,c_12546]) ).
tcf(c_44003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26336,c_12548]) ).
tcf(c_44004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_26336,c_12552]) ).
tcf(c_44005,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26336,c_26394]) ).
tcf(c_44006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26336,c_26412]) ).
tcf(c_44007,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26336,c_42079]) ).
tcf(c_44008,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26336,c_24659]) ).
tcf(c_44009,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26336,c_26391]) ).
tcf(c_44010,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26336,c_24488]) ).
tcf(c_44012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26336,c_26571]) ).
tcf(c_44013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26336,c_26409]) ).
tcf(c_44014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26336,c_26574]) ).
tcf(c_44015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X2,tc_nat),X3,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26336,c_26415]) ).
tcf(c_44016,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26336,c_31859]) ).
tcf(c_44021,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_44009,c_964]) ).
tcf(c_44022,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),X2,tc_nat),tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_44005,c_1131]) ).
tcf(c_44031,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),X2,tc_nat),tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_44016,c_1131]) ).
tcf(c_44032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X2,tc_nat),X3,tc_nat),tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_44015,c_1131]) ).
tcf(c_44033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),X3,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(light_normalisation,[status(thm)],[c_44014,c_27577]) ).
tcf(c_44034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),X3,tc_nat),tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_44033,c_1131]) ).
tcf(c_44035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_44013,c_964]) ).
tcf(c_44036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_44012,c_38490]) ).
tcf(c_44037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_44036,c_964]) ).
tcf(c_44038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_44006,c_34476]) ).
tcf(c_44039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_44038,c_964]) ).
tcf(c_44044,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_43978,c_1131]) ).
tcf(c_44045,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_44010,c_33421]) ).
tcf(c_44046,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_44045,c_964]) ).
tcf(c_44049,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(light_normalisation,[status(thm)],[c_44003,c_27577]) ).
tcf(c_44059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43996,c_964]) ).
tcf(c_44062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43968,c_964]) ).
tcf(c_44065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(light_normalisation,[status(thm)],[c_43973,c_27589]) ).
tcf(c_44066,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_43977,c_1131]) ).
tcf(c_44067,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(light_normalisation,[status(thm)],[c_44004,c_24386]) ).
tcf(c_44068,plain,
! [X0: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(light_normalisation,[status(thm)],[c_44067,c_24387]) ).
tcf(c_44069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_44002,c_1131]) ).
tcf(c_44134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X0,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_981]) ).
tcf(c_44135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X4,tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X3,X4,tc_nat) ) ),
inference(superposition,[status(thm)],[c_919,c_981]) ).
tcf(c_44136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X4,tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) != c_HOL_Oplus__class_Oplus(X3,X4,tc_nat) ) ),
inference(superposition,[status(thm)],[c_918,c_981]) ).
tcf(c_44137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X1,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat) ) ),
inference(superposition,[status(thm)],[c_997,c_981]) ).
tcf(c_44138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X4,tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X3,X4,tc_nat) ) ),
inference(superposition,[status(thm)],[c_999,c_981]) ).
tcf(c_44139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_HOL_Oord__class_Oless(X1,X4,tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X3,X4,tc_nat) ) ),
inference(superposition,[status(thm)],[c_998,c_981]) ).
tcf(c_44142,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != X2 ) ),
inference(superposition,[status(thm)],[c_994,c_981]) ).
tcf(c_44143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X0,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat) ) ),
inference(superposition,[status(thm)],[c_5328,c_981]) ).
tcf(c_44144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X1,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_981]) ).
tcf(c_44145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X0,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat) ) ),
inference(superposition,[status(thm)],[c_5328,c_981]) ).
tcf(c_44147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X3,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_981]) ).
tcf(c_44148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X4,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X3,X4,tc_nat) ) ),
inference(superposition,[status(thm)],[c_919,c_981]) ).
tcf(c_44149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X4,tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) != c_HOL_Oplus__class_Oplus(X3,X4,tc_nat) ) ),
inference(superposition,[status(thm)],[c_918,c_981]) ).
tcf(c_44150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X0,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat) ) ),
inference(superposition,[status(thm)],[c_997,c_981]) ).
tcf(c_44151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_HOL_Oord__class_Oless(X3,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X4,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X3,X4,tc_nat) ) ),
inference(superposition,[status(thm)],[c_999,c_981]) ).
tcf(c_44152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X4,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X3,X4,tc_nat) ) ),
inference(superposition,[status(thm)],[c_998,c_981]) ).
tcf(c_44154,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != X2 ) ),
inference(superposition,[status(thm)],[c_996,c_981]) ).
tcf(c_44155,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != X2 ) ),
inference(superposition,[status(thm)],[c_994,c_981]) ).
tcf(c_44156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X3,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat) ) ),
inference(superposition,[status(thm)],[c_5328,c_981]) ).
tcf(c_44157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_981]) ).
tcf(c_44158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X3,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat) ) ),
inference(superposition,[status(thm)],[c_5328,c_981]) ).
tcf(c_44163,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != X2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44154,c_983]) ).
tcf(c_44344,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_nat) = X2 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) != X0 ) ),
inference(superposition,[status(thm)],[c_997,c_1017]) ).
tcf(c_44346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Ouminus__class_Ouminus(X3,tc_nat) )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat) != X2 ) ),
inference(superposition,[status(thm)],[c_999,c_1017]) ).
tcf(c_44347,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X2,tc_nat) = X1 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != X0 ) ),
inference(superposition,[status(thm)],[c_998,c_1017]) ).
tcf(c_44349,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != X0 ) ),
inference(superposition,[status(thm)],[c_994,c_1017]) ).
tcf(c_44351,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_nat) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_5328,c_1017]) ).
tcf(c_44352,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = X2 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) != X0 ) ),
inference(superposition,[status(thm)],[c_22336,c_1017]) ).
tcf(c_44354,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) != X0 ) ),
inference(superposition,[status(thm)],[c_26127,c_1017]) ).
tcf(c_44355,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) != X0 ) ),
inference(superposition,[status(thm)],[c_21412,c_1017]) ).
tcf(c_44356,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != X0 ) ),
inference(superposition,[status(thm)],[c_26924,c_1017]) ).
tcf(c_44357,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_nat)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) )
| ~ class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_nat)) != X0 ) ),
inference(superposition,[status(thm)],[c_37535,c_1017]) ).
tcf(c_44359,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) != X1 ) ),
inference(superposition,[status(thm)],[c_1105,c_1017]) ).
tcf(c_44360,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_919,c_1017]) ).
tcf(c_44361,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X1,X3,tc_nat) ) ),
inference(superposition,[status(thm)],[c_918,c_1017]) ).
tcf(c_44362,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_nat) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != X2 ) ),
inference(superposition,[status(thm)],[c_997,c_1017]) ).
tcf(c_44363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X3,tc_nat) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_999,c_1017]) ).
tcf(c_44364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat) != X2 ) ),
inference(superposition,[status(thm)],[c_998,c_1017]) ).
tcf(c_44366,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != X1 ) ),
inference(superposition,[status(thm)],[c_996,c_1017]) ).
tcf(c_44367,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_nat) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_994,c_1017]) ).
tcf(c_44368,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat) != X1 ) ),
inference(superposition,[status(thm)],[c_5328,c_1017]) ).
tcf(c_44369,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat) != X2 ) ),
inference(superposition,[status(thm)],[c_1104,c_1017]) ).
tcf(c_44370,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) != X1 ) ),
inference(superposition,[status(thm)],[c_5328,c_1017]) ).
tcf(c_44371,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6613,c_1017]) ).
tcf(c_44373,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) != X1 ) ),
inference(superposition,[status(thm)],[c_21386,c_1017]) ).
tcf(c_44374,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != X1 ) ),
inference(superposition,[status(thm)],[c_25380,c_1017]) ).
tcf(c_44375,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != X2 ) ),
inference(superposition,[status(thm)],[c_22336,c_1017]) ).
tcf(c_44376,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_26127,c_1017]) ).
tcf(c_44378,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) != X2 ) ),
inference(superposition,[status(thm)],[c_22947,c_1017]) ).
tcf(c_44379,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != X1 ) ),
inference(superposition,[status(thm)],[c_27119,c_1017]) ).
tcf(c_44380,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_26924,c_1017]) ).
tcf(c_44381,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_nat)) != X1 ) ),
inference(superposition,[status(thm)],[c_37458,c_1017]) ).
tcf(c_44382,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_nat)) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_nat)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) ) ),
inference(superposition,[status(thm)],[c_37535,c_1017]) ).
tcf(c_44383,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) != X1 ) ),
inference(light_normalisation,[status(thm)],[c_44373,c_21455]) ).
tcf(c_44391,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) != X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44355,c_1011]) ).
tcf(c_44397,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) != X2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44378,c_1011]) ).
tcf(c_44400,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != X2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44375,c_1011]) ).
tcf(c_44406,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = X2 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != X0 ) ),
inference(light_normalisation,[status(thm)],[c_44352,c_39797]) ).
tcf(c_44407,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44406,c_1011]) ).
tcf(c_44413,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X0,tc_nat) = X2 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != X1 ) ),
inference(light_normalisation,[status(thm)],[c_44344,c_28498]) ).
tcf(c_44426,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != X1 ) ),
inference(light_normalisation,[status(thm)],[c_44379,c_23752]) ).
tcf(c_44430,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44376,c_1011]) ).
tcf(c_44433,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != X1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44374,c_1011]) ).
tcf(c_44442,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) )
| ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) != X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44354,c_1011]) ).
tcf(c_44469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44371,c_1011]) ).
tcf(c_44611,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__0(tc_nat)
| ( c_Polynomial_OpCons(X0,X1,tc_nat) != X1 ) ),
inference(superposition,[status(thm)],[c_21422,c_1055]) ).
tcf(c_44612,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex)
| ( c_Polynomial_OpCons(X0,X1,tc_Complex_Ocomplex) != X1 ) ),
inference(superposition,[status(thm)],[c_21423,c_1055]) ).
tcf(c_44613,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__0(tc_nat)
| ( c_Polynomial_OpCons(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) ) ),
inference(superposition,[status(thm)],[c_22347,c_1055]) ).
tcf(c_44614,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex)
| ( c_Polynomial_OpCons(X0,X1,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_22348,c_1055]) ).
tcf(c_44617,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_nat))) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(tc_nat))
| ( c_Polynomial_OpCons(X0,X1,tc_Polynomial_Opoly(tc_nat)) != X1 ) ),
inference(superposition,[status(thm)],[c_37548,c_1055]) ).
tcf(c_44618,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_Polynomial_OpCons(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != X1 ) ),
inference(superposition,[status(thm)],[c_37549,c_1055]) ).
tcf(c_44619,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X1 )
| ( c_Polynomial_OpCons(X0,X1,tc_Complex_Ocomplex) != X1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44612,c_1257]) ).
tcf(c_44622,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = X1 )
| ( c_Polynomial_OpCons(X0,X1,tc_nat) != X1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44611,c_1258]) ).
tcf(c_44625,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X1 )
| ( c_Polynomial_OpCons(X0,X1,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44614,c_1257]) ).
tcf(c_44628,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = X1 )
| ( c_Polynomial_OpCons(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44613,c_1258]) ).
tcf(c_44648,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_964,c_1122]) ).
tcf(c_44649,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)),X2,tc_Polynomial_Opoly(X0)) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_1122]) ).
tcf(c_44656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_26434,c_34526]) ).
tcf(c_44657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_26435,c_38490]) ).
tcf(c_44662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_26438]) ).
tcf(c_44663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22325,c_26438]) ).
tcf(c_44673,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21375,c_26438]) ).
tcf(c_44674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_26438]) ).
tcf(c_44678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_26438]) ).
tcf(c_44679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_41079,c_26438]) ).
tcf(c_44680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X4,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26438,c_1191]) ).
tcf(c_44685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26438,c_26412]) ).
tcf(c_44686,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26438,c_42079]) ).
tcf(c_44687,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26438,c_24659]) ).
tcf(c_44688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26438,c_26391]) ).
tcf(c_44689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26438,c_24488]) ).
tcf(c_44690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26438,c_24184]) ).
tcf(c_44691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26438,c_26571]) ).
tcf(c_44692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26438,c_26409]) ).
tcf(c_44695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X4,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44680,c_964]) ).
tcf(c_44742,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23285,c_26504]) ).
tcf(c_44753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X3)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),X4,X3) ),
inference(superposition,[status(thm)],[c_26504,c_1191]) ).
tcf(c_44754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X1,X0),X0),X0),X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_26504,c_1265]) ).
tcf(c_44755,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X0),X0),X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_26504,c_1182]) ).
tcf(c_44756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X4,X1,X0),X0),X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_26504,c_1173]) ).
tcf(c_44757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X1,X4,X0),X0),X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_26504,c_1172]) ).
tcf(c_44760,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_26504,c_12552]) ).
tcf(c_44761,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26504,c_26394]) ).
tcf(c_44765,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26504,c_26391]) ).
tcf(c_44853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_41079,c_26505]) ).
tcf(c_44862,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_26505]) ).
tcf(c_44863,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_26505]) ).
tcf(c_44871,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23285,c_26505]) ).
tcf(c_44881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_41079,c_26505]) ).
tcf(c_44882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),X4,X2) ),
inference(superposition,[status(thm)],[c_26505,c_1191]) ).
tcf(c_44883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0),X3,X0),X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_26505,c_1265]) ).
tcf(c_44884,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_26505,c_1182]) ).
tcf(c_44885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0),X4,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_26505,c_1173]) ).
tcf(c_44886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0),X4,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_26505,c_1172]) ).
tcf(c_44887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),tc_nat),X2,tc_nat) = c_Divides_Odiv__class_Omod(X0,X2,tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26505,c_12546]) ).
tcf(c_44888,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26505,c_12548]) ).
tcf(c_44889,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_26505,c_12552]) ).
tcf(c_44890,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26505,c_26394]) ).
tcf(c_44891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26505,c_26412]) ).
tcf(c_44892,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26505,c_42079]) ).
tcf(c_44893,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26505,c_24659]) ).
tcf(c_44894,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26505,c_26391]) ).
tcf(c_44895,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26505,c_24488]) ).
tcf(c_44896,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26505,c_24184]) ).
tcf(c_44898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26505,c_26409]) ).
tcf(c_44900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),X3,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26505,c_26415]) ).
tcf(c_44901,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26505,c_31859]) ).
tcf(c_44902,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_44894,c_964]) ).
tcf(c_44903,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_44890,c_1131]) ).
tcf(c_44909,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_44901,c_1131]) ).
tcf(c_44910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),X3,tc_nat),tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_44900,c_1131]) ).
tcf(c_44911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_44898,c_964]) ).
tcf(c_44912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_44891,c_964]) ).
tcf(c_44917,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_44862,c_1131]) ).
tcf(c_44918,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_44895,c_964]) ).
tcf(c_44921,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(light_normalisation,[status(thm)],[c_44888,c_27577]) ).
tcf(c_44928,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44853,c_964]) ).
tcf(c_44931,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_44863,c_1131]) ).
tcf(c_44934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),tc_nat),X2,tc_nat) = c_Divides_Odiv__class_Omod(X0,X2,tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_44887,c_1131]) ).
tcf(c_44935,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44881,c_964]) ).
tcf(c_44995,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_964,c_1123]) ).
tcf(c_44996,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)),X2,tc_Polynomial_Opoly(X0)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X0)),X2,tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_1123]) ).
tcf(c_45010,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_1185]) ).
tcf(c_45011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_919,c_1185]) ).
tcf(c_45012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_918,c_1185]) ).
tcf(c_45013,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_997,c_1185]) ).
tcf(c_45014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_999,c_1185]) ).
tcf(c_45015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_998,c_1185]) ).
tcf(c_45019,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_1185]) ).
tcf(c_45020,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_1185]) ).
tcf(c_45021,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_1185]) ).
tcf(c_45022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6613,c_1185]) ).
tcf(c_45026,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22336,c_1185]) ).
tcf(c_45027,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26127,c_1185]) ).
tcf(c_45029,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22947,c_1185]) ).
tcf(c_45034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X1,X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X0,X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) ),
inference(superposition,[status(thm)],[c_1185,c_1191]) ).
tcf(c_45035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X1),X3,X1)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_1185,c_1265]) ).
tcf(c_45036,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X2,X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
inference(superposition,[status(thm)],[c_1185,c_1182]) ).
tcf(c_45037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X4,X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) ),
inference(superposition,[status(thm)],[c_1185,c_1173]) ).
tcf(c_45038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X4,X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) ),
inference(superposition,[status(thm)],[c_1185,c_1172]) ).
tcf(c_45039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X3,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X0,tc_nat) = c_Divides_Odiv__class_Omod(X3,X0,tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1185,c_12546]) ).
tcf(c_45040,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1185,c_12548]) ).
tcf(c_45041,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_1185,c_12552]) ).
tcf(c_45042,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_1185,c_26394]) ).
tcf(c_45043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1185,c_26412]) ).
tcf(c_45044,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1185,c_42079]) ).
tcf(c_45045,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1185,c_24659]) ).
tcf(c_45046,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1185,c_26391]) ).
tcf(c_45047,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1185,c_24488]) ).
tcf(c_45048,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1185,c_24184]) ).
tcf(c_45049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1185,c_26571]) ).
tcf(c_45050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1185,c_26409]) ).
tcf(c_45051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_1185,c_26574]) ).
tcf(c_45052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_1185,c_26415]) ).
tcf(c_45053,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1185,c_31859]) ).
tcf(c_45054,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45029,c_964]) ).
tcf(c_45058,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45026,c_964]) ).
tcf(c_45062,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45013,c_1131]) ).
tcf(c_45066,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45046,c_964]) ).
tcf(c_45070,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45042,c_1131]) ).
tcf(c_45074,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45027,c_964]) ).
tcf(c_45078,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45044,c_964]) ).
tcf(c_45086,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45048,c_964]) ).
tcf(c_45090,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45040,c_1131]) ).
tcf(c_45094,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45045,c_964]) ).
tcf(c_45103,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45053,c_1131]) ).
tcf(c_45107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45052,c_1131]) ).
tcf(c_45111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45051,c_1131]) ).
tcf(c_45115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45050,c_964]) ).
tcf(c_45119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45049,c_964]) ).
tcf(c_45123,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45047,c_964]) ).
tcf(c_45127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45043,c_964]) ).
tcf(c_45139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45015,c_1131]) ).
tcf(c_45143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45014,c_1131]) ).
tcf(c_45152,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45020,c_1131]) ).
tcf(c_45156,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45010,c_1131]) ).
tcf(c_45160,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45021,c_1131]) ).
tcf(c_45164,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45019,c_1131]) ).
tcf(c_45168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X3,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X0,tc_nat) = c_Divides_Odiv__class_Omod(X3,X0,tc_nat) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45039,c_1131]) ).
tcf(c_45172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45022,c_964]) ).
tcf(c_45176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45012,c_1131]) ).
tcf(c_45180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45011,c_1131]) ).
tcf(c_45250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6701,c_1268]) ).
tcf(c_45252,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22588,c_1268]) ).
tcf(c_45253,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27447,c_1268]) ).
tcf(c_45254,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25685,c_1268]) ).
tcf(c_45255,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22903,c_1268]) ).
tcf(c_45257,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22768,c_1268]) ).
tcf(c_45258,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25686,c_1268]) ).
tcf(c_45259,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25699,c_1268]) ).
tcf(c_45260,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25703,c_1268]) ).
tcf(c_45263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X2)
| ~ class_Ring__and__Field_Ocomm__ring__1(X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X1,X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X0,X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2) ),
inference(superposition,[status(thm)],[c_1268,c_1191]) ).
tcf(c_45264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X1),X3,X1)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_1268,c_1265]) ).
tcf(c_45265,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ominus__class_Ominus(X1,X2,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X2,X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
inference(superposition,[status(thm)],[c_1268,c_1182]) ).
tcf(c_45266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X3,X4,X2),X2)
| ~ class_Ring__and__Field_Ocomm__ring__1(X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X4,X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) ),
inference(superposition,[status(thm)],[c_1268,c_1173]) ).
tcf(c_45267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X3,X4,X2),X2)
| ~ class_Ring__and__Field_Ocomm__ring__1(X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X4,X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) ),
inference(superposition,[status(thm)],[c_1268,c_1172]) ).
tcf(c_45268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X3,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),X0,tc_nat) = c_Divides_Odiv__class_Omod(X3,X0,tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1268,c_12546]) ).
tcf(c_45269,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1268,c_12548]) ).
tcf(c_45270,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_1268,c_12552]) ).
tcf(c_45271,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_1268,c_26394]) ).
tcf(c_45272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1268,c_26412]) ).
tcf(c_45273,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1268,c_42079]) ).
tcf(c_45274,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1268,c_24659]) ).
tcf(c_45275,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1268,c_26391]) ).
tcf(c_45276,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1268,c_24488]) ).
tcf(c_45277,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1268,c_24184]) ).
tcf(c_45278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1268,c_26571]) ).
tcf(c_45279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1268,c_26409]) ).
tcf(c_45280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_1268,c_26574]) ).
tcf(c_45281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_1268,c_26415]) ).
tcf(c_45282,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1268,c_31859]) ).
tcf(c_45283,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45257,c_1263]) ).
tcf(c_45288,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45252,c_1263]) ).
tcf(c_45292,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45275,c_1263]) ).
tcf(c_45300,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45260,c_1263]) ).
tcf(c_45304,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45259,c_1263]) ).
tcf(c_45308,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45258,c_1263]) ).
tcf(c_45312,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45254,c_1263]) ).
tcf(c_45316,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45253,c_1263]) ).
tcf(c_45320,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45273,c_1263]) ).
tcf(c_45324,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45277,c_1263]) ).
tcf(c_45336,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_45274,c_25368]) ).
tcf(c_45337,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45336,c_1263]) ).
tcf(c_45353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45279,c_1263]) ).
tcf(c_45357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45278,c_1263]) ).
tcf(c_45361,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45276,c_1263]) ).
tcf(c_45365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45272,c_1263]) ).
tcf(c_45394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45250,c_1263]) ).
tcf(c_45538,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat)
| ( c_HOL_Oone__class_Oone(tc_nat) = X0 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_993,c_6190]) ).
tcf(c_45551,plain,
! [X0: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_973,c_6190]) ).
tcf(c_45552,plain,
! [X0: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_971,c_6190]) ).
tcf(c_45553,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_978,c_6190]) ).
tcf(c_45564,plain,
! [X0: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45552,c_21245]) ).
tcf(c_45567,plain,
! [X0: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45551,c_1090]) ).
tcf(c_45599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_26595]) ).
tcf(c_45614,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23285,c_26595]) ).
tcf(c_45615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_26595]) ).
tcf(c_45616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_41079,c_26595]) ).
tcf(c_45617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26595,c_1191]) ).
tcf(c_45622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26595,c_26412]) ).
tcf(c_45623,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26595,c_42079]) ).
tcf(c_45624,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26595,c_24659]) ).
tcf(c_45625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26595,c_26391]) ).
tcf(c_45626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26595,c_24488]) ).
tcf(c_45627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26595,c_24184]) ).
tcf(c_45628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26595,c_26571]) ).
tcf(c_45629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26595,c_26409]) ).
tcf(c_45632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45617,c_964]) ).
tcf(c_45692,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_10643,c_26741]) ).
tcf(c_45693,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6607,c_26741]) ).
tcf(c_45694,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21364,c_26741]) ).
tcf(c_45699,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23285,c_26741]) ).
tcf(c_45700,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38172,c_26741]) ).
tcf(c_45701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_41079,c_26741]) ).
tcf(c_45702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26741,c_1191]) ).
tcf(c_45703,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26741,c_1265]) ).
tcf(c_45711,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26741,c_24488]) ).
tcf(c_45727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45702,c_964]) ).
tcf(c_45759,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38172,c_26744]) ).
tcf(c_45760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_41079,c_26744]) ).
tcf(c_45761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26744,c_1191]) ).
tcf(c_45762,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26744,c_1265]) ).
tcf(c_45770,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26744,c_24488]) ).
tcf(c_45783,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45761,c_964]) ).
tcf(c_45805,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_26768]) ).
tcf(c_45807,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_26768,c_1191]) ).
tcf(c_45812,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),X2,tc_nat) = c_Divides_Odiv__class_Omod(X0,X2,tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26768,c_12546]) ).
tcf(c_45813,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26768,c_12548]) ).
tcf(c_45822,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45807,c_1131]) ).
tcf(c_45876,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_26770,c_1191]) ).
tcf(c_45881,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat),tc_nat),X2,tc_nat) = c_Divides_Odiv__class_Omod(X0,X2,tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26770,c_12546]) ).
tcf(c_45882,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0,tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26770,c_12548]) ).
tcf(c_45889,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0,tc_nat),X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45876,c_1131]) ).
tcf(c_45901,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_902,c_26783]) ).
tcf(c_45905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X0,tc_nat),tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_26783]) ).
tcf(c_45907,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1128,c_26783]) ).
tcf(c_45908,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_26783]) ).
tcf(c_45909,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_26783]) ).
tcf(c_45910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_26783,c_1191]) ).
tcf(c_45911,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_26783,c_1265]) ).
tcf(c_45915,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),X3,tc_nat) = c_Divides_Odiv__class_Omod(X1,X3,tc_nat) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_26783,c_12546]) ).
tcf(c_45916,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_26783,c_12548]) ).
tcf(c_45934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45910,c_1131]) ).
tcf(c_45952,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_26786]) ).
tcf(c_45955,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_26786]) ).
tcf(c_45956,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_26786]) ).
tcf(c_45957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_26786,c_1191]) ).
tcf(c_45958,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_26786,c_1265]) ).
tcf(c_45962,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),X3,tc_nat) = c_Divides_Odiv__class_Omod(X1,X3,tc_nat) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_26786,c_12546]) ).
tcf(c_45963,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_26786,c_12548]) ).
tcf(c_45979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45957,c_1131]) ).
tcf(c_46026,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_21338,c_34460]) ).
tcf(c_46027,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_46026,c_10640,c_21438,c_22173]) ).
tcf(c_46028,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_25577,c_46027]) ).
tcf(c_46029,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_22608,c_46027]) ).
tcf(c_46030,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_22441,c_46027]) ).
tcf(c_46031,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex) ) ),
inference(demodulation,[status(thm)],[c_41079,c_46027]) ).
tcf(c_46032,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(demodulation,[status(thm)],[c_11309,c_46027]) ).
tcf(c_46047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_46027]) ).
tcf(c_46048,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6492,c_46027]) ).
tcf(c_46049,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_46027]) ).
tcf(c_46050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_46027]) ).
tcf(c_46051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_46027]) ).
tcf(c_46052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6619,c_46027]) ).
tcf(c_46053,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6631,c_46027]) ).
tcf(c_46054,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_46027]) ).
tcf(c_46055,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6654,c_46027]) ).
tcf(c_46056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6683,c_46027]) ).
tcf(c_46057,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_46027]) ).
tcf(c_46058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_46027]) ).
tcf(c_46059,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_46027]) ).
tcf(c_46060,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22175,c_46027]) ).
tcf(c_46061,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21435,c_46027]) ).
tcf(c_46063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_21480]) ).
tcf(c_46064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_25280]) ).
tcf(c_46065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_22511]) ).
tcf(c_46067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_37729]) ).
tcf(c_46068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_46027,c_25978]) ).
tcf(c_46069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_46027]) ).
tcf(c_46071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_46027,c_26412]) ).
tcf(c_46072,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_21994]) ).
tcf(c_46073,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_21989]) ).
tcf(c_46074,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_46027,c_6746]) ).
tcf(c_46075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_46027,c_6731]) ).
tcf(c_46076,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_22663]) ).
tcf(c_46077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_6701]) ).
tcf(c_46078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_6613]) ).
tcf(c_46080,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_6552]) ).
tcf(c_46081,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_6543]) ).
tcf(c_46082,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_6492]) ).
tcf(c_46083,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_21994]) ).
tcf(c_46084,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_21989]) ).
tcf(c_46085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_37981]) ).
tcf(c_46086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_6701]) ).
tcf(c_46087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_6613]) ).
tcf(c_46088,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_46027,c_38230]) ).
tcf(c_46089,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_22666]) ).
tcf(c_46090,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_21442]) ).
tcf(c_46091,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_46027,c_38172]) ).
tcf(c_46092,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_46027,c_38234]) ).
tcf(c_46093,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_46027,c_12519]) ).
tcf(c_46094,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_6654]) ).
tcf(c_46095,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_21253]) ).
tcf(c_46096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_22444]) ).
tcf(c_46097,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_22175]) ).
tcf(c_46098,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_21435]) ).
tcf(c_46099,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_23599]) ).
tcf(c_46100,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_46076,c_6543]) ).
tcf(c_46101,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_46098,c_34460]) ).
tcf(c_46102,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_46095,c_6543]) ).
tcf(c_46105,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_46084,c_46027]) ).
tcf(c_46106,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_46083,c_46027]) ).
tcf(c_46111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_46064,c_6543]) ).
tcf(c_46112,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_46061,c_34526]) ).
tcf(c_46113,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_46059,c_10416]) ).
tcf(c_46302,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_915,c_6260]) ).
tcf(c_46304,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_6260]) ).
tcf(c_46307,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_6260]) ).
tcf(c_46308,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_6260]) ).
tcf(c_46311,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_6260,c_1106]) ).
tcf(c_46315,plain,
! [X0: $i,X1: $i] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_6260,c_12054]) ).
tcf(c_46397,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_903,c_899]) ).
tcf(c_46398,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_915,c_899]) ).
tcf(c_46400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_899]) ).
tcf(c_46401,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_1129,c_899]) ).
tcf(c_46402,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1128,c_899]) ).
tcf(c_46403,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_899]) ).
tcf(c_46404,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_899]) ).
tcf(c_46405,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_902,c_899]) ).
tcf(c_46406,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_903,c_899]) ).
tcf(c_46407,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_915,c_899]) ).
tcf(c_46409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_899]) ).
tcf(c_46410,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_1129,c_899]) ).
tcf(c_46411,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1128,c_899]) ).
tcf(c_46412,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_899]) ).
tcf(c_46413,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_899]) ).
tcf(c_46414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_899,c_21819]) ).
tcf(c_46415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_899,c_21631]) ).
tcf(c_46416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_899,c_1106]) ).
tcf(c_46417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_899,c_25164]) ).
tcf(c_46418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_899,c_25065]) ).
tcf(c_46419,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_899,c_21595]) ).
tcf(c_46420,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_899,c_12054]) ).
tcf(c_46421,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_899,c_913]) ).
tcf(c_46422,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_899,c_924]) ).
tcf(c_46425,plain,
! [X0: $i,X1: $i] :
( ~ c_HOL_Oord__class_Oless(X1,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_899,c_980]) ).
tcf(c_46426,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_899,c_24798]) ).
tcf(c_46427,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_899,c_24804]) ).
tcf(c_46446,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46402,c_21174]) ).
tcf(c_46487,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46413,c_1084]) ).
tcf(c_46490,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46404,c_1084]) ).
tcf(c_46503,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_902,c_901]) ).
tcf(c_46507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_901]) ).
tcf(c_46508,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1129,c_901]) ).
tcf(c_46509,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_1128,c_901]) ).
tcf(c_46510,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_901]) ).
tcf(c_46511,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_901]) ).
tcf(c_46512,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_902,c_901]) ).
tcf(c_46513,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_903,c_901]) ).
tcf(c_46516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_901]) ).
tcf(c_46517,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1129,c_901]) ).
tcf(c_46518,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_1128,c_901]) ).
tcf(c_46519,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_901]) ).
tcf(c_46520,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_901]) ).
tcf(c_46521,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_901,c_21819]) ).
tcf(c_46522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_901,c_21631]) ).
tcf(c_46523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_901,c_1106]) ).
tcf(c_46524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_901,c_25164]) ).
tcf(c_46525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_901,c_25065]) ).
tcf(c_46526,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_901,c_21595]) ).
tcf(c_46527,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_901,c_12054]) ).
tcf(c_46533,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_901,c_24740]) ).
tcf(c_46534,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_901,c_24746]) ).
tcf(c_46553,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46508,c_21174]) ).
tcf(c_46582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
inference(light_normalisation,[status(thm)],[c_46516,c_27577]) ).
tcf(c_46589,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46519,c_1084]) ).
tcf(c_46592,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46510,c_1084]) ).
tcf(c_46699,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_902,c_914]) ).
tcf(c_46700,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_903,c_914]) ).
tcf(c_46701,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_915,c_914]) ).
tcf(c_46703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) != c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_920,c_914]) ).
tcf(c_46704,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) != X1 ) ),
inference(superposition,[status(thm)],[c_1129,c_914]) ).
tcf(c_46705,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oone__class_Oone(tc_nat) = X1 )
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != X0 ) ),
inference(superposition,[status(thm)],[c_1128,c_914]) ).
tcf(c_46706,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_914]) ).
tcf(c_46707,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X2 )
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_914]) ).
tcf(c_46719,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(ground_joinability,[status(thm)],[c_46699,c_902]) ).
tcf(c_46723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_46703,c_27577]) ).
tcf(c_46751,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6432,c_46030]) ).
tcf(c_46752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10640,c_46030]) ).
tcf(c_46753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6552,c_46030]) ).
tcf(c_46754,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6559,c_46030]) ).
tcf(c_46755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10735,c_46030]) ).
tcf(c_46756,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21346,c_46030]) ).
tcf(c_46757,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_32620,c_46030]) ).
tcf(c_46758,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_46030]) ).
tcf(c_46759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_46030]) ).
tcf(c_46760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_46030]) ).
tcf(c_46761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6619,c_46030]) ).
tcf(c_46763,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_46030]) ).
tcf(c_46764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6683,c_46030]) ).
tcf(c_46765,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_46030]) ).
tcf(c_46766,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_46030]) ).
tcf(c_46769,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6607,c_46030]) ).
tcf(c_46772,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_46030]) ).
tcf(c_46773,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21443,c_46030]) ).
tcf(c_46777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_46030,c_1191]) ).
tcf(c_46782,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_46772,c_21346]) ).
tcf(c_46785,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46777,c_964]) ).
tcf(c_46879,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6432,c_46090]) ).
tcf(c_46880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10640,c_46090]) ).
tcf(c_46881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6552,c_46090]) ).
tcf(c_46882,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6559,c_46090]) ).
tcf(c_46883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X3,c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10735,c_46090]) ).
tcf(c_46884,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21346,c_46090]) ).
tcf(c_46885,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_32620,c_46090]) ).
tcf(c_46886,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_46090]) ).
tcf(c_46887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_46090]) ).
tcf(c_46888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_46090]) ).
tcf(c_46889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6619,c_46090]) ).
tcf(c_46891,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_46090]) ).
tcf(c_46892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6683,c_46090]) ).
tcf(c_46893,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_46090]) ).
tcf(c_46894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_46090]) ).
tcf(c_46903,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23285,c_46090]) ).
tcf(c_46904,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_46090]) ).
tcf(c_46905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_46090,c_1191]) ).
tcf(c_46912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46905,c_964]) ).
tcf(c_46973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),tc_nat),tc_nat),
inference(demodulation,[status(thm)],[c_26829,c_27577]) ).
tcf(c_46982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X0,X4,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_26855]) ).
tcf(c_46984,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_902,c_26855]) ).
tcf(c_46988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X4,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_26855]) ).
tcf(c_46989,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1129,c_26855]) ).
tcf(c_46991,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_26855]) ).
tcf(c_46992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_26855]) ).
tcf(c_46993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X4,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),tc_nat),X4,tc_nat) ),
inference(superposition,[status(thm)],[c_26855,c_1191]) ).
tcf(c_46994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),X3,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26855,c_1265]) ).
tcf(c_46995,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26855,c_1182]) ).
tcf(c_46998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),tc_nat),tc_nat),tc_nat),X3,tc_nat) = c_Divides_Odiv__class_Omod(X0,X3,tc_nat),
inference(superposition,[status(thm)],[c_26855,c_12546]) ).
tcf(c_46999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_26855,c_12548]) ).
tcf(c_47000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_26855,c_26394]) ).
tcf(c_47001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),X4,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_26855,c_26574]) ).
tcf(c_47002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X3,X0,tc_nat),X4,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_26855,c_26415]) ).
tcf(c_47003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X3,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_26855,c_31859]) ).
tcf(c_47004,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_46995,c_1131]) ).
tcf(c_47007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X4,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),tc_nat),X4,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46993,c_1131]) ).
tcf(c_47038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X3,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_26856]) ).
tcf(c_47039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X3,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_26856]) ).
tcf(c_47040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),tc_nat),X4,tc_nat) ),
inference(superposition,[status(thm)],[c_26856,c_1191]) ).
tcf(c_47041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26856,c_1265]) ).
tcf(c_47042,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26856,c_1182]) ).
tcf(c_47045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),tc_nat),tc_nat),tc_nat),X4,tc_nat) = c_Divides_Odiv__class_Omod(X0,X4,tc_nat),
inference(superposition,[status(thm)],[c_26856,c_12546]) ).
tcf(c_47046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),tc_nat),X3,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_26856,c_12548]) ).
tcf(c_47047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_26856,c_26394]) ).
tcf(c_47049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X4,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_26856,c_26415]) ).
tcf(c_47050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_26856,c_31859]) ).
tcf(c_47051,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_47042,c_1131]) ).
tcf(c_47054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),tc_nat),X4,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47040,c_1131]) ).
tcf(c_47116,plain,
! [X0: $i,X1: $i] : c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_OpCons(X0,X1,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_1011,c_1027]) ).
tcf(c_47117,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)),c_HOL_Ouminus__class_Ouminus(X2,tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))),tc_Polynomial_Opoly(X0)) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_OpCons(X1,X2,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))) )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(superposition,[status(thm)],[c_1010,c_1027]) ).
tcf(c_47126,plain,
! [X0: $i,X1: $i] : c_Polynomial_Omonom(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_nat),c_Polynomial_Omonom(X0,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1031,c_1038]) ).
tcf(c_47127,plain,
! [X0: $i,X1: $i] : c_Polynomial_Omonom(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_Complex_Ocomplex) = c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Omonom(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1030,c_1038]) ).
tcf(c_47128,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Polynomial_Omonom(X1,X2,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_Polynomial_Omonom(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_Polynomial_Opoly(X0)) )
| ~ class_HOL_Ozero(X0) ),
inference(superposition,[status(thm)],[c_1029,c_1038]) ).
tcf(c_47140,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X1 )
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_997,c_1080]) ).
tcf(c_47142,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X2,tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X2 )
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_999,c_1080]) ).
tcf(c_47143,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X0 )
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_994,c_1080]) ).
tcf(c_47144,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X1 )
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1080,c_21819]) ).
tcf(c_47145,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X1 )
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1080,c_21631]) ).
tcf(c_47146,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X1 )
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1080,c_1106]) ).
tcf(c_47147,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X1 )
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1080,c_25164]) ).
tcf(c_47148,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X1 )
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1080,c_25065]) ).
tcf(c_47154,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X1 )
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1080,c_21592]) ).
tcf(c_47157,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1080,c_24798]) ).
tcf(c_47158,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1080,c_24740]) ).
tcf(c_47161,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1080,c_972]) ).
tcf(c_47162,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1080,c_1063]) ).
tcf(c_47163,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) )
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1080,c_1100]) ).
tcf(c_47164,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1080,c_23784]) ).
tcf(c_47166,plain,
! [X0: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1080,c_6190]) ).
tcf(c_47167,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1080,c_25123]) ).
tcf(c_47217,plain,
! [X0: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47166,c_1090]) ).
tcf(c_47272,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_Polynomial_Osmult(X0,X1,tc_nat),X2,tc_Polynomial_Opoly(tc_nat)) = c_Polynomial_Osmult(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_nat)),tc_nat),
inference(superposition,[status(thm)],[c_1258,c_1164]) ).
tcf(c_47273,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_Polynomial_Osmult(X0,X1,tc_Complex_Ocomplex),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Osmult(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1257,c_1164]) ).
tcf(c_47274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(c_Polynomial_Osmult(X1,X2,tc_Polynomial_Opoly(X0)),X3,tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))) = c_Polynomial_Osmult(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))),tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(superposition,[status(thm)],[c_1256,c_1164]) ).
tcf(c_47285,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_1105,c_26982]) ).
tcf(c_47286,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_919,c_26982]) ).
tcf(c_47287,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_918,c_26982]) ).
tcf(c_47289,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_999,c_26982]) ).
tcf(c_47295,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_1104,c_26982]) ).
tcf(c_47299,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_26982,c_1106]) ).
tcf(c_47303,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_26982,c_12054]) ).
tcf(c_47398,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_901,c_27188]) ).
tcf(c_47399,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_21849,c_27188]) ).
tcf(c_47400,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X1,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_993,c_27188]) ).
tcf(c_47401,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_23185,c_27188]) ).
tcf(c_47403,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_21890,c_27188]) ).
tcf(c_47405,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_42843,c_27188]) ).
tcf(c_47406,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_23164,c_27188]) ).
tcf(c_47407,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_21849,c_27188]) ).
tcf(c_47410,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_6154,c_27188]) ).
tcf(c_47417,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_27188]) ).
tcf(c_47420,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_27188]) ).
tcf(c_47424,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(light_normalisation,[status(thm)],[c_47403,c_903]) ).
tcf(c_47432,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = X0,
inference(forward_subsumption_resolution,[status(thm)],[c_47405,c_983]) ).
tcf(c_47434,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_47401,c_903]) ).
tcf(c_47451,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_47399,c_21819]) ).
tcf(c_47452,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_47399,c_21631]) ).
tcf(c_47453,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) = X0 )
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_47399,c_1106]) ).
tcf(c_47454,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_47399,c_25164]) ).
tcf(c_47455,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_47399,c_25065]) ).
tcf(c_47458,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_47399,c_984]) ).
tcf(c_47460,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_47399,c_910]) ).
tcf(c_47461,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_47399,c_909]) ).
tcf(c_47463,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_47399,c_24798]) ).
tcf(c_47464,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_47399,c_27188]) ).
tcf(c_47470,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_47399,c_25123]) ).
tcf(c_47489,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_47464,c_983]) ).
tcf(c_47507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6415,c_27309]) ).
tcf(c_47509,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6648,c_27309]) ).
tcf(c_47510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_12533,c_27309]) ).
tcf(c_47511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_12528,c_27309]) ).
tcf(c_47512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X4,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6619,c_27309]) ).
tcf(c_47516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X4,c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6683,c_27309]) ).
tcf(c_47517,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_10416,c_27309]) ).
tcf(c_47518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21250,c_27309]) ).
tcf(c_47522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_46027,c_27309]) ).
tcf(c_47523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27309,c_1191]) ).
tcf(c_47524,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27309,c_1265]) ).
tcf(c_47526,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27309,c_1173]) ).
tcf(c_47532,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27309,c_24488]) ).
tcf(c_47548,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47523,c_964]) ).
tcf(c_47618,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_21849,c_27547]) ).
tcf(c_47619,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X0,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_993,c_27547]) ).
tcf(c_47620,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_23185,c_27547]) ).
tcf(c_47622,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_21890,c_27547]) ).
tcf(c_47624,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_47399,c_27547]) ).
tcf(c_47625,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_42843,c_27547]) ).
tcf(c_47626,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_23164,c_27547]) ).
tcf(c_47627,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),X1,tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_21849,c_27547]) ).
tcf(c_47629,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_899,c_27547]) ).
tcf(c_47638,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_27547]) ).
tcf(c_47642,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_27547]) ).
tcf(c_47648,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat) = X0,
inference(forward_subsumption_resolution,[status(thm)],[c_47625,c_983]) ).
tcf(c_47668,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_47618,c_21819]) ).
tcf(c_47669,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_47618,c_21631]) ).
tcf(c_47670,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) = X0 )
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_47618,c_1106]) ).
tcf(c_47671,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_47618,c_25164]) ).
tcf(c_47672,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_47618,c_25065]) ).
tcf(c_47675,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_47618,c_984]) ).
tcf(c_47677,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_47618,c_910]) ).
tcf(c_47678,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_47618,c_909]) ).
tcf(c_47680,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),X1,tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ) ),
inference(superposition,[status(thm)],[c_47618,c_27547]) ).
tcf(c_47681,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),X1,tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ) ),
inference(superposition,[status(thm)],[c_47618,c_24798]) ).
tcf(c_47682,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_47618,c_27188]) ).
tcf(c_47683,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_47618,c_24740]) ).
tcf(c_47688,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),X1,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ) ),
inference(superposition,[status(thm)],[c_47618,c_25123]) ).
tcf(c_47697,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_47678,c_27577]) ).
tcf(c_47700,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_47677,c_27577]) ).
tcf(c_47758,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_902,c_27600]) ).
tcf(c_47759,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_903,c_27600]) ).
tcf(c_47760,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_915,c_27600]) ).
tcf(c_47762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_27600]) ).
tcf(c_47763,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1129,c_27600]) ).
tcf(c_47764,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1128,c_27600]) ).
tcf(c_47765,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_27600]) ).
tcf(c_47766,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_27600]) ).
tcf(c_47767,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_902,c_27600]) ).
tcf(c_47768,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_915,c_27600]) ).
tcf(c_47770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_27600]) ).
tcf(c_47771,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1129,c_27600]) ).
tcf(c_47772,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_902,c_27600]) ).
tcf(c_47773,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_903,c_27600]) ).
tcf(c_47774,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_915,c_27600]) ).
tcf(c_47776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_27600]) ).
tcf(c_47777,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1129,c_27600]) ).
tcf(c_47778,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1128,c_27600]) ).
tcf(c_47779,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_27600]) ).
tcf(c_47780,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_27600]) ).
tcf(c_47784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_27600,c_12546]) ).
tcf(c_47790,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_47773,c_903]) ).
tcf(c_47796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_47770,c_27577]) ).
tcf(c_47823,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_997,c_27907]) ).
tcf(c_47826,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_998,c_27907]) ).
tcf(c_47831,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_1105,c_27907]) ).
tcf(c_47833,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_998,c_27907]) ).
tcf(c_47837,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_1104,c_27907]) ).
tcf(c_47859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_21433]) ).
tcf(c_47860,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6492,c_21433]) ).
tcf(c_47861,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_21433]) ).
tcf(c_47862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_21433]) ).
tcf(c_47863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_21433]) ).
tcf(c_47864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6619,c_21433]) ).
tcf(c_47865,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6631,c_21433]) ).
tcf(c_47866,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_21433]) ).
tcf(c_47867,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6654,c_21433]) ).
tcf(c_47868,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6683,c_21433]) ).
tcf(c_47869,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_21433]) ).
tcf(c_47870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_21433]) ).
tcf(c_47871,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_21433]) ).
tcf(c_47874,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21435,c_21433]) ).
tcf(c_47875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_21433]) ).
tcf(c_47876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21433,c_27309]) ).
tcf(c_47877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21433,c_21480]) ).
tcf(c_47878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21433,c_25280]) ).
tcf(c_47881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21433,c_21433]) ).
tcf(c_47882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21433,c_37729]) ).
tcf(c_47883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21433,c_25978]) ).
tcf(c_47884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21433,c_46027]) ).
tcf(c_47885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21433,c_37981]) ).
tcf(c_47886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21433,c_26412]) ).
tcf(c_47887,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21433,c_21994]) ).
tcf(c_47888,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21433,c_21989]) ).
tcf(c_47889,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21433,c_6746]) ).
tcf(c_47890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21433,c_6731]) ).
tcf(c_47892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21433,c_6701]) ).
tcf(c_47893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21433,c_6613]) ).
tcf(c_47895,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21433,c_6552]) ).
tcf(c_47896,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21433,c_6543]) ).
tcf(c_47897,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21433,c_6648]) ).
tcf(c_47898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21433,c_12533]) ).
tcf(c_47899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21433,c_12528]) ).
tcf(c_47900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21433,c_37981]) ).
tcf(c_47901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21433,c_6701]) ).
tcf(c_47902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21433,c_6613]) ).
tcf(c_47903,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21433,c_38230]) ).
tcf(c_47904,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21433,c_22666]) ).
tcf(c_47905,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21433,c_21442]) ).
tcf(c_47907,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_21433,c_38172]) ).
tcf(c_47908,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21433,c_38234]) ).
tcf(c_47909,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21433,c_12519]) ).
tcf(c_47910,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21433,c_10416]) ).
tcf(c_47911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21433,c_22444]) ).
tcf(c_47912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21433,c_46027]) ).
tcf(c_47913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21433,c_25739]) ).
tcf(c_47914,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_47905,c_6552]) ).
tcf(c_47919,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_47865,c_6492]) ).
tcf(c_47923,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_47861,c_22175]) ).
tcf(c_47927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_47911,c_6552]) ).
tcf(c_47930,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_47900,c_22173]) ).
tcf(c_47931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_47930,c_34460]) ).
tcf(c_47941,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_47902,c_22173]) ).
tcf(c_47942,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_47941,c_34460]) ).
tcf(c_47943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_47901,c_22173]) ).
tcf(c_47944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_47943,c_34460]) ).
tcf(c_48128,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_Polynomial_Osmult(X1,X2,tc_nat),tc_Polynomial_Opoly(tc_nat)) = c_Polynomial_Osmult(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_nat)),tc_nat),
inference(superposition,[status(thm)],[c_1258,c_1165]) ).
tcf(c_48129,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_Polynomial_Osmult(X1,X2,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Osmult(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1257,c_1165]) ).
tcf(c_48130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Osmult(X2,X3,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))) = c_Polynomial_Osmult(X2,c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))),tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(superposition,[status(thm)],[c_1256,c_1165]) ).
tcf(c_48178,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X2 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_1359]) ).
tcf(c_48179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) = X3 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X3,tc_nat) ) ),
inference(superposition,[status(thm)],[c_919,c_1359]) ).
tcf(c_48180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) = X3 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X3,tc_nat) ) ),
inference(superposition,[status(thm)],[c_918,c_1359]) ).
tcf(c_48181,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_997,c_1359]) ).
tcf(c_48182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_999,c_1359]) ).
tcf(c_48183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) = X3 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X1,X3,tc_nat) ) ),
inference(superposition,[status(thm)],[c_998,c_1359]) ).
tcf(c_48185,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != X0 ) ),
inference(superposition,[status(thm)],[c_996,c_1359]) ).
tcf(c_48186,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) != X1 ) ),
inference(superposition,[status(thm)],[c_994,c_1359]) ).
tcf(c_48187,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X2 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_5328,c_1359]) ).
tcf(c_48188,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X2 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_1359]) ).
tcf(c_48189,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat) = X2 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_5328,c_1359]) ).
tcf(c_48190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex) = X3 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6613,c_1359]) ).
tcf(c_48192,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) != X0 ) ),
inference(superposition,[status(thm)],[c_21386,c_1359]) ).
tcf(c_48193,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = X2 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_25380,c_1359]) ).
tcf(c_48194,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22336,c_1359]) ).
tcf(c_48195,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(X2,X0,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_26127,c_1359]) ).
tcf(c_48196,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) != X1 ) ),
inference(superposition,[status(thm)],[c_21412,c_1359]) ).
tcf(c_48197,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ominus__class_Ominus(X2,X0,tc_Complex_Ocomplex) = X1 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) != X2 ) ),
inference(superposition,[status(thm)],[c_22947,c_1359]) ).
tcf(c_48198,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X1 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != X0 ) ),
inference(superposition,[status(thm)],[c_27119,c_1359]) ).
tcf(c_48199,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != X1 ) ),
inference(superposition,[status(thm)],[c_26924,c_1359]) ).
tcf(c_48200,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = X1 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_nat)) != X0 ) ),
inference(superposition,[status(thm)],[c_37458,c_1359]) ).
tcf(c_48201,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),X0,tc_Polynomial_Opoly(tc_nat)) != X1 ) ),
inference(superposition,[status(thm)],[c_37535,c_1359]) ).
tcf(c_48204,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) != X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48192,c_1350,c_1046]) ).
tcf(c_48212,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ominus__class_Ominus(X2,X0,tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) != X2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48197,c_1350,c_1046]) ).
tcf(c_48215,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48194,c_1350,c_1046]) ).
tcf(c_48232,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(X2,X1,tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_48195,c_26127]) ).
tcf(c_48233,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(X2,X1,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48232,c_1350,c_1046]) ).
tcf(c_48236,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,X2,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48193,c_1350,c_1046]) ).
tcf(c_48243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_48182,c_28498]) ).
tcf(c_48264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48190,c_1350,c_1046]) ).
tcf(c_48351,plain,
! [X0: $i,X1: $i] : c_Polynomial_Odegree(c_Power_Opower__class_Opower(c_Polynomial_OpCons(X0,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_nat),tc_nat),X1,tc_Polynomial_Opoly(tc_nat)),tc_nat) = X1,
inference(superposition,[status(thm)],[c_1131,c_934]) ).
tcf(c_48352,plain,
! [X0: $i,X1: $i] : c_Polynomial_Odegree(c_Power_Opower__class_Opower(c_Polynomial_OpCons(X0,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) = X1,
inference(superposition,[status(thm)],[c_964,c_934]) ).
tcf(c_48353,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Polynomial_Odegree(c_Power_Opower__class_Opower(c_Polynomial_OpCons(X1,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))),tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)),X2,tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))),tc_Polynomial_Opoly(X0)) = X2 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_934]) ).
tcf(c_48363,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,tc_nat),c_Power_Opower__class_Opower(X2,X1,tc_nat),tc_nat) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_1131,c_937]) ).
tcf(c_48364,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_964,c_937]) ).
tcf(c_48365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,tc_Polynomial_Opoly(X0)),c_Power_Opower__class_Opower(X3,X2,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(X0)),X2,tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_937]) ).
tcf(c_48371,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)),
inference(global_subsumption_just,[status(thm)],[c_28029,c_1131,c_1376,c_28029]) ).
tcf(c_48374,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)),
inference(superposition,[status(thm)],[c_26691,c_48371]) ).
tcf(c_48378,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_nat)),X2,tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_48371,c_1191]) ).
tcf(c_48379,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_48371,c_1265]) ).
tcf(c_48381,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_48371,c_1173]) ).
tcf(c_48382,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_48371,c_1172]) ).
tcf(c_48394,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)),
inference(global_subsumption_just,[status(thm)],[c_28030,c_1131,c_1376,c_28030]) ).
tcf(c_48400,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_nat)),X2,tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_48394,c_1191]) ).
tcf(c_48401,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_nat)),X1,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_48394,c_1265]) ).
tcf(c_48403,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_nat)),X2,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_48394,c_1173]) ).
tcf(c_48404,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_nat)),X2,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_48394,c_1172]) ).
tcf(c_48459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_28241]) ).
tcf(c_48466,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_28241]) ).
tcf(c_48467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_28241]) ).
tcf(c_48469,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_28241]) ).
tcf(c_48470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X4,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12533,c_28241]) ).
tcf(c_48471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X4,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12528,c_28241]) ).
tcf(c_48472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(X5,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6619,c_28241]) ).
tcf(c_48474,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12519,c_28241]) ).
tcf(c_48476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(X5,c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6683,c_28241]) ).
tcf(c_48477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_28241]) ).
tcf(c_48478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_28241]) ).
tcf(c_48480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21433,c_28241]) ).
tcf(c_48483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_28241]) ).
tcf(c_48484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X4,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_28241,c_1191]) ).
tcf(c_48489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_28241,c_26412]) ).
tcf(c_48490,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_28241,c_42079]) ).
tcf(c_48491,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_28241,c_24659]) ).
tcf(c_48492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_28241,c_26391]) ).
tcf(c_48493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_28241,c_24488]) ).
tcf(c_48494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_28241,c_24184]) ).
tcf(c_48495,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_28241,c_26571]) ).
tcf(c_48496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_28241,c_26409]) ).
tcf(c_48501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X4,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48484,c_964]) ).
tcf(c_48558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_28242,c_34389,c_46027]) ).
tcf(c_48559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_48558,c_34460,c_46027]) ).
tcf(c_48561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_28244,c_46027]) ).
tcf(c_48562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_28245,c_46027,c_46069]) ).
tcf(c_48563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_48562,c_46027]) ).
tcf(c_48565,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_997,c_28537]) ).
tcf(c_48574,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_999,c_28537]) ).
tcf(c_48583,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_21438,c_34460,c_46027,c_47874]) ).
tcf(c_48588,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,tc_nat),c_Power_Opower__class_Opower(X0,X2,tc_nat),tc_nat) = c_Power_Opower__class_Opower(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1131,c_940]) ).
tcf(c_48589,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_964,c_940]) ).
tcf(c_48590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,tc_Polynomial_Opoly(X0)),c_Power_Opower__class_Opower(X1,X3,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_Power_Opower__class_Opower(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_940]) ).
tcf(c_48600,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Opoly(X2,X1,tc_nat),tc_nat),tc_nat) = c_Polynomial_Opoly(c_Polynomial_OpCons(X0,X2,tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_1258,c_959]) ).
tcf(c_48601,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Opoly(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_Polynomial_OpCons(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1257,c_959]) ).
tcf(c_48602,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,c_Polynomial_Opoly(X3,X2,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_Polynomial_Opoly(c_Polynomial_OpCons(X1,X3,tc_Polynomial_Opoly(X0)),X2,tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(superposition,[status(thm)],[c_1256,c_959]) ).
tcf(c_48612,plain,
! [X0: $i,X1: $i,X2: $i] : c_Polynomial_OpCons(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_Polynomial_Osmult(X0,X2,tc_nat),tc_nat) = c_Polynomial_Osmult(X0,c_Polynomial_OpCons(X1,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1258,c_1056]) ).
tcf(c_48613,plain,
! [X0: $i,X1: $i,X2: $i] : c_Polynomial_OpCons(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_Polynomial_Osmult(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Osmult(X0,c_Polynomial_OpCons(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1257,c_1056]) ).
tcf(c_48614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Polynomial_OpCons(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X0)),c_Polynomial_Osmult(X1,X3,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(X1,c_Polynomial_OpCons(X2,X3,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(superposition,[status(thm)],[c_1256,c_1056]) ).
tcf(c_48672,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_964,c_1143]) ).
tcf(c_48673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X0)),c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_1143]) ).
tcf(c_48695,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_HOL_Ozero(tc_nat)
| ( c_Polynomial_Omonom(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) ) ),
inference(superposition,[status(thm)],[c_28843,c_1032]) ).
tcf(c_48696,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ class_HOL_Ozero(tc_nat)
| ( c_Polynomial_Omonom(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) != c_Polynomial_OpCons(X1,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_28843,c_1036]) ).
tcf(c_48697,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = X2 )
| ~ class_HOL_Ozero(tc_nat)
| ( c_Polynomial_Omonom(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) != c_Polynomial_OpCons(X1,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_28843,c_1035]) ).
tcf(c_48698,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( c_Polynomial_Omonom(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) != c_Polynomial_OpCons(X1,X2,tc_nat) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48696,c_1031]) ).
tcf(c_48701,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_Polynomial_Omonom(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48695,c_1031]) ).
tcf(c_48704,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = X2 )
| ( c_Polynomial_Omonom(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) != c_Polynomial_OpCons(X1,X2,tc_nat) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48697,c_1031]) ).
tcf(c_48713,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_HOL_Ozero(tc_Complex_Ocomplex)
| ( c_Polynomial_Omonom(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_28844,c_1032]) ).
tcf(c_48714,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ class_HOL_Ozero(tc_Complex_Ocomplex)
| ( c_Polynomial_Omonom(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex) != c_Polynomial_OpCons(X1,X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_28844,c_1036]) ).
tcf(c_48715,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X2 )
| ~ class_HOL_Ozero(tc_Complex_Ocomplex)
| ( c_Polynomial_Omonom(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex) != c_Polynomial_OpCons(X1,X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_28844,c_1035]) ).
tcf(c_48716,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( c_Polynomial_Omonom(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex) != c_Polynomial_OpCons(X1,X2,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48714,c_1030]) ).
tcf(c_48719,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_Polynomial_Omonom(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48713,c_1030]) ).
tcf(c_48722,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X2 )
| ( c_Polynomial_Omonom(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex) != c_Polynomial_OpCons(X1,X2,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48715,c_1030]) ).
tcf(c_48779,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != X2 ) ),
inference(superposition,[status(thm)],[c_6543,c_29422]) ).
tcf(c_48781,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) )
| ( X0 != X1 ) ),
inference(superposition,[status(thm)],[c_21461,c_29422]) ).
tcf(c_48782,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) )
| ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) != X2 ) ),
inference(superposition,[status(thm)],[c_25368,c_29422]) ).
tcf(c_48794,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10640,c_30247]) ).
tcf(c_48795,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6552,c_30247]) ).
tcf(c_48796,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6559,c_30247]) ).
tcf(c_48797,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10735,c_30247]) ).
tcf(c_48798,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21346,c_30247]) ).
tcf(c_48799,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_32620,c_30247]) ).
tcf(c_48801,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_30247]) ).
tcf(c_48802,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_30247]) ).
tcf(c_48804,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_30247]) ).
tcf(c_48806,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_30247]) ).
tcf(c_48807,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_30247]) ).
tcf(c_48809,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_30247]) ).
tcf(c_48810,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21455,c_30247]) ).
tcf(c_48811,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21461,c_30247]) ).
tcf(c_48812,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25368,c_30247]) ).
tcf(c_48813,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_30247,c_1191]) ).
tcf(c_48815,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_30247,c_24488]) ).
tcf(c_48818,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_48811,c_32620]) ).
tcf(c_48823,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_48812,c_33405]) ).
tcf(c_48825,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_48795,c_6543]) ).
tcf(c_48826,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_48809,c_6552]) ).
tcf(c_48827,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_48826,c_6543]) ).
tcf(c_48828,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_48806,c_10735]) ).
tcf(c_48829,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_48794,c_21980,c_33421]) ).
tcf(c_48830,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48813,c_964]) ).
tcf(c_48854,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_30362]) ).
tcf(c_48855,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_30362]) ).
tcf(c_48856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X3,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_30362]) ).
tcf(c_48858,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_30362]) ).
tcf(c_48859,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_902,c_30362]) ).
tcf(c_48860,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_903,c_30362]) ).
tcf(c_48863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_30362]) ).
tcf(c_48865,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1128,c_30362]) ).
tcf(c_48866,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_30362]) ).
tcf(c_48867,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_30362]) ).
tcf(c_48868,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_30362,c_1191]) ).
tcf(c_48869,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_30362,c_1265]) ).
tcf(c_48870,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_30362,c_1182]) ).
tcf(c_48873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat),tc_nat),tc_nat),X2,tc_nat) = c_Divides_Odiv__class_Omod(X0,X2,tc_nat),
inference(superposition,[status(thm)],[c_30362,c_12546]) ).
tcf(c_48874,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_30362,c_12548]) ).
tcf(c_48875,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_30362,c_26394]) ).
tcf(c_48876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_30362,c_26574]) ).
tcf(c_48877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_30362,c_26415]) ).
tcf(c_48878,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_30362,c_31859]) ).
tcf(c_48881,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_48870,c_1131]) ).
tcf(c_48884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),tc_nat),X3,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48868,c_1131]) ).
tcf(c_48906,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_30747]) ).
tcf(c_48907,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_30747]) ).
tcf(c_48908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X3,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_30747]) ).
tcf(c_48910,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_30747]) ).
tcf(c_48915,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_30747]) ).
tcf(c_48918,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_30747]) ).
tcf(c_48919,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_30747]) ).
tcf(c_48920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_30747,c_1191]) ).
tcf(c_48921,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),X2,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_30747,c_1265]) ).
tcf(c_48922,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_30747,c_1182]) ).
tcf(c_48925,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),tc_nat),tc_nat),X2,tc_nat) = c_Divides_Odiv__class_Omod(X0,X2,tc_nat),
inference(superposition,[status(thm)],[c_30747,c_12546]) ).
tcf(c_48926,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_30747,c_12548]) ).
tcf(c_48927,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_30747,c_26394]) ).
tcf(c_48928,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X3,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_30747,c_26574]) ).
tcf(c_48929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),X3,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_30747,c_26415]) ).
tcf(c_48930,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_30747,c_31859]) ).
tcf(c_48931,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_48922,c_1131]) ).
tcf(c_48934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),X3,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48920,c_1131]) ).
tcf(c_49083,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_964,c_1144]) ).
tcf(c_49084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X0)),c_HOL_Otimes__class_Otimes(X3,X2,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,tc_Polynomial_Opoly(X0)),X2,tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_1144]) ).
tcf(c_49093,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_1192,c_12550]) ).
tcf(c_49094,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_1054,c_12550]) ).
tcf(c_49095,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_1053,c_12550]) ).
tcf(c_49097,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X3,c_HOL_Ominus__class_Ominus(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X3,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_1268,c_12550]) ).
tcf(c_49098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X3,c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X3,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_1185,c_12550]) ).
tcf(c_49099,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X2,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_1266,c_12550]) ).
tcf(c_49100,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_1264,c_12550]) ).
tcf(c_49101,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_1181,c_12550]) ).
tcf(c_49102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X2,c_HOL_Otimes__class_Otimes(X0,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_1050,c_12550]) ).
tcf(c_49103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X3,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X2,c_HOL_Otimes__class_Otimes(X3,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_1049,c_12550]) ).
tcf(c_49104,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,c_Power_Opower__class_Opower(X2,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_12550]) ).
tcf(c_49105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X2,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_1171,c_12550]) ).
tcf(c_49106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X2,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_1170,c_12550]) ).
tcf(c_49109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,c_Power_Opower__class_Opower(X1,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Power_Opower__class_Opower(X0,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X2,c_Power_Opower__class_Opower(X0,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_943,c_12550]) ).
tcf(c_49110,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_29501,c_12550]) ).
tcf(c_49113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_26335,c_12550]) ).
tcf(c_49114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_26336,c_12550]) ).
tcf(c_49115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_26504,c_12550]) ).
tcf(c_49116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_26505,c_12550]) ).
tcf(c_49118,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_29491,c_12550]) ).
tcf(c_49119,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_29492,c_12550]) ).
tcf(c_49120,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_29497,c_12550]) ).
tcf(c_49121,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_32135,c_12550]) ).
tcf(c_49122,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_32150,c_12550]) ).
tcf(c_49124,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(light_normalisation,[status(thm)],[c_49120,c_7614]) ).
tcf(c_49126,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(light_normalisation,[status(thm)],[c_49093,c_7614]) ).
tcf(c_49237,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(X0,X1,tc_nat),c_Polynomial_Opoly(X2,X1,tc_nat),tc_nat) = c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_nat)),X1,tc_nat),
inference(superposition,[status(thm)],[c_1258,c_958]) ).
tcf(c_49238,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(X0,X1,tc_Complex_Ocomplex),c_Polynomial_Opoly(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1257,c_958]) ).
tcf(c_49239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(X1,X2,tc_Polynomial_Opoly(X0)),c_Polynomial_Opoly(X3,X2,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))),X2,tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(superposition,[status(thm)],[c_1256,c_958]) ).
tcf(c_49242,plain,
c_Power_Opower__class_Opower(c_Polynomial_Opoly(v_r____,v_x,tc_Complex_Ocomplex),c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(v_s____,v_u____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_x,tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_895,c_49238]) ).
tcf(c_49254,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
| ( c_HOL_Ozero__class_Ozero(X0) = X1 )
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(superposition,[status(thm)],[c_1054,c_1051]) ).
tcf(c_49256,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X2,X0)
| ( c_HOL_Ozero__class_Ozero(X0) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(superposition,[status(thm)],[c_1190,c_1051]) ).
tcf(c_49257,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X2,X1)
| ( c_HOL_Ozero__class_Ozero(X1) = X0 )
| ~ class_Ring__and__Field_Oidom(X1)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_1050,c_1051]) ).
tcf(c_49259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
| ( c_HOL_Ozero__class_Ozero(X2) = X0 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ class_Ring__and__Field_Oidom(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X0,X2) ),
inference(superposition,[status(thm)],[c_1171,c_1051]) ).
tcf(c_49260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
| ( c_HOL_Ozero__class_Ozero(X2) = X0 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ class_Ring__and__Field_Oidom(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) ),
inference(superposition,[status(thm)],[c_1170,c_1051]) ).
tcf(c_49261,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
| ( c_HOL_Ozero__class_Ozero(X0) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(superposition,[status(thm)],[c_1169,c_1051]) ).
tcf(c_49262,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_21274,c_1051]) ).
tcf(c_49263,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X1,tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_21270,c_1051]) ).
tcf(c_49264,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21395,c_1051]) ).
tcf(c_49265,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21512,c_1051]) ).
tcf(c_49266,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22486,c_1051]) ).
tcf(c_49267,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22513,c_1051]) ).
tcf(c_49268,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22511,c_1051]) ).
tcf(c_49269,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22640,c_1051]) ).
tcf(c_49272,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24064,c_1051]) ).
tcf(c_49273,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_35518,c_1051]) ).
tcf(c_49274,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_34272,c_1051]) ).
tcf(c_49275,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_34105,c_1051]) ).
tcf(c_49276,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24213,c_1051]) ).
tcf(c_49277,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24284,c_1051]) ).
tcf(c_49278,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_24406,c_1051]) ).
tcf(c_49279,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_25981,c_1051]) ).
tcf(c_49280,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25975,c_1051]) ).
tcf(c_49281,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26303,c_1051]) ).
tcf(c_49282,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_26306,c_1051]) ).
tcf(c_49283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),X0)
| ( c_HOL_Ozero__class_Ozero(X0) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(superposition,[status(thm)],[c_26335,c_1051]) ).
tcf(c_49284,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_26400,c_1051]) ).
tcf(c_49285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26438,c_1051]) ).
tcf(c_49286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_34270,c_1051]) ).
tcf(c_49287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_34265,c_1051]) ).
tcf(c_49288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_35635,c_1051]) ).
tcf(c_49289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_34271,c_1051]) ).
tcf(c_49290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0),X0)
| ( c_HOL_Ozero__class_Ozero(X0) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(superposition,[status(thm)],[c_26504,c_1051]) ).
tcf(c_49291,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_26563,c_1051]) ).
tcf(c_49292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26595,c_1051]) ).
tcf(c_49293,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26744,c_1051]) ).
tcf(c_49294,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26741,c_1051]) ).
tcf(c_49295,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_26786,c_1051]) ).
tcf(c_49296,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_26783,c_1051]) ).
tcf(c_49297,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_26768,c_1051]) ).
tcf(c_49299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_26856,c_1051]) ).
tcf(c_49300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X3,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_26855,c_1051]) ).
tcf(c_49301,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_27600,c_1051]) ).
tcf(c_49302,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X1,tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_28023,c_1051]) ).
tcf(c_49303,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_29498,c_1051]) ).
tcf(c_49304,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_48371,c_1051]) ).
tcf(c_49305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_28241,c_1051]) ).
tcf(c_49306,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_29491,c_1051]) ).
tcf(c_49307,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_30362,c_1051]) ).
tcf(c_49308,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_30747,c_1051]) ).
tcf(c_49309,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_33005,c_1051]) ).
tcf(c_49311,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_37729,c_1051]) ).
tcf(c_49313,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_903,c_1051]) ).
tcf(c_49314,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_915,c_1051]) ).
tcf(c_49316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X3,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_1051]) ).
tcf(c_49317,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1129,c_1051]) ).
tcf(c_49318,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1128,c_1051]) ).
tcf(c_49320,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_1051]) ).
tcf(c_49321,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_1051]) ).
tcf(c_49323,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6607,c_1051]) ).
tcf(c_49324,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21364,c_1051]) ).
tcf(c_49325,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21375,c_1051]) ).
tcf(c_49326,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21402,c_1051]) ).
tcf(c_49327,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21443,c_1051]) ).
tcf(c_49328,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22325,c_1051]) ).
tcf(c_49329,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23285,c_1051]) ).
tcf(c_49330,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_24109,c_1051]) ).
tcf(c_49332,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_37008,c_1051]) ).
tcf(c_49333,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_37317,c_1051]) ).
tcf(c_49334,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),X1,tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_26691,c_1051]) ).
tcf(c_49336,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),X1,tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_37007,c_1051]) ).
tcf(c_49337,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)) )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),X1,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_37316,c_1051]) ).
tcf(c_49338,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38172,c_1051]) ).
tcf(c_49340,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_903,c_1051]) ).
tcf(c_49341,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_915,c_1051]) ).
tcf(c_49343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_1051]) ).
tcf(c_49344,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1129,c_1051]) ).
tcf(c_49345,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_1128,c_1051]) ).
tcf(c_49347,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_1051]) ).
tcf(c_49348,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_1051]) ).
tcf(c_49350,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6607,c_1051]) ).
tcf(c_49351,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21364,c_1051]) ).
tcf(c_49352,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21375,c_1051]) ).
tcf(c_49353,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21402,c_1051]) ).
tcf(c_49354,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21443,c_1051]) ).
tcf(c_49355,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22325,c_1051]) ).
tcf(c_49356,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23285,c_1051]) ).
tcf(c_49357,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_24109,c_1051]) ).
tcf(c_49359,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_37008,c_1051]) ).
tcf(c_49360,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_37317,c_1051]) ).
tcf(c_49361,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_nat)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_26691,c_1051]) ).
tcf(c_49363,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_nat)),X0,tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_37007,c_1051]) ).
tcf(c_49364,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)) )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),X0,tc_Polynomial_Opoly(tc_nat)),X1,tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_37316,c_1051]) ).
tcf(c_49365,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38172,c_1051]) ).
tcf(c_49373,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_49269,c_21980,c_33421]) ).
tcf(c_49392,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(light_normalisation,[status(thm)],[c_49284,c_27577]) ).
tcf(c_49393,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_49268,c_34526]) ).
tcf(c_49394,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_49267,c_38490]) ).
tcf(c_49403,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49281,c_1046]) ).
tcf(c_49407,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49280,c_1046]) ).
tcf(c_49419,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_49276,c_21980,c_33421]) ).
tcf(c_49420,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49275,c_1046]) ).
tcf(c_49424,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49351,c_1046]) ).
tcf(c_49435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49305,c_1046]) ).
tcf(c_49445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49285,c_1046]) ).
tcf(c_49454,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49327,c_1046]) ).
tcf(c_49458,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49325,c_1046]) ).
tcf(c_49462,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49317,c_21190]) ).
tcf(c_49470,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_49274,c_21980,c_33421]) ).
tcf(c_49471,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49470,c_1046]) ).
tcf(c_49475,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_49273,c_10640]) ).
tcf(c_49476,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49475,c_1046]) ).
tcf(c_49480,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49355,c_1046]) ).
tcf(c_49488,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49328,c_1046]) ).
tcf(c_49496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49289,c_1046]) ).
tcf(c_49500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49288,c_1046]) ).
tcf(c_49504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_49287,c_34526]) ).
tcf(c_49505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49504,c_1046]) ).
tcf(c_49509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_49286,c_38490]) ).
tcf(c_49510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49509,c_1046]) ).
tcf(c_49524,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(light_normalisation,[status(thm)],[c_49308,c_27577]) ).
tcf(c_49531,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49356,c_1046]) ).
tcf(c_49535,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49350,c_1046]) ).
tcf(c_49539,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49323,c_1046]) ).
tcf(c_49551,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_49353,c_21402]) ).
tcf(c_49552,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49551,c_1046]) ).
tcf(c_49556,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49326,c_1046]) ).
tcf(c_49560,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49365,c_1046]) ).
tcf(c_49565,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49338,c_1046,c_22227]) ).
tcf(c_49595,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),tc_nat),tc_nat) ),
inference(light_normalisation,[status(thm)],[c_49343,c_27577]) ).
tcf(c_49604,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49347,c_1090]) ).
tcf(c_49608,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49320,c_1090]) ).
tcf(c_49823,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Ominus__class_Ominus(X1,X2,X0),X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X2,X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
inference(superposition,[status(thm)],[c_1268,c_31074]) ).
tcf(c_49824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X2,X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
inference(superposition,[status(thm)],[c_1185,c_31074]) ).
tcf(c_49825,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
inference(superposition,[status(thm)],[c_1266,c_31074]) ).
tcf(c_49827,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_31074]) ).
tcf(c_49828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
inference(superposition,[status(thm)],[c_1171,c_31074]) ).
tcf(c_49829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
inference(superposition,[status(thm)],[c_1170,c_31074]) ).
tcf(c_49830,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X0),X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1169,c_31074]) ).
tcf(c_49831,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1168,c_31074]) ).
tcf(c_49838,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21441,c_31074]) ).
tcf(c_49844,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22511,c_31074]) ).
tcf(c_49845,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22640,c_31074]) ).
tcf(c_49849,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24213,c_31074]) ).
tcf(c_49851,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0),X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_24400,c_31074]) ).
tcf(c_49864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X3,X0),X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_26335,c_31074]) ).
tcf(c_49865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X3,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_26336,c_31074]) ).
tcf(c_49868,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26418,c_31074]) ).
tcf(c_49873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X0),X0),X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_26504,c_31074]) ).
tcf(c_49874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X0),X0),X3,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_26505,c_31074]) ).
tcf(c_49877,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26577,c_31074]) ).
tcf(c_49891,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_28027,c_31074]) ).
tcf(c_49898,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_32150,c_31074]) ).
tcf(c_49899,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_30359,c_31074]) ).
tcf(c_49901,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_30744,c_31074]) ).
tcf(c_49903,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_31818,c_31074]) ).
tcf(c_49904,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_33005,c_31074]) ).
tcf(c_49905,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_33007,c_31074]) ).
tcf(c_49984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1),X2,X1) ),
inference(superposition,[status(thm)],[c_49830,c_1191]) ).
tcf(c_49985,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X0),X0),X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_49830,c_1265]) ).
tcf(c_49988,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ozero__class_Ozero(X0),X0)
| ( c_HOL_Ozero__class_Ozero(X0) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(superposition,[status(thm)],[c_49830,c_1051]) ).
tcf(c_49991,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),X2,tc_nat) = c_Divides_Odiv__class_Omod(X0,X2,tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_49830,c_12546]) ).
tcf(c_49992,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_49830,c_12548]) ).
tcf(c_49993,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_49830,c_12550]) ).
tcf(c_50000,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_49830,c_24488]) ).
tcf(c_50007,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_50000,c_964]) ).
tcf(c_50011,plain,
! [X0: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(light_normalisation,[status(thm)],[c_49992,c_903]) ).
tcf(c_50019,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),X2,tc_nat) = c_Divides_Odiv__class_Omod(X0,X2,tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_49991,c_1131]) ).
tcf(c_50048,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38172,c_49831]) ).
tcf(c_50049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),X2,X0) ),
inference(superposition,[status(thm)],[c_49831,c_1191]) ).
tcf(c_50050,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_49831,c_1265]) ).
tcf(c_50056,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),X2,tc_nat) = c_Divides_Odiv__class_Omod(X0,X2,tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_49831,c_12546]) ).
tcf(c_50057,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_49831,c_12548]) ).
tcf(c_50058,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_49831,c_12550]) ).
tcf(c_50059,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_49831,c_12552]) ).
tcf(c_50065,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_49831,c_24488]) ).
tcf(c_50072,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_50065,c_964]) ).
tcf(c_50081,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),X2,tc_nat) = c_Divides_Odiv__class_Omod(X0,X2,tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_50056,c_1131]) ).
tcf(c_50111,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_31817]) ).
tcf(c_50112,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_31817]) ).
tcf(c_50113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_31817]) ).
tcf(c_50116,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_915,c_31817]) ).
tcf(c_50120,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_902,c_31817]) ).
tcf(c_50122,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_915,c_31817]) ).
tcf(c_50124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_31817]) ).
tcf(c_50126,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1128,c_31817]) ).
tcf(c_50127,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_31817]) ).
tcf(c_50128,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_31817]) ).
tcf(c_50129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_31817,c_1191]) ).
tcf(c_50130,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_31817,c_1265]) ).
tcf(c_50132,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_31817,c_1182]) ).
tcf(c_50135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat),
inference(superposition,[status(thm)],[c_31817,c_12546]) ).
tcf(c_50136,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_31817,c_12548]) ).
tcf(c_50137,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_31817,c_26394]) ).
tcf(c_50138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_31817,c_26574]) ).
tcf(c_50139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_31817,c_26415]) ).
tcf(c_50140,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_31817,c_31859]) ).
tcf(c_50145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat),X3,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50129,c_1131]) ).
tcf(c_50234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
| ( c_HOL_Ozero__class_Ozero(X2) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ class_Ring__and__Field_Oidom(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) ),
inference(superposition,[status(thm)],[c_1171,c_1052]) ).
tcf(c_50235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
| ( c_HOL_Ozero__class_Ozero(X2) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ class_Ring__and__Field_Oidom(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2) ),
inference(superposition,[status(thm)],[c_1170,c_1052]) ).
tcf(c_50236,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
| ( c_HOL_Ozero__class_Ozero(X0) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(superposition,[status(thm)],[c_1168,c_1052]) ).
tcf(c_50238,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_21292,c_1052]) ).
tcf(c_50240,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22227,c_1052]) ).
tcf(c_50243,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_35518,c_1052]) ).
tcf(c_50244,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_34272,c_1052]) ).
tcf(c_50245,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_34105,c_1052]) ).
tcf(c_50246,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_24408,c_1052]) ).
tcf(c_50247,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_25981,c_1052]) ).
tcf(c_50248,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25975,c_1052]) ).
tcf(c_50249,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26303,c_1052]) ).
tcf(c_50250,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_26306,c_1052]) ).
tcf(c_50252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0),X0)
| ( c_HOL_Ozero__class_Ozero(X0) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(superposition,[status(thm)],[c_26336,c_1052]) ).
tcf(c_50253,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_34270,c_1052]) ).
tcf(c_50254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_34265,c_1052]) ).
tcf(c_50255,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_35635,c_1052]) ).
tcf(c_50256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_34271,c_1052]) ).
tcf(c_50258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0),X0)
| ( c_HOL_Ozero__class_Ozero(X0) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(superposition,[status(thm)],[c_26505,c_1052]) ).
tcf(c_50267,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_48394,c_1052]) ).
tcf(c_50268,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_29492,c_1052]) ).
tcf(c_50270,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_33007,c_1052]) ).
tcf(c_50271,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_902,c_1052]) ).
tcf(c_50275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X3,tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X2 )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_1052]) ).
tcf(c_50276,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1129,c_1052]) ).
tcf(c_50277,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1128,c_1052]) ).
tcf(c_50279,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_1052]) ).
tcf(c_50280,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_1052]) ).
tcf(c_50281,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_10643,c_1052]) ).
tcf(c_50282,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6607,c_1052]) ).
tcf(c_50283,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21364,c_1052]) ).
tcf(c_50284,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21375,c_1052]) ).
tcf(c_50285,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21402,c_1052]) ).
tcf(c_50288,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23285,c_1052]) ).
tcf(c_50290,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_24387,c_1052]) ).
tcf(c_50291,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_37008,c_1052]) ).
tcf(c_50292,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_37317,c_1052]) ).
tcf(c_50294,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),X0,tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_26936,c_1052]) ).
tcf(c_50295,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)) )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_37007,c_1052]) ).
tcf(c_50296,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),X1,tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_37316,c_1052]) ).
tcf(c_50297,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38172,c_1052]) ).
tcf(c_50302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_1052]) ).
tcf(c_50303,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1129,c_1052]) ).
tcf(c_50304,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1128,c_1052]) ).
tcf(c_50306,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_1052]) ).
tcf(c_50307,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_1052]) ).
tcf(c_50309,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6607,c_1052]) ).
tcf(c_50310,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21364,c_1052]) ).
tcf(c_50311,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21375,c_1052]) ).
tcf(c_50312,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21402,c_1052]) ).
tcf(c_50315,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23285,c_1052]) ).
tcf(c_50318,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_37008,c_1052]) ).
tcf(c_50319,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_37317,c_1052]) ).
tcf(c_50322,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)) )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)),X1,tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_37007,c_1052]) ).
tcf(c_50323,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_nat)),X1,tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_37316,c_1052]) ).
tcf(c_50324,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38172,c_1052]) ).
tcf(c_50333,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50249,c_1046]) ).
tcf(c_50337,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50248,c_1046]) ).
tcf(c_50349,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50245,c_1046]) ).
tcf(c_50353,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50311,c_1046]) ).
tcf(c_50374,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50283,c_1046]) ).
tcf(c_50378,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50281,c_1046]) ).
tcf(c_50382,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50277,c_21190]) ).
tcf(c_50390,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_50244,c_21980,c_33421]) ).
tcf(c_50391,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50390,c_1046]) ).
tcf(c_50395,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_50243,c_10640]) ).
tcf(c_50396,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50395,c_1046]) ).
tcf(c_50400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50256,c_1046]) ).
tcf(c_50404,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50255,c_1046]) ).
tcf(c_50408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_50254,c_34526]) ).
tcf(c_50409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50408,c_1046]) ).
tcf(c_50413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_50253,c_38490]) ).
tcf(c_50414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50413,c_1046]) ).
tcf(c_50428,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50312,c_1046]) ).
tcf(c_50432,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50285,c_1046]) ).
tcf(c_50446,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50282,c_1046]) ).
tcf(c_50450,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_50315,c_23285]) ).
tcf(c_50451,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50450,c_1046]) ).
tcf(c_50455,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50288,c_1046]) ).
tcf(c_50493,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50324,c_1046]) ).
tcf(c_50498,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50297,c_1046]) ).
tcf(c_50503,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50307,c_1090]) ).
tcf(c_50507,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50280,c_1090]) ).
tcf(c_50540,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_903,c_1081]) ).
tcf(c_50541,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_915,c_1081]) ).
tcf(c_50543,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_1128,c_1081]) ).
tcf(c_50550,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_915,c_1081]) ).
tcf(c_50552,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1128,c_1081]) ).
tcf(c_50554,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_997,c_1081]) ).
tcf(c_50556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_999,c_1081]) ).
tcf(c_50557,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_994,c_1081]) ).
tcf(c_50558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1081,c_21819]) ).
tcf(c_50559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1081,c_21631]) ).
tcf(c_50560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_1081,c_1106]) ).
tcf(c_50561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1081,c_25164]) ).
tcf(c_50562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1081,c_25065]) ).
tcf(c_50563,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1081,c_21595]) ).
tcf(c_50564,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1081,c_12054]) ).
tcf(c_50565,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1081,c_913]) ).
tcf(c_50570,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1081,c_27188]) ).
tcf(c_50571,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1081,c_24740]) ).
tcf(c_50574,plain,
! [X0: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_1081,c_32434]) ).
tcf(c_50699,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) != c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_915,c_1113]) ).
tcf(c_50701,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oone__class_Oone(tc_nat) = X1 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_1128,c_1113]) ).
tcf(c_50703,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat) != c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_997,c_1113]) ).
tcf(c_50705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X2,tc_nat) != c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X3,tc_nat) ) ),
inference(superposition,[status(thm)],[c_999,c_1113]) ).
tcf(c_50706,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) != c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_994,c_1113]) ).
tcf(c_50727,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_902,c_1176]) ).
tcf(c_50728,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_903,c_1176]) ).
tcf(c_50729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_915,c_1176]) ).
tcf(c_50731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_1176]) ).
tcf(c_50732,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_1129,c_1176]) ).
tcf(c_50733,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_1128,c_1176]) ).
tcf(c_50735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_1176]) ).
tcf(c_50736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_1176]) ).
tcf(c_50737,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_10643,c_1176]) ).
tcf(c_50738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6607,c_1176]) ).
tcf(c_50739,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21364,c_1176]) ).
tcf(c_50740,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21375,c_1176]) ).
tcf(c_50741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21402,c_1176]) ).
tcf(c_50742,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21443,c_1176]) ).
tcf(c_50743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22325,c_1176]) ).
tcf(c_50744,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23285,c_1176]) ).
tcf(c_50745,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X2,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_24109,c_1176]) ).
tcf(c_50746,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_24387,c_1176]) ).
tcf(c_50747,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_37008,c_1176]) ).
tcf(c_50748,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_37317,c_1176]) ).
tcf(c_50749,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),c_HOL_Otimes__class_Otimes(X2,X0,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),X0,tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_26691,c_1176]) ).
tcf(c_50750,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),X0,tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_26936,c_1176]) ).
tcf(c_50751,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),X0,tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_37007,c_1176]) ).
tcf(c_50752,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),X0,tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_37316,c_1176]) ).
tcf(c_50753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38172,c_1176]) ).
tcf(c_50754,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_902,c_1176]) ).
tcf(c_50755,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_903,c_1176]) ).
tcf(c_50756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_915,c_1176]) ).
tcf(c_50758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_1176]) ).
tcf(c_50759,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1129,c_1176]) ).
tcf(c_50760,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1128,c_1176]) ).
tcf(c_50762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_1176]) ).
tcf(c_50763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_1176]) ).
tcf(c_50764,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_10643,c_1176]) ).
tcf(c_50765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6607,c_1176]) ).
tcf(c_50766,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21364,c_1176]) ).
tcf(c_50767,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21375,c_1176]) ).
tcf(c_50768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21402,c_1176]) ).
tcf(c_50769,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21443,c_1176]) ).
tcf(c_50770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22325,c_1176]) ).
tcf(c_50771,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23285,c_1176]) ).
tcf(c_50772,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_24109,c_1176]) ).
tcf(c_50773,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_24387,c_1176]) ).
tcf(c_50774,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_37008,c_1176]) ).
tcf(c_50775,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_37317,c_1176]) ).
tcf(c_50776,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_nat)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_26691,c_1176]) ).
tcf(c_50777,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_nat)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_26936,c_1176]) ).
tcf(c_50778,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_nat)),X2,tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_37007,c_1176]) ).
tcf(c_50779,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_nat)),X2,tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_37316,c_1176]) ).
tcf(c_50780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38172,c_1176]) ).
tcf(c_50781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X4,X5,X2),X3,X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X5,X1,X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X0,X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) ),
inference(superposition,[status(thm)],[c_1176,c_1191]) ).
tcf(c_50784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_1176,c_1173]) ).
tcf(c_50785,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_1176,c_1172]) ).
tcf(c_50786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X4,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X4,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1176,c_12546]) ).
tcf(c_50787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1176,c_12548]) ).
tcf(c_50788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X4,c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X4,c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_1176,c_12550]) ).
tcf(c_50789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_1176,c_12552]) ).
tcf(c_50790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1176,c_26571]) ).
tcf(c_50791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1176,c_26409]) ).
tcf(c_50792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1176,c_26574]) ).
tcf(c_50793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_1176,c_26415]) ).
tcf(c_50794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50793,c_1131]) ).
tcf(c_50798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50792,c_1131]) ).
tcf(c_50802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50791,c_964]) ).
tcf(c_50806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50790,c_964]) ).
tcf(c_50818,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50767,c_964]) ).
tcf(c_50822,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50766,c_964]) ).
tcf(c_50826,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50760,c_1131]) ).
tcf(c_50830,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50759,c_1131]) ).
tcf(c_50838,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50742,c_964]) ).
tcf(c_50842,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50737,c_964]) ).
tcf(c_50846,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50728,c_1131]) ).
tcf(c_50850,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50727,c_1131]) ).
tcf(c_50854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50770,c_964]) ).
tcf(c_50858,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50756,c_1131]) ).
tcf(c_50862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50743,c_964]) ).
tcf(c_50866,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50729,c_1131]) ).
tcf(c_50870,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50771,c_964]) ).
tcf(c_50874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50768,c_964]) ).
tcf(c_50878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50765,c_964]) ).
tcf(c_50882,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50744,c_964,c_22155]) ).
tcf(c_50885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50741,c_964]) ).
tcf(c_50889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50738,c_964]) ).
tcf(c_50893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50787,c_1131]) ).
tcf(c_50913,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_nat)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50752,c_37149]) ).
tcf(c_50917,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_nat)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50751,c_37149]) ).
tcf(c_50921,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50748,c_29497]) ).
tcf(c_50925,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50747,c_29497]) ).
tcf(c_50934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50780,c_964]) ).
tcf(c_50939,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50753,c_964]) ).
tcf(c_50944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50758,c_1131]) ).
tcf(c_50964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50731,c_1131]) ).
tcf(c_50968,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50763,c_1131]) ).
tcf(c_50972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50762,c_1131]) ).
tcf(c_50976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50736,c_1131]) ).
tcf(c_50980,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50735,c_1131]) ).
tcf(c_50988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X4,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X4,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50786,c_1131]) ).
tcf(c_51227,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_31820]) ).
tcf(c_51228,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_994,c_31820]) ).
tcf(c_51229,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_31820]) ).
tcf(c_51230,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_31820]) ).
tcf(c_51231,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_31820]) ).
tcf(c_51233,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_31820]) ).
tcf(c_51234,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_902,c_31820]) ).
tcf(c_51238,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_31820]) ).
tcf(c_51239,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1129,c_31820]) ).
tcf(c_51240,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1128,c_31820]) ).
tcf(c_51241,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_31820]) ).
tcf(c_51242,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_31820]) ).
tcf(c_51243,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_31820,c_1191]) ).
tcf(c_51244,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_31820,c_1265]) ).
tcf(c_51246,plain,
! [X0: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_31820,c_1182]) ).
tcf(c_51249,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat),
inference(superposition,[status(thm)],[c_31820,c_12546]) ).
tcf(c_51250,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_31820,c_12548]) ).
tcf(c_51251,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_31820,c_26394]) ).
tcf(c_51252,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_31820,c_26574]) ).
tcf(c_51253,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_31820,c_26415]) ).
tcf(c_51254,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_31820,c_31859]) ).
tcf(c_51257,plain,
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(light_normalisation,[status(thm)],[c_51246,c_903]) ).
tcf(c_51258,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_51257,c_1131]) ).
tcf(c_51259,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),X2,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51243,c_1131]) ).
tcf(c_51264,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_51231,c_30397]) ).
tcf(c_51265,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_51242,c_30729]) ).
tcf(c_51299,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_51239]) ).
tcf(c_51301,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_51239]) ).
tcf(c_51302,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_51239]) ).
tcf(c_51303,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_51239]) ).
tcf(c_51304,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_51239]) ).
tcf(c_51308,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_51239]) ).
tcf(c_51309,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_51239]) ).
tcf(c_51310,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_51239,c_1191]) ).
tcf(c_51311,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_51239,c_1265]) ).
tcf(c_51312,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_51239,c_31074]) ).
tcf(c_51316,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat),
inference(superposition,[status(thm)],[c_51239,c_12546]) ).
tcf(c_51317,plain,
! [X0: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_51239,c_12548]) ).
tcf(c_51318,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_51239,c_26394]) ).
tcf(c_51319,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_51239,c_26574]) ).
tcf(c_51320,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_51239,c_26415]) ).
tcf(c_51321,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_51239,c_31859]) ).
tcf(c_51324,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51310,c_1131]) ).
tcf(c_51382,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),tc_nat),tc_nat),
inference(demodulation,[status(thm)],[c_31855,c_36648]) ).
tcf(c_51384,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_31881]) ).
tcf(c_51385,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_994,c_31881]) ).
tcf(c_51386,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_31881]) ).
tcf(c_51387,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_31881]) ).
tcf(c_51388,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_31881]) ).
tcf(c_51390,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_31881]) ).
tcf(c_51391,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_902,c_31881]) ).
tcf(c_51395,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_31881]) ).
tcf(c_51398,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_31881]) ).
tcf(c_51399,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_31881]) ).
tcf(c_51400,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_31881,c_1191]) ).
tcf(c_51401,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_31881,c_1265]) ).
tcf(c_51403,plain,
! [X0: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_31881,c_1182]) ).
tcf(c_51405,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_31881,c_1172]) ).
tcf(c_51406,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat),
inference(superposition,[status(thm)],[c_31881,c_12546]) ).
tcf(c_51407,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_31881,c_12548]) ).
tcf(c_51408,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_31881,c_26394]) ).
tcf(c_51409,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_31881,c_26574]) ).
tcf(c_51410,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_31881,c_26415]) ).
tcf(c_51411,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_31881,c_31859]) ).
tcf(c_51415,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),X2,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51400,c_1131]) ).
tcf(c_51418,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_51409,c_27577]) ).
tcf(c_51421,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(light_normalisation,[status(thm)],[c_51405,c_27577]) ).
tcf(c_51423,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_51395,c_30717]) ).
tcf(c_51424,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_51388,c_30791]) ).
tcf(c_51425,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_51398,c_30720]) ).
tcf(c_51434,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_32142,c_7667]) ).
tcf(c_51435,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_32142,c_7562]) ).
tcf(c_51436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_32142,c_7788]) ).
tcf(c_51438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_32142,c_7776]) ).
tcf(c_51439,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_32142,c_7661]) ).
tcf(c_51440,plain,
! [X0: $i] : c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_32142,c_7632]) ).
tcf(c_51441,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_32142,c_7568]) ).
tcf(c_51442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_32142,c_7788]) ).
tcf(c_51443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_32142,c_7776]) ).
tcf(c_51444,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(light_normalisation,[status(thm)],[c_51441,c_24387]) ).
tcf(c_51445,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(light_normalisation,[status(thm)],[c_51439,c_26924]) ).
tcf(c_51446,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(light_normalisation,[status(thm)],[c_51435,c_24109]) ).
tcf(c_51447,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(light_normalisation,[status(thm)],[c_51434,c_27119]) ).
tcf(c_51506,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_32160,c_7667]) ).
tcf(c_51507,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_32160,c_7562]) ).
tcf(c_51508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_32160,c_7788]) ).
tcf(c_51510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_32160,c_7776]) ).
tcf(c_51511,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_32160,c_7661]) ).
tcf(c_51513,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_32160,c_7568]) ).
tcf(c_51514,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_32160,c_7788]) ).
tcf(c_51515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(X3,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ( c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_32160,c_7776]) ).
tcf(c_51517,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(light_normalisation,[status(thm)],[c_51507,c_23394]) ).
tcf(c_51518,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(light_normalisation,[status(thm)],[c_51506,c_25326]) ).
tcf(c_51642,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_10643,c_32788]) ).
tcf(c_51643,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6607,c_32788]) ).
tcf(c_51646,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21402,c_32788]) ).
tcf(c_51650,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38172,c_32788]) ).
tcf(c_51652,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_32788,c_1267]) ).
tcf(c_51655,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_32788,c_1172]) ).
tcf(c_51656,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_32788,c_24550]) ).
tcf(c_51657,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_32788,c_24485]) ).
tcf(c_51658,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_32788,c_25968]) ).
tcf(c_51659,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_32788,c_26571]) ).
tcf(c_51676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_21537,c_34460]) ).
tcf(c_51680,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10643,c_51676]) ).
tcf(c_51681,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21375,c_51676]) ).
tcf(c_51682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_51676]) ).
tcf(c_51683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22325,c_51676]) ).
tcf(c_51685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_51676]) ).
tcf(c_51686,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6492,c_51676]) ).
tcf(c_51687,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_51676]) ).
tcf(c_51688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_51676]) ).
tcf(c_51689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_51676]) ).
tcf(c_51690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6619,c_51676]) ).
tcf(c_51691,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6631,c_51676]) ).
tcf(c_51692,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_51676]) ).
tcf(c_51693,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6654,c_51676]) ).
tcf(c_51694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6683,c_51676]) ).
tcf(c_51695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_51676]) ).
tcf(c_51696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_51676]) ).
tcf(c_51697,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_51676]) ).
tcf(c_51698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21433,c_51676]) ).
tcf(c_51699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22175,c_51676]) ).
tcf(c_51700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21435,c_51676]) ).
tcf(c_51701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_51676]) ).
tcf(c_51702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_51676]) ).
tcf(c_51703,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6492,c_51676]) ).
tcf(c_51704,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_51676]) ).
tcf(c_51705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_51676]) ).
tcf(c_51706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_51676]) ).
tcf(c_51707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X5,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6619,c_51676]) ).
tcf(c_51708,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6631,c_51676]) ).
tcf(c_51709,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_51676]) ).
tcf(c_51710,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6654,c_51676]) ).
tcf(c_51711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X5,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6683,c_51676]) ).
tcf(c_51712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_51676]) ).
tcf(c_51713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_51676]) ).
tcf(c_51714,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_51676]) ).
tcf(c_51715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21433,c_51676]) ).
tcf(c_51716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22175,c_51676]) ).
tcf(c_51717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21435,c_51676]) ).
tcf(c_51718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_51676]) ).
tcf(c_51719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_51676,c_1017]) ).
tcf(c_51721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_51676,c_1362]) ).
tcf(c_51722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex) )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_51676,c_1281]) ).
tcf(c_51723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_51676,c_1280]) ).
tcf(c_51724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_51676,c_1185]) ).
tcf(c_51725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex) = X4 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_51676,c_1359]) ).
tcf(c_51726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_51676,c_30118]) ).
tcf(c_51727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_51676,c_29718]) ).
tcf(c_51728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_51676,c_29700]) ).
tcf(c_51729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_51676,c_25686]) ).
tcf(c_51730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_51676,c_22768]) ).
tcf(c_51731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_51676,c_22588]) ).
tcf(c_51733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_51676,c_30118]) ).
tcf(c_51734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_51676,c_29718]) ).
tcf(c_51735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_51676,c_29700]) ).
tcf(c_51736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_51676,c_25699]) ).
tcf(c_51737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_51676,c_22336]) ).
tcf(c_51741,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_51710,c_47923]) ).
tcf(c_51744,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_51687,c_6607,c_21364,c_22429]) ).
tcf(c_51745,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_51686,c_21443]) ).
tcf(c_51746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_51683,c_34460]) ).
tcf(c_51747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_51682,c_46027]) ).
tcf(c_51751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51723,c_1269]) ).
tcf(c_51754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51722,c_1269]) ).
tcf(c_51757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51721,c_1350,c_1046]) ).
tcf(c_51760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51724,c_964]) ).
tcf(c_51764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51719,c_1011]) ).
tcf(c_51767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51725,c_1350,c_1046]) ).
tcf(c_52000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) = X3 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) != c_HOL_Oplus__class_Oplus(X0,X3,tc_nat) ) ),
inference(superposition,[status(thm)],[c_997,c_1018]) ).
tcf(c_52002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X3,tc_nat) = X4 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X2,X4,tc_nat) ) ),
inference(superposition,[status(thm)],[c_999,c_1018]) ).
tcf(c_52003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) = X3 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,X3,tc_nat) ) ),
inference(superposition,[status(thm)],[c_998,c_1018]) ).
tcf(c_52005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = X2 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_994,c_1018]) ).
tcf(c_52006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X2 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_5328,c_1018]) ).
tcf(c_52007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X2 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_5328,c_1018]) ).
tcf(c_52008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X2,X1,tc_Complex_Ocomplex) = X3 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22336,c_1018]) ).
tcf(c_52010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = X3 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_26127,c_1018]) ).
tcf(c_52011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = X2 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21412,c_1018]) ).
tcf(c_52012,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X2 )
| ~ class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Oplus__class_Oplus(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_26924,c_1018]) ).
tcf(c_52013,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),X1,tc_Polynomial_Opoly(tc_nat)) = X2 )
| ~ class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_nat)) != c_HOL_Oplus__class_Oplus(X0,X2,tc_Polynomial_Opoly(tc_nat)) ) ),
inference(superposition,[status(thm)],[c_37535,c_1018]) ).
tcf(c_52015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) = X3 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X1,X3,tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_1018]) ).
tcf(c_52016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat) = X4 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X4,tc_nat) ) ),
inference(superposition,[status(thm)],[c_919,c_1018]) ).
tcf(c_52017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) = X4 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X4,tc_nat) ) ),
inference(superposition,[status(thm)],[c_918,c_1018]) ).
tcf(c_52018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X3 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat) ) ),
inference(superposition,[status(thm)],[c_997,c_1018]) ).
tcf(c_52019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X3,tc_nat) = X4 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X4,tc_nat) ) ),
inference(superposition,[status(thm)],[c_999,c_1018]) ).
tcf(c_52020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat) = X4 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X2,X4,tc_nat) ) ),
inference(superposition,[status(thm)],[c_998,c_1018]) ).
tcf(c_52022,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X2 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_996,c_1018]) ).
tcf(c_52023,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_994,c_1018]) ).
tcf(c_52024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = X3 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X1,X3,tc_nat) ) ),
inference(superposition,[status(thm)],[c_5328,c_1018]) ).
tcf(c_52025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) = X3 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_1018]) ).
tcf(c_52026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat) = X3 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X1,X3,tc_nat) ) ),
inference(superposition,[status(thm)],[c_5328,c_1018]) ).
tcf(c_52027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X4 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6613,c_1018]) ).
tcf(c_52029,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X2 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21386,c_1018]) ).
tcf(c_52030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X3 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X1,X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_25380,c_1018]) ).
tcf(c_52031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) = X3 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X2,X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22336,c_1018]) ).
tcf(c_52032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) = X3 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_26127,c_1018]) ).
tcf(c_52033,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21412,c_1018]) ).
tcf(c_52034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X3 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X2,X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22947,c_1018]) ).
tcf(c_52035,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X2 )
| ~ class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_27119,c_1018]) ).
tcf(c_52036,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_26924,c_1018]) ).
tcf(c_52037,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) = X2 )
| ~ class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_nat)) != c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(tc_nat)) ) ),
inference(superposition,[status(thm)],[c_37458,c_1018]) ).
tcf(c_52038,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(tc_nat)) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),X0,tc_Polynomial_Opoly(tc_nat)) != c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(tc_nat)) ) ),
inference(superposition,[status(thm)],[c_37535,c_1018]) ).
tcf(c_52039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X5 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_51676,c_1018]) ).
tcf(c_52041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Oplus__class_Oplus(X2,X3,tc_nat) )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_1018]) ).
tcf(c_52042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,X4,tc_nat) = c_HOL_Oplus__class_Oplus(X0,X3,tc_nat) )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X4,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_919,c_1018]) ).
tcf(c_52043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Otimes__class_Otimes(X4,X2,tc_nat) = c_HOL_Oplus__class_Oplus(X0,X3,tc_nat) )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,tc_nat),X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_918,c_1018]) ).
tcf(c_52044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) = X3 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X3,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_997,c_1018]) ).
tcf(c_52045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X3,tc_nat) = X4 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_999,c_1018]) ).
tcf(c_52046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) = c_HOL_Oplus__class_Oplus(X3,X4,tc_nat) )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X1,X4,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_998,c_1018]) ).
tcf(c_52048,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X2 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat) != X2 ) ),
inference(superposition,[status(thm)],[c_994,c_1018]) ).
tcf(c_52049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X2,X3,tc_nat) )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_5328,c_1018]) ).
tcf(c_52050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Oplus__class_Oplus(X2,X3,tc_nat) )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_1018]) ).
tcf(c_52051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat) = c_HOL_Oplus__class_Oplus(X2,X3,tc_nat) )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_5328,c_1018]) ).
tcf(c_52052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,X3,tc_Complex_Ocomplex) )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X4,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6613,c_1018]) ).
tcf(c_52054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X2,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex) )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(X1,X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_25380,c_1018]) ).
tcf(c_52055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X2,tc_Complex_Ocomplex) = X3 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X3,X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22336,c_1018]) ).
tcf(c_52056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X2,tc_Complex_Ocomplex) = X3 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(X3,X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_26127,c_1018]) ).
tcf(c_52057,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) = X2 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != X2 ) ),
inference(superposition,[status(thm)],[c_21412,c_1018]) ).
tcf(c_52058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ominus__class_Ominus(X3,X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,X2,tc_Complex_Ocomplex) )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != X3 ) ),
inference(superposition,[status(thm)],[c_22947,c_1018]) ).
tcf(c_52059,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X2 )
| ~ class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != X2 ) ),
inference(superposition,[status(thm)],[c_26924,c_1018]) ).
tcf(c_52060,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_nat)) = X2 )
| ~ class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),X1,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) != X2 ) ),
inference(superposition,[status(thm)],[c_37535,c_1018]) ).
tcf(c_52061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Oinverse__class_Odivide(X5,X3,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,X4,tc_Complex_Ocomplex) )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_51676,c_1018]) ).
tcf(c_52063,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != X2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52057,c_1011]) ).
tcf(c_52068,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_52029,c_21386]) ).
tcf(c_52071,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_52022,c_996]) ).
tcf(c_52075,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,X2,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52011,c_1011]) ).
tcf(c_52081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ominus__class_Ominus(X3,X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,X2,tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != X3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52058,c_1011]) ).
tcf(c_52084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X2,tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X3,X1,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52055,c_1011]) ).
tcf(c_52090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X2,X3,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52034,c_1011]) ).
tcf(c_52093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X2,X3,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52031,c_1011]) ).
tcf(c_52099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X2,X1,tc_Complex_Ocomplex) = X3 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,X3,tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_52008,c_39797]) ).
tcf(c_52100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X2,X1,tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,X3,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52099,c_1011]) ).
tcf(c_52106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X2,X0,tc_nat) = X3 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X1,X3,tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_52000,c_28498]) ).
tcf(c_52110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X2,tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(X3,X1,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52056,c_1011]) ).
tcf(c_52113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X2,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(X1,X3,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52054,c_1011]) ).
tcf(c_52116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52032,c_1011]) ).
tcf(c_52119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X1,X3,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52030,c_1011]) ).
tcf(c_52122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,X3,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52010,c_1011]) ).
tcf(c_52138,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_nat)) != c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(tc_nat)) ) ),
inference(light_normalisation,[status(thm)],[c_52037,c_37458]) ).
tcf(c_52143,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(light_normalisation,[status(thm)],[c_52035,c_27119]) ).
tcf(c_52192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,X3,tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X4,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52052,c_1011]) ).
tcf(c_52201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52027,c_1011]) ).
tcf(c_52210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Oinverse__class_Odivide(X5,X3,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,X4,tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52061,c_1011]) ).
tcf(c_52213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52039,c_1011]) ).
tcf(c_52486,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_902,c_1047]) ).
tcf(c_52488,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X2 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ouminus__class_Ouminus(X2,tc_nat) )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X2,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_920,c_1047]) ).
tcf(c_52489,plain,
! [X0: $i] :
( ( c_HOL_Oone__class_Oone(tc_nat) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X0,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_1129,c_1047]) ).
tcf(c_52493,plain,
! [X0: $i] :
( ( c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,X0,tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21364,c_1047]) ).
tcf(c_52495,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X1,X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21402,c_1047]) ).
tcf(c_52496,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21443,c_1047]) ).
tcf(c_52497,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X0,X0,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23285,c_1047]) ).
tcf(c_52498,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Otimes__class_Otimes(X0,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_24109,c_1047]) ).
tcf(c_52500,plain,
! [X0: $i] :
( ( c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Otimes__class_Otimes(X0,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_37008,c_1047]) ).
tcf(c_52502,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_nat)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Otimes__class_Otimes(X0,X0,tc_Polynomial_Opoly(tc_nat)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) ) ),
inference(superposition,[status(thm)],[c_26691,c_1047]) ).
tcf(c_52504,plain,
! [X0: $i] :
( ( c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_nat)) = c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)) )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Otimes__class_Otimes(X0,X0,tc_Polynomial_Opoly(tc_nat)) != c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)) ) ),
inference(superposition,[status(thm)],[c_37007,c_1047]) ).
tcf(c_52506,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X1,X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_1047]) ).
tcf(c_52507,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_902,c_1047]) ).
tcf(c_52509,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X2 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) = X2 )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X2,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_920,c_1047]) ).
tcf(c_52510,plain,
! [X0: $i] :
( ( c_HOL_Oone__class_Oone(tc_nat) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X0,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_1129,c_1047]) ).
tcf(c_52514,plain,
! [X0: $i] :
( ( c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,X0,tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21364,c_1047]) ).
tcf(c_52516,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X1,X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21402,c_1047]) ).
tcf(c_52517,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21443,c_1047]) ).
tcf(c_52518,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X0,X0,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23285,c_1047]) ).
tcf(c_52519,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Otimes__class_Otimes(X0,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_24109,c_1047]) ).
tcf(c_52521,plain,
! [X0: $i] :
( ( c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Otimes__class_Otimes(X0,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_37008,c_1047]) ).
tcf(c_52523,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Otimes__class_Otimes(X0,X0,tc_Polynomial_Opoly(tc_nat)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) ) ),
inference(superposition,[status(thm)],[c_26691,c_1047]) ).
tcf(c_52525,plain,
! [X0: $i] :
( ( c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Otimes__class_Otimes(X0,X0,tc_Polynomial_Opoly(tc_nat)) != c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)) ) ),
inference(superposition,[status(thm)],[c_37007,c_1047]) ).
tcf(c_52527,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X1,X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_1047]) ).
tcf(c_52529,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_52517,c_21455]) ).
tcf(c_52530,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52529,c_1046]) ).
tcf(c_52533,plain,
! [X0: $i] :
( ( c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,X0,tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52514,c_1046]) ).
tcf(c_52545,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52496,c_1046]) ).
tcf(c_52549,plain,
! [X0: $i] :
( ( c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,X0,tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52493,c_1046]) ).
tcf(c_52573,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Otimes__class_Otimes(X0,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(light_normalisation,[status(thm)],[c_52519,c_23752]) ).
tcf(c_52577,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X1,X1,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52516,c_1046]) ).
tcf(c_52597,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X1,X1,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52495,c_1046]) ).
tcf(c_52601,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X0,X0,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52518,c_1046]) ).
tcf(c_52605,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X0,X0,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52497,c_1046]) ).
tcf(c_52609,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X1,X1,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52527,c_1046]) ).
tcf(c_52614,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X1,X1,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52506,c_1046]) ).
tcf(c_52670,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_Polynomial_Odegree(X0,tc_nat),tc_nat) = c_Polynomial_Odegree(c_Polynomial_OpCons(X1,X0,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_1031,c_5978]) ).
tcf(c_52671,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_Polynomial_Odegree(X0,tc_Complex_Ocomplex),tc_nat) = c_Polynomial_Odegree(c_Polynomial_OpCons(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_1030,c_5978]) ).
tcf(c_52672,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))) = X2 )
| ( c_Polynomial_Odegree(c_Polynomial_OpCons(X1,X2,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_Polynomial_Odegree(X2,tc_Polynomial_Opoly(X0)),tc_nat) )
| ~ class_HOL_Ozero(X0) ),
inference(superposition,[status(thm)],[c_1029,c_5978]) ).
tcf(c_52687,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6543,c_32836]) ).
tcf(c_52691,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6543,c_32836]) ).
tcf(c_52695,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_32836,c_1191]) ).
tcf(c_52698,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_32836,c_24488]) ).
tcf(c_52700,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_32836,c_24550]) ).
tcf(c_52709,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52695,c_964]) ).
tcf(c_52766,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_33015]) ).
tcf(c_52767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),tc_nat),X3,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_33015]) ).
tcf(c_52768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),X3,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_33015]) ).
tcf(c_52769,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat),X3,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_33015]) ).
tcf(c_52770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat),tc_nat),X3,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_33015]) ).
tcf(c_52774,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_33015]) ).
tcf(c_52775,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_33015]) ).
tcf(c_52776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),X2,tc_nat),tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_33015,c_1191]) ).
tcf(c_52777,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),X2,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_33015,c_1265]) ).
tcf(c_52779,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_33015,c_1182]) ).
tcf(c_52780,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),X2,tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_33015,c_1051]) ).
tcf(c_52783,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X2,tc_nat),X3,tc_nat),tc_nat),tc_nat),X2,tc_nat) = c_Divides_Odiv__class_Omod(X0,X2,tc_nat),
inference(superposition,[status(thm)],[c_33015,c_12546]) ).
tcf(c_52784,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),X2,tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_33015,c_12548]) ).
tcf(c_52785,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_33015,c_26394]) ).
tcf(c_52786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),X3,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_33015,c_26574]) ).
tcf(c_52787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),X3,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_33015,c_26415]) ).
tcf(c_52788,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_33015,c_31859]) ).
tcf(c_52789,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_52779,c_1131]) ).
tcf(c_52792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),X2,tc_nat),tc_nat),X3,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52776,c_1131]) ).
tcf(c_52821,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_33017]) ).
tcf(c_52822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_33017]) ).
tcf(c_52823,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_33017]) ).
tcf(c_52824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_33017]) ).
tcf(c_52825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_33017]) ).
tcf(c_52829,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_33017]) ).
tcf(c_52830,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_33017]) ).
tcf(c_52831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X2,tc_nat),tc_nat),tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_33017,c_1191]) ).
tcf(c_52832,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_33017,c_1265]) ).
tcf(c_52834,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_33017,c_1182]) ).
tcf(c_52835,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_33017,c_1051]) ).
tcf(c_52838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X3,X3,tc_nat),tc_nat),tc_nat),tc_nat),X3,tc_nat) = c_Divides_Odiv__class_Omod(X0,X3,tc_nat),
inference(superposition,[status(thm)],[c_33017,c_12546]) ).
tcf(c_52839,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X2,tc_nat),tc_nat),tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_33017,c_12548]) ).
tcf(c_52840,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_33017,c_26394]) ).
tcf(c_52841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_33017,c_26574]) ).
tcf(c_52842,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_nat),c_HOL_Otimes__class_Otimes(X3,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_33017,c_26415]) ).
tcf(c_52843,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_33017,c_31859]) ).
tcf(c_52844,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_52834,c_1131]) ).
tcf(c_52847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X2,tc_nat),tc_nat),tc_nat),X3,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52831,c_1131]) ).
tcf(c_52940,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(demodulation,[status(thm)],[c_33023,c_28528]) ).
tcf(c_52941,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_52940]) ).
tcf(c_52943,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_52940]) ).
tcf(c_52945,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_52940]) ).
tcf(c_52946,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_52940]) ).
tcf(c_52947,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_52940]) ).
tcf(c_52948,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_52940]) ).
tcf(c_52952,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_52940]) ).
tcf(c_52953,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_52940]) ).
tcf(c_52954,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_52940,c_1191]) ).
tcf(c_52955,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_52940,c_1265]) ).
tcf(c_52956,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_52940,c_31074]) ).
tcf(c_52957,plain,
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_52940,c_1182]) ).
tcf(c_52960,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat),
inference(superposition,[status(thm)],[c_52940,c_12546]) ).
tcf(c_52961,plain,
! [X0: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_52940,c_12548]) ).
tcf(c_52962,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_52940,c_26394]) ).
tcf(c_52963,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_52940,c_26574]) ).
tcf(c_52964,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_52940,c_26415]) ).
tcf(c_52965,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_52940,c_31859]) ).
tcf(c_52970,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52954,c_1131]) ).
tcf(c_53002,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23285,c_33538]) ).
tcf(c_53003,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38172,c_33538]) ).
tcf(c_53005,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33538,c_1267]) ).
tcf(c_53009,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33538,c_24550]) ).
tcf(c_53010,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33538,c_24485]) ).
tcf(c_53011,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33538,c_25968]) ).
tcf(c_53036,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_Power_Opower__class_Opower(X2,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21309,c_21538]) ).
tcf(c_53037,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21577,c_21538]) ).
tcf(c_53038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_21538]) ).
tcf(c_53039,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6492,c_21538]) ).
tcf(c_53040,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_21538]) ).
tcf(c_53041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_21538]) ).
tcf(c_53042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_21538]) ).
tcf(c_53043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6619,c_21538]) ).
tcf(c_53044,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_Power_Opower__class_Opower(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6631,c_21538]) ).
tcf(c_53045,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_Power_Opower__class_Opower(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_21538]) ).
tcf(c_53046,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6654,c_21538]) ).
tcf(c_53047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6683,c_21538]) ).
tcf(c_53048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_21538]) ).
tcf(c_53049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_21538]) ).
tcf(c_53050,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_21538]) ).
tcf(c_53051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21433,c_21538]) ).
tcf(c_53052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22175,c_21538]) ).
tcf(c_53053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21435,c_21538]) ).
tcf(c_53054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_21538]) ).
tcf(c_53055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_21538]) ).
tcf(c_53056,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_21538]) ).
tcf(c_53057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Power_Opower__class_Opower(X4,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,c_Power_Opower__class_Opower(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_Power_Opower__class_Opower(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_21538]) ).
tcf(c_53058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Power_Opower__class_Opower(X4,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,c_Power_Opower__class_Opower(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X2,c_Power_Opower__class_Opower(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_21538]) ).
tcf(c_53059,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6631,c_21538]) ).
tcf(c_53060,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_21538]) ).
tcf(c_53061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_21538]) ).
tcf(c_53062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X4,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_21538]) ).
tcf(c_53063,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21309,c_21538]) ).
tcf(c_53064,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21577,c_21538]) ).
tcf(c_53065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X3,c_Power_Opower__class_Opower(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X5 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21538,c_1018]) ).
tcf(c_53066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,c_Power_Opower__class_Opower(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21538,c_1017]) ).
tcf(c_53068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oinverse__class_Odivide(X2,c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21538,c_1362]) ).
tcf(c_53069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X2,c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21538,c_1281]) ).
tcf(c_53070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21538,c_1280]) ).
tcf(c_53071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X4,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21538,c_1185]) ).
tcf(c_53072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Oinverse__class_Odivide(X2,c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X4 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21538,c_1359]) ).
tcf(c_53073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Oinverse__class_Odivide(X2,c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X4,X5,tc_Complex_Ocomplex) )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X4,c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21538,c_1018]) ).
tcf(c_53074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21538,c_30118]) ).
tcf(c_53075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21538,c_29718]) ).
tcf(c_53076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21538,c_29700]) ).
tcf(c_53077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21538,c_25686]) ).
tcf(c_53078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X2,c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21538,c_22768]) ).
tcf(c_53079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21538,c_22588]) ).
tcf(c_53081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21538,c_30118]) ).
tcf(c_53082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21538,c_29718]) ).
tcf(c_53083,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21538,c_29700]) ).
tcf(c_53084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21538,c_25699]) ).
tcf(c_53085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21538,c_22336]) ).
tcf(c_53086,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_53063,c_21309]) ).
tcf(c_53087,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_53064,c_21577,c_21623]) ).
tcf(c_53088,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_53087,c_6654]) ).
tcf(c_53089,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_53037,c_21577]) ).
tcf(c_53090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_53082,c_21544]) ).
tcf(c_53091,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_53036,c_21309]) ).
tcf(c_53092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_53083,c_21544]) ).
tcf(c_53093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_53081,c_21544]) ).
tcf(c_53098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53070,c_1269]) ).
tcf(c_53101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X2,c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53069,c_1269]) ).
tcf(c_53104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oinverse__class_Odivide(X2,c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53068,c_1350,c_1046]) ).
tcf(c_53107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X4,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53071,c_964]) ).
tcf(c_53111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,c_Power_Opower__class_Opower(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53066,c_1011]) ).
tcf(c_53114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Oinverse__class_Odivide(X2,c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53072,c_1350,c_1046]) ).
tcf(c_53117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Oinverse__class_Odivide(X2,c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X4,X5,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X4,c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53073,c_1011]) ).
tcf(c_53120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X3,c_Power_Opower__class_Opower(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53065,c_1011]) ).
tcf(c_53370,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),X1,tc_nat),X2,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_902,c_911]) ).
tcf(c_53371,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_903,c_911]) ).
tcf(c_53372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),X3,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X0,tc_nat),X3,tc_nat),
inference(superposition,[status(thm)],[c_915,c_911]) ).
tcf(c_53374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),X4,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X3,tc_nat),X2,tc_nat),X4,tc_nat),
inference(superposition,[status(thm)],[c_920,c_911]) ).
tcf(c_53375,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat),X2,tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1129,c_911]) ).
tcf(c_53376,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1128,c_911]) ).
tcf(c_53377,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),X3,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),X0,tc_nat),X3,tc_nat),
inference(superposition,[status(thm)],[c_1104,c_911]) ).
tcf(c_53378,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X3,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X3,tc_nat),
inference(superposition,[status(thm)],[c_1105,c_911]) ).
tcf(c_53380,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_911]) ).
tcf(c_53381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_911]) ).
tcf(c_53382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_911]) ).
tcf(c_53383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),X1,tc_nat),X2,tc_nat),
inference(superposition,[status(thm)],[c_997,c_911]) ).
tcf(c_53384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),X4,tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X4,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_911]) ).
tcf(c_53387,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_996,c_911]) ).
tcf(c_53388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X3,tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_911]) ).
tcf(c_53389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_911]) ).
tcf(c_53390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_911]) ).
tcf(c_53391,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat),X2,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_902,c_911]) ).
tcf(c_53392,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_903,c_911]) ).
tcf(c_53393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),X3,tc_nat),
inference(superposition,[status(thm)],[c_915,c_911]) ).
tcf(c_53395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat),X4,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),X1,tc_nat),X4,tc_nat),
inference(superposition,[status(thm)],[c_920,c_911]) ).
tcf(c_53396,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),X2,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1129,c_911]) ).
tcf(c_53397,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1128,c_911]) ).
tcf(c_53398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),X3,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X1,tc_nat),X3,tc_nat),
inference(superposition,[status(thm)],[c_1104,c_911]) ).
tcf(c_53399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),X3,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X3,tc_nat),
inference(superposition,[status(thm)],[c_1105,c_911]) ).
tcf(c_53400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X4,tc_nat),tc_nat) = X5 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X5,tc_nat) ) ),
inference(superposition,[status(thm)],[c_911,c_1018]) ).
tcf(c_53401,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X4,tc_nat),tc_nat) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X1,X3,tc_nat) ) ),
inference(superposition,[status(thm)],[c_911,c_1017]) ).
tcf(c_53402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),X3,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_911,c_26982]) ).
tcf(c_53403,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X5,tc_nat)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat) != c_HOL_Oplus__class_Oplus(X4,X5,tc_nat) ) ),
inference(superposition,[status(thm)],[c_911,c_981]) ).
tcf(c_53404,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),X3,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_911,c_25123]) ).
tcf(c_53405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_911,c_6244]) ).
tcf(c_53406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_911,c_6134]) ).
tcf(c_53407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_911,c_6124]) ).
tcf(c_53408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_911,c_5904]) ).
tcf(c_53409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_911,c_23036]) ).
tcf(c_53410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat) ) ),
inference(superposition,[status(thm)],[c_911,c_22126]) ).
tcf(c_53411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_911,c_21927]) ).
tcf(c_53412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),X4,tc_nat) ),
inference(superposition,[status(thm)],[c_911,c_21820]) ).
tcf(c_53413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),X4,tc_nat) ),
inference(superposition,[status(thm)],[c_911,c_21610]) ).
tcf(c_53414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_911,c_984]) ).
tcf(c_53415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),
inference(superposition,[status(thm)],[c_911,c_35902]) ).
tcf(c_53416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),
inference(superposition,[status(thm)],[c_911,c_35768]) ).
tcf(c_53417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_7545]) ).
tcf(c_53418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_7539]) ).
tcf(c_53419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),X3,tc_nat),X4,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),X3,tc_nat),X4,tc_nat),
inference(superposition,[status(thm)],[c_911,c_999]) ).
tcf(c_53420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),X3,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_911,c_25496]) ).
tcf(c_53421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),X3,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),X3,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_911,c_25114]) ).
tcf(c_53424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X4,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_911,c_972]) ).
tcf(c_53425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_911,c_1007]) ).
tcf(c_53426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_911,c_1006]) ).
tcf(c_53427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),X4,tc_nat) ),
inference(superposition,[status(thm)],[c_911,c_21592]) ).
tcf(c_53428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_911,c_1005]) ).
tcf(c_53429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X4,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),X4,tc_nat) ),
inference(superposition,[status(thm)],[c_911,c_987]) ).
tcf(c_53430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),X3,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_4714]) ).
tcf(c_53432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_975]) ).
tcf(c_53433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_974]) ).
tcf(c_53435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_911,c_1362]) ).
tcf(c_53436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) )
| ~ class_OrderedGroup_Ogroup__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_911,c_1281]) ).
tcf(c_53437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) )
| ~ class_OrderedGroup_Ogroup__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_911,c_1280]) ).
tcf(c_53439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),X4,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat),X4,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_911,c_973]) ).
tcf(c_53440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat),X4,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_911,c_991]) ).
tcf(c_53441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_21615]) ).
tcf(c_53442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X4,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_21613]) ).
tcf(c_53443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) = X4 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat) != c_HOL_Oplus__class_Oplus(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_911,c_1003]) ).
tcf(c_53444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X4,X1,tc_nat),X2,tc_nat),X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_911,c_971]) ).
tcf(c_53445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X4,X1,tc_nat),X2,tc_nat),X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_911,c_990]) ).
tcf(c_53446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X4,X0,tc_nat),X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(X5,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,tc_nat),X5,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_911,c_978]) ).
tcf(c_53447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),X4,tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),X1,tc_nat),X4,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_998]) ).
tcf(c_53448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat) = X4 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X4,tc_nat) ) ),
inference(superposition,[status(thm)],[c_911,c_1002]) ).
tcf(c_53449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),X1,tc_nat),X4,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),X4,tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_911,c_973]) ).
tcf(c_53450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),X4,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),X1,tc_nat),X4,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_911,c_972]) ).
tcf(c_53451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X0,tc_nat),X1,tc_nat),X2,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_911,c_26166]) ).
tcf(c_53452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X0,tc_nat),X1,tc_nat),X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_911,c_25470]) ).
tcf(c_53453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X0,tc_nat),X1,tc_nat),X2,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_911,c_25413]) ).
tcf(c_53454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X0,tc_nat),X1,tc_nat),X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_4713]) ).
tcf(c_53455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X0,tc_nat),X1,tc_nat),X2,tc_nat),
inference(superposition,[status(thm)],[c_911,c_997]) ).
tcf(c_53456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X4,X1,tc_nat),X2,tc_nat),X3,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_911,c_1185]) ).
tcf(c_53457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat) = X4 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X4,tc_nat) ) ),
inference(superposition,[status(thm)],[c_911,c_1359]) ).
tcf(c_53459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_21615]) ).
tcf(c_53460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),X3,tc_nat),
inference(superposition,[status(thm)],[c_911,c_21613]) ).
tcf(c_53461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),X3,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),X1,tc_nat),X3,tc_nat),
inference(superposition,[status(thm)],[c_911,c_998]) ).
tcf(c_53462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),X4,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat),X4,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_911]) ).
tcf(c_53463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X3,tc_nat) = X4 )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X4,tc_nat) ) ),
inference(superposition,[status(thm)],[c_911,c_1018]) ).
tcf(c_53464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) = c_HOL_Ouminus__class_Ouminus(X3,tc_nat) )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat) != c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_911,c_1017]) ).
tcf(c_53465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Oplus__class_Oplus(X4,X5,tc_nat) )
| ~ class_OrderedGroup_Oab__group__add(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat) != c_HOL_Oplus__class_Oplus(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X5,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_911,c_1018]) ).
tcf(c_53466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X5,tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat) != c_HOL_Oplus__class_Oplus(X4,X5,tc_nat) ) ),
inference(superposition,[status(thm)],[c_911,c_981]) ).
tcf(c_53467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X4,X0,tc_nat),X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,tc_nat),X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_911,c_971]) ).
tcf(c_53468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X5,X1,tc_nat),X2,tc_nat),X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X5,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_911,c_978]) ).
tcf(c_53469,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_911,c_28537]) ).
tcf(c_53470,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),
inference(superposition,[status(thm)],[c_911,c_35825]) ).
tcf(c_53471,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),
inference(superposition,[status(thm)],[c_911,c_35067]) ).
tcf(c_53473,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_21662]) ).
tcf(c_53474,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_21655]) ).
tcf(c_53475,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_21692]) ).
tcf(c_53476,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_31881]) ).
tcf(c_53477,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_31820]) ).
tcf(c_53478,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_52940]) ).
tcf(c_53479,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_51239]) ).
tcf(c_53480,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_52940]) ).
tcf(c_53485,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_53476,c_27577]) ).
tcf(c_53498,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_53397,c_1128]) ).
tcf(c_53499,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),
inference(light_normalisation,[status(thm)],[c_53391,c_996]) ).
tcf(c_53500,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),
inference(light_normalisation,[status(thm)],[c_53370,c_994]) ).
tcf(c_53507,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_53392,c_903]) ).
tcf(c_53508,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_53507,c_36397]) ).
tcf(c_53509,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0,tc_nat) = X0,
inference(light_normalisation,[status(thm)],[c_53508,c_994]) ).
tcf(c_53579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X4,X1,tc_nat),X2,tc_nat),X3,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53456,c_1131]) ).
tcf(c_53894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X2,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1011,c_1019]) ).
tcf(c_53895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(X0)),c_HOL_Oplus__class_Oplus(X3,X4,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X3,tc_Polynomial_Opoly(X0)),c_HOL_Ominus__class_Ominus(X2,X4,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(superposition,[status(thm)],[c_1010,c_1019]) ).
tcf(c_53904,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1131,c_1134]) ).
tcf(c_53905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_964,c_1134]) ).
tcf(c_53906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X0)),c_HOL_Otimes__class_Otimes(X3,X4,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(X0)),c_HOL_Otimes__class_Otimes(X2,X4,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_1134]) ).
tcf(c_53916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1131,c_1158]) ).
tcf(c_53917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X2,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_964,c_1158]) ).
tcf(c_53918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(X0)),c_HOL_Oplus__class_Oplus(X3,X4,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,tc_Polynomial_Opoly(X0)),c_HOL_Oplus__class_Oplus(X2,X4,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_1158]) ).
tcf(c_53928,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_35626,c_1191]) ).
tcf(c_53930,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_35626,c_1265]) ).
tcf(c_53931,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_35626,c_31074]) ).
tcf(c_53932,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_35626,c_1182]) ).
tcf(c_53933,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_35626,c_1052]) ).
tcf(c_53934,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_35626,c_1051]) ).
tcf(c_53935,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_35626,c_1173]) ).
tcf(c_53936,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_35626,c_1172]) ).
tcf(c_53937,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35626,c_26412]) ).
tcf(c_53938,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35626,c_42079]) ).
tcf(c_53939,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35626,c_24659]) ).
tcf(c_53941,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35626,c_24488]) ).
tcf(c_53943,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35626,c_24550]) ).
tcf(c_53946,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35626,c_26571]) ).
tcf(c_53947,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35626,c_26409]) ).
tcf(c_53949,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35626,c_27397]) ).
tcf(c_53950,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35626,c_29062]) ).
tcf(c_53952,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_53949,c_32620]) ).
tcf(c_53958,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_53947,c_10640]) ).
tcf(c_53961,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_53946,c_10640]) ).
tcf(c_53966,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_53941,c_32620]) ).
tcf(c_53972,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_53930,c_32620]) ).
tcf(c_53974,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_53936,c_10640]) ).
tcf(c_53976,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_53935,c_10640]) ).
tcf(c_53978,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53928,c_964]) ).
tcf(c_53982,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_53934,c_10640]) ).
tcf(c_53983,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53982,c_1046]) ).
tcf(c_53987,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_53933,c_10640]) ).
tcf(c_53988,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53987,c_1046]) ).
tcf(c_54033,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_902,c_36381]) ).
tcf(c_54034,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_903,c_36381]) ).
tcf(c_54035,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_915,c_36381]) ).
tcf(c_54037,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_36381]) ).
tcf(c_54038,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1129,c_36381]) ).
tcf(c_54039,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1128,c_36381]) ).
tcf(c_54040,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_36381]) ).
tcf(c_54041,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_36381]) ).
tcf(c_54042,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_903,c_36381]) ).
tcf(c_54043,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_915,c_36381]) ).
tcf(c_54045,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1128,c_36381]) ).
tcf(c_54046,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_36381]) ).
tcf(c_54047,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_36381]) ).
tcf(c_54048,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_36381]) ).
tcf(c_54049,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_36381]) ).
tcf(c_54050,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_36381]) ).
tcf(c_54052,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_996,c_36381]) ).
tcf(c_54054,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_36381]) ).
tcf(c_54055,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_36381]) ).
tcf(c_54056,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_36381,c_1191]) ).
tcf(c_54057,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_36381,c_1052]) ).
tcf(c_54058,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),X0,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_36381,c_1173]) ).
tcf(c_54060,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_36381,c_12546]) ).
tcf(c_54061,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_36381,c_12548]) ).
tcf(c_54063,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_36381,c_26415]) ).
tcf(c_54068,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),X0,tc_nat),X2,tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_54048,c_27577]) ).
tcf(c_54069,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_54047,c_27577]) ).
tcf(c_54082,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_902,c_36655]) ).
tcf(c_54086,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_36655]) ).
tcf(c_54087,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1129,c_36655]) ).
tcf(c_54088,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1128,c_36655]) ).
tcf(c_54089,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_36655]) ).
tcf(c_54090,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_36655]) ).
tcf(c_54094,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_36655]) ).
tcf(c_54095,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1129,c_36655]) ).
tcf(c_54096,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_36655]) ).
tcf(c_54097,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_36655]) ).
tcf(c_54098,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_36655]) ).
tcf(c_54099,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_36655]) ).
tcf(c_54100,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_36655]) ).
tcf(c_54104,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_36655]) ).
tcf(c_54105,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_36655]) ).
tcf(c_54106,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_36655,c_1191]) ).
tcf(c_54109,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_36655,c_1172]) ).
tcf(c_54110,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X2,tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_36655,c_12546]) ).
tcf(c_54111,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_36655,c_12548]) ).
tcf(c_54116,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X2,X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_54094,c_27577]) ).
tcf(c_54176,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23285,c_37737]) ).
tcf(c_54177,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_37737]) ).
tcf(c_54180,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21375,c_37737]) ).
tcf(c_54181,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_37737]) ).
tcf(c_54184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_37737]) ).
tcf(c_54185,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6492,c_37737]) ).
tcf(c_54186,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_37737]) ).
tcf(c_54187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12533,c_37737]) ).
tcf(c_54188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12528,c_37737]) ).
tcf(c_54189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6619,c_37737]) ).
tcf(c_54191,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12519,c_37737]) ).
tcf(c_54192,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6654,c_37737]) ).
tcf(c_54193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6683,c_37737]) ).
tcf(c_54194,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_37737]) ).
tcf(c_54195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_37737]) ).
tcf(c_54197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21433,c_37737]) ).
tcf(c_54200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_37737]) ).
tcf(c_54201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_37737,c_1191]) ).
tcf(c_54213,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_54194,c_33421]) ).
tcf(c_54214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_54200,c_34460]) ).
tcf(c_54215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54201,c_964]) ).
tcf(c_54276,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6607,c_54192]) ).
tcf(c_54277,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21364,c_54192]) ).
tcf(c_54278,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21375,c_54192]) ).
tcf(c_54282,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23285,c_54192]) ).
tcf(c_54283,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_54192]) ).
tcf(c_54286,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6607,c_54192]) ).
tcf(c_54287,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21364,c_54192]) ).
tcf(c_54288,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21375,c_54192]) ).
tcf(c_54289,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_54192]) ).
tcf(c_54292,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23285,c_54192]) ).
tcf(c_54293,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_54192]) ).
tcf(c_54294,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_54192,c_1191]) ).
tcf(c_54309,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54294,c_964]) ).
tcf(c_54320,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10643,c_37755]) ).
tcf(c_54321,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6607,c_37755]) ).
tcf(c_54322,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21364,c_37755]) ).
tcf(c_54323,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21375,c_37755]) ).
tcf(c_54324,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_37755]) ).
tcf(c_54327,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23285,c_37755]) ).
tcf(c_54328,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_37755]) ).
tcf(c_54331,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21375,c_37755]) ).
tcf(c_54332,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_37755]) ).
tcf(c_54333,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22325,c_37755]) ).
tcf(c_54336,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6607,c_37755]) ).
tcf(c_54337,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21364,c_37755]) ).
tcf(c_54342,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23285,c_37755]) ).
tcf(c_54343,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_37755]) ).
tcf(c_54344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_37755,c_1191]) ).
tcf(c_54345,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_37755,c_1051]) ).
tcf(c_54354,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_54332,c_21402]) ).
tcf(c_54357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54344,c_964]) ).
tcf(c_54366,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6432,c_21540]) ).
tcf(c_54367,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10640,c_21540]) ).
tcf(c_54368,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6552,c_21540]) ).
tcf(c_54369,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6559,c_21540]) ).
tcf(c_54370,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10735,c_21540]) ).
tcf(c_54371,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21346,c_21540]) ).
tcf(c_54372,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_32620,c_21540]) ).
tcf(c_54373,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_21540]) ).
tcf(c_54374,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6492,c_21540]) ).
tcf(c_54375,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_21540]) ).
tcf(c_54376,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_21540]) ).
tcf(c_54377,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_21540]) ).
tcf(c_54378,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6619,c_21540]) ).
tcf(c_54379,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6631,c_21540]) ).
tcf(c_54380,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_21540]) ).
tcf(c_54381,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6654,c_21540]) ).
tcf(c_54382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6683,c_21540]) ).
tcf(c_54383,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_21540]) ).
tcf(c_54384,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_21540]) ).
tcf(c_54385,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_21540]) ).
tcf(c_54386,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21433,c_21540]) ).
tcf(c_54387,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22175,c_21540]) ).
tcf(c_54388,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21435,c_21540]) ).
tcf(c_54389,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_21540]) ).
tcf(c_54390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X3 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21540,c_1018]) ).
tcf(c_54391,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21540,c_1017]) ).
tcf(c_54393,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21540,c_1362]) ).
tcf(c_54394,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21540,c_1281]) ).
tcf(c_54395,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21540,c_1280]) ).
tcf(c_54396,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21540,c_1185]) ).
tcf(c_54397,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = X2 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21540,c_1359]) ).
tcf(c_54398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,X2,tc_Complex_Ocomplex) )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21540,c_1018]) ).
tcf(c_54399,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21540,c_30118]) ).
tcf(c_54400,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21540,c_29718]) ).
tcf(c_54401,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21540,c_29700]) ).
tcf(c_54402,plain,
! [X0: $i,X1: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21540,c_25686]) ).
tcf(c_54403,plain,
! [X0: $i,X1: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21540,c_22768]) ).
tcf(c_54404,plain,
! [X0: $i,X1: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21540,c_22588]) ).
tcf(c_54405,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21540,c_30118]) ).
tcf(c_54406,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21540,c_29718]) ).
tcf(c_54407,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21540,c_29700]) ).
tcf(c_54408,plain,
! [X0: $i,X1: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21540,c_25699]) ).
tcf(c_54409,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_54381,c_6432,c_53088]) ).
tcf(c_54410,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_54406,c_21546]) ).
tcf(c_54411,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_54400,c_21546]) ).
tcf(c_54412,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_54374,c_6559]) ).
tcf(c_54415,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_54407,c_21546]) ).
tcf(c_54416,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_54405,c_21546]) ).
tcf(c_54417,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_54401,c_21546]) ).
tcf(c_54418,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_54399,c_21546]) ).
tcf(c_54419,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_54371,c_22175]) ).
tcf(c_54422,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_54388,c_21346]) ).
tcf(c_54424,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_54395,c_6543]) ).
tcf(c_54425,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54424,c_1269]) ).
tcf(c_54428,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54394,c_1269]) ).
tcf(c_54431,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54393,c_1350,c_1046]) ).
tcf(c_54434,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_54386,c_6552]) ).
tcf(c_54435,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54396,c_964]) ).
tcf(c_54439,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54391,c_1011]) ).
tcf(c_54442,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54397,c_1350,c_1046]) ).
tcf(c_54445,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_54373,c_10735]) ).
tcf(c_54446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,X2,tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54398,c_1011]) ).
tcf(c_54449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54390,c_1011]) ).
tcf(c_54627,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_927]) ).
tcf(c_54628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_919,c_927]) ).
tcf(c_54629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X2 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_918,c_927]) ).
tcf(c_54630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_997,c_927]) ).
tcf(c_54631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X3 = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X2 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_999,c_927]) ).
tcf(c_54632,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_994,c_927]) ).
tcf(c_54633,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_927]) ).
tcf(c_54635,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_903,c_927]) ).
tcf(c_54636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X2 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_915,c_927]) ).
tcf(c_54638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X3 = X4 )
| ( c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_920,c_927]) ).
tcf(c_54639,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_1129,c_927]) ).
tcf(c_54640,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oone__class_Oone(tc_nat) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_1128,c_927]) ).
tcf(c_54641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_927]) ).
tcf(c_54642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X3 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_927]) ).
tcf(c_54647,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_54632,c_36594]) ).
tcf(c_54651,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_54639,c_36598]) ).
tcf(c_54652,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54651,c_21190]) ).
tcf(c_54655,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != X0 ) ),
inference(light_normalisation,[status(thm)],[c_54635,c_996]) ).
tcf(c_54674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_54628,c_36648]) ).
tcf(c_54687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),tc_nat) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54641,c_1090]) ).
tcf(c_54747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Otimes__class_Otimes(c_Polynomial_Omonom(X0,X1,tc_nat),c_Polynomial_Omonom(X2,X3,tc_nat),tc_Polynomial_Opoly(tc_nat)) = c_Polynomial_Omonom(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1258,c_1041]) ).
tcf(c_54748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Otimes__class_Otimes(c_Polynomial_Omonom(X0,X1,tc_Complex_Ocomplex),c_Polynomial_Omonom(X2,X3,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Omonom(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1257,c_1041]) ).
tcf(c_54749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Otimes__class_Otimes(c_Polynomial_Omonom(X1,X2,tc_Polynomial_Opoly(X0)),c_Polynomial_Omonom(X3,X4,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))) = c_Polynomial_Omonom(c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(X0)),c_HOL_Oplus__class_Oplus(X2,X4,tc_nat),tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(superposition,[status(thm)],[c_1256,c_1041]) ).
tcf(c_54767,plain,
! [X0: $i,X1: $i,X2: $i] : c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(c_Polynomial_Omonom(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X2,X0,tc_Complex_Ocomplex),c_Polynomial_Opoly(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1263,c_960]) ).
tcf(c_54768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(c_Polynomial_Omonom(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)),X2,tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))),X3,tc_Polynomial_Opoly(X0)) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X3,X1,tc_Polynomial_Opoly(X0)),c_Polynomial_Opoly(X2,X3,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
inference(superposition,[status(thm)],[c_1262,c_960]) ).
tcf(c_54785,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1350,c_1352]) ).
tcf(c_54786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X0)),c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(X0)),c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X0)) ),
inference(superposition,[status(thm)],[c_1261,c_1352]) ).
tcf(c_54787,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_54785,c_48672]) ).
tcf(c_54788,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_54787,c_48672]) ).
tcf(c_54789,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_54788,c_1046]) ).
tcf(c_54829,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6607,c_37756]) ).
tcf(c_54830,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21364,c_37756]) ).
tcf(c_54831,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21375,c_37756]) ).
tcf(c_54832,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_37756]) ).
tcf(c_54835,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23285,c_37756]) ).
tcf(c_54836,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_37756]) ).
tcf(c_54839,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21375,c_37756]) ).
tcf(c_54840,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_37756]) ).
tcf(c_54841,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22325,c_37756]) ).
tcf(c_54851,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_37756]) ).
tcf(c_54852,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_37756,c_1191]) ).
tcf(c_54853,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_37756,c_1051]) ).
tcf(c_54859,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_54840,c_21402]) ).
tcf(c_54860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54852,c_964]) ).
tcf(c_54879,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_37765,c_46027]) ).
tcf(c_54880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_54879]) ).
tcf(c_54882,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_54879]) ).
tcf(c_54883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12533,c_54879]) ).
tcf(c_54884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12528,c_54879]) ).
tcf(c_54885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6619,c_54879]) ).
tcf(c_54886,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6631,c_54879]) ).
tcf(c_54887,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12519,c_54879]) ).
tcf(c_54888,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6654,c_54879]) ).
tcf(c_54889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6683,c_54879]) ).
tcf(c_54890,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_54879]) ).
tcf(c_54891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_54879]) ).
tcf(c_54892,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_54879]) ).
tcf(c_54893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21433,c_54879]) ).
tcf(c_54894,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22175,c_54879]) ).
tcf(c_54895,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21435,c_54879]) ).
tcf(c_54896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_54879]) ).
tcf(c_54897,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_54879]) ).
tcf(c_54898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_54879]) ).
tcf(c_54899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_54879]) ).
tcf(c_54900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6619,c_54879]) ).
tcf(c_54902,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_54879]) ).
tcf(c_54903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6683,c_54879]) ).
tcf(c_54904,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_54879]) ).
tcf(c_54905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_54879]) ).
tcf(c_54907,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10643,c_54879]) ).
tcf(c_54908,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6607,c_54879]) ).
tcf(c_54909,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21364,c_54879]) ).
tcf(c_54911,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_54879]) ).
tcf(c_54914,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23285,c_54879]) ).
tcf(c_54915,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_54879]) ).
tcf(c_54916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_54879,c_1191]) ).
tcf(c_54926,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_54908,c_22175]) ).
tcf(c_54928,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_54904,c_10416]) ).
tcf(c_54931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_54905,c_46027]) ).
tcf(c_54934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54916,c_964]) ).
tcf(c_55046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_37766]) ).
tcf(c_55048,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_37766]) ).
tcf(c_55049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12533,c_37766]) ).
tcf(c_55050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12528,c_37766]) ).
tcf(c_55051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6619,c_37766]) ).
tcf(c_55053,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12519,c_37766]) ).
tcf(c_55054,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6654,c_37766]) ).
tcf(c_55055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6683,c_37766]) ).
tcf(c_55056,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_37766]) ).
tcf(c_55057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_37766]) ).
tcf(c_55058,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_37766]) ).
tcf(c_55059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21433,c_37766]) ).
tcf(c_55060,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22175,c_37766]) ).
tcf(c_55061,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21435,c_37766]) ).
tcf(c_55062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_37766]) ).
tcf(c_55063,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_37766]) ).
tcf(c_55064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_37766]) ).
tcf(c_55065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_37766]) ).
tcf(c_55066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6619,c_37766]) ).
tcf(c_55068,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_37766]) ).
tcf(c_55069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6683,c_37766]) ).
tcf(c_55070,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_37766]) ).
tcf(c_55071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_37766]) ).
tcf(c_55082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_37766,c_1191]) ).
tcf(c_55087,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_55061,c_46060]) ).
tcf(c_55089,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_55070,c_10416]) ).
tcf(c_55090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_55071,c_46027]) ).
tcf(c_55205,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21346,c_37807]) ).
tcf(c_55209,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21309,c_55205]) ).
tcf(c_55211,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21309,c_55205]) ).
tcf(c_55212,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21577,c_55205]) ).
tcf(c_55213,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_55205,c_1191]) ).
tcf(c_55215,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55213,c_964]) ).
tcf(c_55222,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21309,c_37816]) ).
tcf(c_55223,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21577,c_37816]) ).
tcf(c_55224,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21309,c_37816]) ).
tcf(c_55234,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23285,c_37816]) ).
tcf(c_55235,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_37816]) ).
tcf(c_55236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_37816,c_1191]) ).
tcf(c_55240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55236,c_964]) ).
tcf(c_55248,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21309,c_37817]) ).
tcf(c_55250,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21309,c_37817]) ).
tcf(c_55261,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_37817]) ).
tcf(c_55262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_37817,c_1191]) ).
tcf(c_55264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55262,c_964]) ).
tcf(c_55298,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X2,tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_905]) ).
tcf(c_55300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( X0 = X2 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_997,c_905]) ).
tcf(c_55301,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_902,c_905]) ).
tcf(c_55302,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_903,c_905]) ).
tcf(c_55303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ( X0 = X3 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_915,c_905]) ).
tcf(c_55305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2 = X4 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X3 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X4,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_920,c_905]) ).
tcf(c_55306,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Oone__class_Oone(tc_nat) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_1129,c_905]) ).
tcf(c_55307,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Oone__class_Oone(tc_nat) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_1128,c_905]) ).
tcf(c_55308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X2 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_905]) ).
tcf(c_55309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_905]) ).
tcf(c_55310,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_902,c_905]) ).
tcf(c_55311,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X2 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_903,c_905]) ).
tcf(c_55312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ( X0 = X3 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_915,c_905]) ).
tcf(c_55314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X4 )
| ( c_HOL_Otimes__class_Otimes(X2,X3,tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X4,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X4,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_920,c_905]) ).
tcf(c_55315,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Oone__class_Oone(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_1129,c_905]) ).
tcf(c_55316,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( c_HOL_Oone__class_Oone(tc_nat) = X2 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_1128,c_905]) ).
tcf(c_55317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_905]) ).
tcf(c_55318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X3 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_905]) ).
tcf(c_55320,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Oone__class_Oone(tc_nat) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_55316,c_1128]) ).
tcf(c_55330,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Oone__class_Oone(tc_nat) = X1 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_55306,c_1129]) ).
tcf(c_55337,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_55311,c_903]) ).
tcf(c_55338,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_55337,c_36603]) ).
tcf(c_55351,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_55301,c_902]) ).
tcf(c_55352,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_55351,c_36594]) ).
tcf(c_55365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2 = X4 )
| ( c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) = X3 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X4,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_55305,c_27577]) ).
tcf(c_55401,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_Polynomial_Odegree(X0,tc_Complex_Ocomplex),c_Polynomial_Odegree(X1,tc_Complex_Ocomplex),tc_nat) = c_Polynomial_Odegree(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_1046,c_931]) ).
tcf(c_55402,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_Polynomial_Odegree(X1,tc_Polynomial_Opoly(X0)),c_Polynomial_Odegree(X2,tc_Polynomial_Opoly(X0)),tc_nat) = c_Polynomial_Odegree(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))),tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(superposition,[status(thm)],[c_1045,c_931]) ).
tcf(c_55464,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_1364]) ).
tcf(c_55465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_919,c_1364]) ).
tcf(c_55466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X2 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_918,c_1364]) ).
tcf(c_55467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_997,c_1364]) ).
tcf(c_55468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X3 = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X2 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_999,c_1364]) ).
tcf(c_55469,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_994,c_1364]) ).
tcf(c_55470,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_1364]) ).
tcf(c_55471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22336,c_1364]) ).
tcf(c_55473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_26127,c_1364]) ).
tcf(c_55474,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21412,c_1364]) ).
tcf(c_55475,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_26924,c_1364]) ).
tcf(c_55476,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = X0 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) != c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_nat)) ) ),
inference(superposition,[status(thm)],[c_37535,c_1364]) ).
tcf(c_55478,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_903,c_1364]) ).
tcf(c_55479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X2 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_915,c_1364]) ).
tcf(c_55481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X3 = X4 )
| ( c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_920,c_1364]) ).
tcf(c_55482,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_1129,c_1364]) ).
tcf(c_55483,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oone__class_Oone(tc_nat) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_1128,c_1364]) ).
tcf(c_55485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_1364]) ).
tcf(c_55486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X3 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_1364]) ).
tcf(c_55488,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = X3 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6607,c_1364]) ).
tcf(c_55489,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21364,c_1364]) ).
tcf(c_55490,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21375,c_1364]) ).
tcf(c_55491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21402,c_1364]) ).
tcf(c_55492,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21443,c_1364]) ).
tcf(c_55493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22325,c_1364]) ).
tcf(c_55494,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X2 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23285,c_1364]) ).
tcf(c_55495,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X1 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_24109,c_1364]) ).
tcf(c_55497,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X1 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_37008,c_1364]) ).
tcf(c_55498,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Oplus__class_Oplus(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_37317,c_1364]) ).
tcf(c_55499,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = X1 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) ) ),
inference(superposition,[status(thm)],[c_26691,c_1364]) ).
tcf(c_55501,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = X1 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) != c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(tc_nat)) ) ),
inference(superposition,[status(thm)],[c_37007,c_1364]) ).
tcf(c_55502,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)) )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),X1,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) != c_HOL_Oplus__class_Oplus(X0,X2,tc_Polynomial_Opoly(tc_nat)) ) ),
inference(superposition,[status(thm)],[c_37316,c_1364]) ).
tcf(c_55503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex) = X2 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_1364]) ).
tcf(c_55505,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55489,c_1350,c_1046]) ).
tcf(c_55514,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55474,c_1350,c_1046]) ).
tcf(c_55518,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_55469,c_36594]) ).
tcf(c_55524,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != X0 ) ),
inference(light_normalisation,[status(thm)],[c_55492,c_21386]) ).
tcf(c_55525,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55524,c_1350,c_1046]) ).
tcf(c_55529,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,X2,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55490,c_1350,c_1046]) ).
tcf(c_55533,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_55482,c_36598]) ).
tcf(c_55534,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55533,c_21190]) ).
tcf(c_55539,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != X0 ) ),
inference(light_normalisation,[status(thm)],[c_55478,c_996]) ).
tcf(c_55545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55493,c_1350,c_1046]) ).
tcf(c_55554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55471,c_1350,c_1046]) ).
tcf(c_55573,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X2 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_55494,c_25380]) ).
tcf(c_55574,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55573,c_1350,c_1046]) ).
tcf(c_55578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55488,c_1350,c_1046]) ).
tcf(c_55582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55473,c_1350,c_1046]) ).
tcf(c_55591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_55465,c_36648]) ).
tcf(c_55597,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55491,c_1350,c_1046]) ).
tcf(c_55601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55503,c_1350,c_1046]) ).
tcf(c_55636,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = X1 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) != X0 ) ),
inference(light_normalisation,[status(thm)],[c_55499,c_37458]) ).
tcf(c_55647,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X1 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != X0 ) ),
inference(light_normalisation,[status(thm)],[c_55495,c_27119]) ).
tcf(c_55663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),tc_nat) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55485,c_1090]) ).
tcf(c_55895,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) = X0 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X2,tc_nat),tc_nat) != c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_1355]) ).
tcf(c_55897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( X0 = X2 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_997,c_1355]) ).
tcf(c_55898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( X0 = X2 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22336,c_1355]) ).
tcf(c_55900,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_902,c_1355]) ).
tcf(c_55901,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_903,c_1355]) ).
tcf(c_55902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ( X0 = X3 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_915,c_1355]) ).
tcf(c_55904,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2 = X4 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X3 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X4,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_920,c_1355]) ).
tcf(c_55905,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Oone__class_Oone(tc_nat) = X1 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_1129,c_1355]) ).
tcf(c_55906,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Oone__class_Oone(tc_nat) = X1 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_1128,c_1355]) ).
tcf(c_55908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X2 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_1355]) ).
tcf(c_55909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X1 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_1355]) ).
tcf(c_55910,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10643,c_1355]) ).
tcf(c_55911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex) = X1 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6607,c_1355]) ).
tcf(c_55912,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = X1 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21364,c_1355]) ).
tcf(c_55913,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = X1 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21375,c_1355]) ).
tcf(c_55914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = X2 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21402,c_1355]) ).
tcf(c_55915,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21443,c_1355]) ).
tcf(c_55916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ( X0 = X3 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22325,c_1355]) ).
tcf(c_55917,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23285,c_1355]) ).
tcf(c_55918,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X1 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_24109,c_1355]) ).
tcf(c_55919,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X1 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_24387,c_1355]) ).
tcf(c_55920,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X1 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_37008,c_1355]) ).
tcf(c_55921,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X1 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_37317,c_1355]) ).
tcf(c_55922,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = X1 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_nat)),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),c_HOL_Otimes__class_Otimes(X2,X1,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) ) ),
inference(superposition,[status(thm)],[c_26691,c_1355]) ).
tcf(c_55923,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = X1 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),X0,tc_Polynomial_Opoly(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) ) ),
inference(superposition,[status(thm)],[c_26936,c_1355]) ).
tcf(c_55924,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)) = X1 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_nat)),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) ) ),
inference(superposition,[status(thm)],[c_37007,c_1355]) ).
tcf(c_55925,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)) = X1 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),X0,tc_Polynomial_Opoly(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) ) ),
inference(superposition,[status(thm)],[c_37316,c_1355]) ).
tcf(c_55926,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex) = X1 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_1355]) ).
tcf(c_55927,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_902,c_1355]) ).
tcf(c_55928,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X2 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_903,c_1355]) ).
tcf(c_55929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ( X0 = X3 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_915,c_1355]) ).
tcf(c_55931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X4 )
| ( c_HOL_Otimes__class_Otimes(X2,X3,tc_nat) = X0 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X4,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X4,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_920,c_1355]) ).
tcf(c_55932,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Oone__class_Oone(tc_nat) = X0 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_1129,c_1355]) ).
tcf(c_55933,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( c_HOL_Oone__class_Oone(tc_nat) = X2 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_1128,c_1355]) ).
tcf(c_55935,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X0 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_1355]) ).
tcf(c_55936,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X3 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_1355]) ).
tcf(c_55937,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10643,c_1355]) ).
tcf(c_55938,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = X3 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6607,c_1355]) ).
tcf(c_55939,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = X2 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21364,c_1355]) ).
tcf(c_55940,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = X0 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21375,c_1355]) ).
tcf(c_55941,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = X0 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21402,c_1355]) ).
tcf(c_55942,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21443,c_1355]) ).
tcf(c_55943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ( X0 = X3 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22325,c_1355]) ).
tcf(c_55944,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X2 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23285,c_1355]) ).
tcf(c_55945,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X2 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_24109,c_1355]) ).
tcf(c_55946,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_24387,c_1355]) ).
tcf(c_55947,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X2 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_37008,c_1355]) ).
tcf(c_55948,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(superposition,[status(thm)],[c_37317,c_1355]) ).
tcf(c_55949,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = X2 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_nat)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) ) ),
inference(superposition,[status(thm)],[c_26691,c_1355]) ).
tcf(c_55950,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = X0 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_nat)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),X2,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_nat)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) ) ),
inference(superposition,[status(thm)],[c_26936,c_1355]) ).
tcf(c_55951,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)) = X2 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_nat)),X1,tc_Polynomial_Opoly(tc_nat)) ) ),
inference(superposition,[status(thm)],[c_37007,c_1355]) ).
tcf(c_55952,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)) = X0 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_nat)),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),X2,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_nat)),X1,tc_Polynomial_Opoly(tc_nat)) ) ),
inference(superposition,[status(thm)],[c_37316,c_1355]) ).
tcf(c_55953,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex) = X3 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_1355]) ).
tcf(c_55955,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55940,c_1350,c_1046]) ).
tcf(c_55959,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = X1 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_55939,c_21364]) ).
tcf(c_55960,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55959,c_1350,c_1046]) ).
tcf(c_55964,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Oone__class_Oone(tc_nat) = X1 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_55933,c_1128]) ).
tcf(c_55975,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = X1 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_55913,c_21375]) ).
tcf(c_55976,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55975,c_1350,c_1046]) ).
tcf(c_55980,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55912,c_1350,c_1046]) ).
tcf(c_55989,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Oone__class_Oone(tc_nat) = X1 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_55905,c_1129]) ).
tcf(c_55995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ( X0 = X3 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55943,c_1350,c_1046]) ).
tcf(c_55999,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_55942,c_21443]) ).
tcf(c_56000,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55999,c_1350,c_1046]) ).
tcf(c_56004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55937,c_1350,c_1046]) ).
tcf(c_56013,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_55928,c_903]) ).
tcf(c_56014,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_56013,c_36603]) ).
tcf(c_56025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ( X0 = X3 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55916,c_1350,c_1046]) ).
tcf(c_56029,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55915,c_1350,c_1046]) ).
tcf(c_56033,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_55910,c_10643]) ).
tcf(c_56034,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56033,c_1350,c_1046]) ).
tcf(c_56048,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_55900,c_902]) ).
tcf(c_56049,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_56048,c_36594]) ).
tcf(c_56055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( X0 = X2 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55898,c_1350,c_1046]) ).
tcf(c_56064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55941,c_1350,c_1046]) ).
tcf(c_56068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = X3 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_55938,c_6607]) ).
tcf(c_56069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56068,c_1350,c_1046]) ).
tcf(c_56073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = X2 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_55914,c_21402]) ).
tcf(c_56074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56073,c_1350,c_1046]) ).
tcf(c_56078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55911,c_1350,c_1046]) ).
tcf(c_56082,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_55944,c_23285]) ).
tcf(c_56083,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56082,c_1350,c_1046]) ).
tcf(c_56087,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55917,c_1350,c_1046]) ).
tcf(c_56096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55953,c_1350,c_1046]) ).
tcf(c_56106,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)) = X1 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_nat)),X2,tc_Polynomial_Opoly(tc_nat)) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) ) ),
inference(light_normalisation,[status(thm)],[c_55951,c_37007]) ).
tcf(c_56117,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X1 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(light_normalisation,[status(thm)],[c_55947,c_37008]) ).
tcf(c_56123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55926,c_1350,c_1046]) ).
tcf(c_56128,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)) = X1 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) ) ),
inference(light_normalisation,[status(thm)],[c_55925,c_37316]) ).
tcf(c_56139,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X1 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(light_normalisation,[status(thm)],[c_55921,c_37317]) ).
tcf(c_56155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2 = X4 )
| ( c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) = X3 )
| ~ class_Int_Onumber__ring(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X4,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_55904,c_27577]) ).
tcf(c_56166,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = X1 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_nat)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),c_HOL_Otimes__class_Otimes(X2,X1,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) ) ),
inference(light_normalisation,[status(thm)],[c_55949,c_26691]) ).
tcf(c_56177,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X1 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X2,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(light_normalisation,[status(thm)],[c_55945,c_24109]) ).
tcf(c_56183,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)) = X0 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_nat))
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat)) ) ),
inference(light_normalisation,[status(thm)],[c_55923,c_26936]) ).
tcf(c_56194,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 )
| ~ class_Int_Onumber__ring(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(light_normalisation,[status(thm)],[c_55919,c_24387]) ).
tcf(c_56392,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23285,c_38020]) ).
tcf(c_56393,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_38020]) ).
tcf(c_56396,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21375,c_38020]) ).
tcf(c_56397,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_38020]) ).
tcf(c_56398,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22325,c_38020]) ).
tcf(c_56401,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6607,c_38020]) ).
tcf(c_56407,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23285,c_38020]) ).
tcf(c_56408,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_38020]) ).
tcf(c_56409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38020,c_1191]) ).
tcf(c_56410,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38020,c_1052]) ).
tcf(c_56421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56409,c_964]) ).
tcf(c_56434,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23285,c_38021]) ).
tcf(c_56435,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_38021]) ).
tcf(c_56439,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_38021]) ).
tcf(c_56440,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22325,c_38021]) ).
tcf(c_56450,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_38021]) ).
tcf(c_56451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38021,c_1191]) ).
tcf(c_56459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56451,c_964]) ).
tcf(c_56506,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_901,c_40161]) ).
tcf(c_56507,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X2 ) ),
inference(superposition,[status(thm)],[c_21849,c_40161]) ).
tcf(c_56522,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1080,c_40161]) ).
tcf(c_56524,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_6260,c_40161]) ).
tcf(c_56529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_40161]) ).
tcf(c_56532,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_40161]) ).
tcf(c_56533,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_40161]) ).
tcf(c_56559,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6613,c_40594]) ).
tcf(c_56566,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X2,c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21538,c_40594]) ).
tcf(c_56567,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21540,c_40594]) ).
tcf(c_56568,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) != X0 ) ),
inference(superposition,[status(thm)],[c_22947,c_40594]) ).
tcf(c_56569,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_51676,c_40594]) ).
tcf(c_56591,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X2 ) ),
inference(superposition,[status(thm)],[c_21849,c_40814]) ).
tcf(c_56606,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1080,c_40814]) ).
tcf(c_56613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_40814]) ).
tcf(c_56616,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_40814]) ).
tcf(c_56617,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_40814]) ).
tcf(c_56633,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6543,c_41878]) ).
tcf(c_56636,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_25368,c_41878]) ).
tcf(c_56637,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_41878,c_1191]) ).
tcf(c_56640,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_41878,c_24488]) ).
tcf(c_56642,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_41878,c_24550]) ).
tcf(c_56651,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_56633,c_6552]) ).
tcf(c_56654,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56637,c_964]) ).
tcf(c_56663,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6543,c_41879]) ).
tcf(c_56666,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_25368,c_41879]) ).
tcf(c_56667,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_41879,c_1191]) ).
tcf(c_56672,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_41879,c_24550]) ).
tcf(c_56677,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_56666,c_25368]) ).
tcf(c_56680,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_56663,c_6543]) ).
tcf(c_56683,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56667,c_964]) ).
tcf(c_56693,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10640,c_41892]) ).
tcf(c_56694,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6552,c_41892]) ).
tcf(c_56696,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10735,c_41892]) ).
tcf(c_56698,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_32620,c_41892]) ).
tcf(c_56699,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_41892,c_1191]) ).
tcf(c_56702,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_41892,c_24488]) ).
tcf(c_56704,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_41892,c_24550]) ).
tcf(c_56720,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56699,c_964]) ).
tcf(c_56738,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_993,c_42820]) ).
tcf(c_56739,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_47618,c_42820]) ).
tcf(c_56740,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_23185,c_42820]) ).
tcf(c_56742,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_21890,c_42820]) ).
tcf(c_56743,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_977,c_42820]) ).
tcf(c_56744,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_47399,c_42820]) ).
tcf(c_56745,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_42843,c_42820]) ).
tcf(c_56746,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_23164,c_42820]) ).
tcf(c_56747,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_21849,c_42820]) ).
tcf(c_56755,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_978,c_42820]) ).
tcf(c_56757,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1080,c_42820]) ).
tcf(c_56769,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_42820]) ).
tcf(c_56770,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_919,c_42820]) ).
tcf(c_56771,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_918,c_42820]) ).
tcf(c_56773,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_999,c_42820]) ).
tcf(c_56774,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_998,c_42820]) ).
tcf(c_56776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X0,tc_nat),X1,tc_nat),X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_911,c_42820]) ).
tcf(c_56779,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_42820]) ).
tcf(c_56780,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_42820]) ).
tcf(c_56781,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_42820]) ).
tcf(c_56798,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56738,c_975]) ).
tcf(c_56819,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56757,c_21692]) ).
tcf(c_56918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_21543,c_34460,c_51737]) ).
tcf(c_56923,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_56918]) ).
tcf(c_56929,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21386,c_56918]) ).
tcf(c_56930,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25380,c_56918]) ).
tcf(c_56931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_51676,c_56918]) ).
tcf(c_56952,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26127,c_56918]) ).
tcf(c_56958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_56918]) ).
tcf(c_56959,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21443,c_56918]) ).
tcf(c_56961,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23285,c_56918]) ).
tcf(c_56963,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_37737]) ).
tcf(c_56964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_56918,c_27309]) ).
tcf(c_56965,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_21480]) ).
tcf(c_56966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_25280]) ).
tcf(c_56967,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_22511]) ).
tcf(c_56969,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_51676]) ).
tcf(c_56970,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_21433]) ).
tcf(c_56971,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_37729]) ).
tcf(c_56972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_56918,c_25978]) ).
tcf(c_56975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,c_Power_Opower__class_Opower(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_21538]) ).
tcf(c_56976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_46027]) ).
tcf(c_56977,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_37981]) ).
tcf(c_56978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_56918,c_26412]) ).
tcf(c_56981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_56918,c_6746]) ).
tcf(c_56982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X4,X5,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_56918,c_6731]) ).
tcf(c_56983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_22663]) ).
tcf(c_56984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_6701]) ).
tcf(c_56985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_6613]) ).
tcf(c_56986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_21441]) ).
tcf(c_56987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_6552]) ).
tcf(c_56988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_6543]) ).
tcf(c_56989,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_6492]) ).
tcf(c_56990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_56918,c_12533]) ).
tcf(c_56991,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_56918,c_12528]) ).
tcf(c_56994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_37981]) ).
tcf(c_56995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_6701]) ).
tcf(c_56996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_6613]) ).
tcf(c_56997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_21540]) ).
tcf(c_56998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_56918,c_38230]) ).
tcf(c_56999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_22666]) ).
tcf(c_57000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_21442]) ).
tcf(c_57001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_51676]) ).
tcf(c_57003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_28241]) ).
tcf(c_57004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_56918,c_38172]) ).
tcf(c_57005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_56918,c_38234]) ).
tcf(c_57006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_56918,c_12519]) ).
tcf(c_57007,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_6654]) ).
tcf(c_57010,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_21253]) ).
tcf(c_57011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_46030]) ).
tcf(c_57012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_22444]) ).
tcf(c_57013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_21433]) ).
tcf(c_57014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_22175]) ).
tcf(c_57015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_21435]) ).
tcf(c_57016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_21538]) ).
tcf(c_57017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_30247]) ).
tcf(c_57018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_23599]) ).
tcf(c_57019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_46090]) ).
tcf(c_57020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_37737]) ).
tcf(c_57021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_56918,c_27309]) ).
tcf(c_57022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_21480]) ).
tcf(c_57023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_25280]) ).
tcf(c_57024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_22511]) ).
tcf(c_57026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_51676]) ).
tcf(c_57027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_21433]) ).
tcf(c_57028,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_37729]) ).
tcf(c_57029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_56918,c_25978]) ).
tcf(c_57030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_37766]) ).
tcf(c_57031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_54879]) ).
tcf(c_57032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,c_Power_Opower__class_Opower(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_21538]) ).
tcf(c_57033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_46027]) ).
tcf(c_57034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_37981]) ).
tcf(c_57035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_56918,c_26412]) ).
tcf(c_57036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_21994]) ).
tcf(c_57037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_21989]) ).
tcf(c_57038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_56918,c_6746]) ).
tcf(c_57039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X4,X5,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_56918,c_6731]) ).
tcf(c_57040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_22663]) ).
tcf(c_57041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_6701]) ).
tcf(c_57042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_6613]) ).
tcf(c_57043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_21441]) ).
tcf(c_57044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_6552]) ).
tcf(c_57045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_6543]) ).
tcf(c_57046,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_6492]) ).
tcf(c_57049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_21994]) ).
tcf(c_57050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_21989]) ).
tcf(c_57051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_37981]) ).
tcf(c_57052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_6701]) ).
tcf(c_57053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_6613]) ).
tcf(c_57054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_21540]) ).
tcf(c_57055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_56918,c_38230]) ).
tcf(c_57056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_22666]) ).
tcf(c_57057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_21442]) ).
tcf(c_57058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_51676]) ).
tcf(c_57060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_28241]) ).
tcf(c_57061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_56918,c_38172]) ).
tcf(c_57062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_56918,c_38234]) ).
tcf(c_57063,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_56918,c_12519]) ).
tcf(c_57064,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_6654]) ).
tcf(c_57065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_54879]) ).
tcf(c_57066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_37766]) ).
tcf(c_57067,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_21253]) ).
tcf(c_57068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_46030]) ).
tcf(c_57069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_22444]) ).
tcf(c_57070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_21433]) ).
tcf(c_57071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_22175]) ).
tcf(c_57072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_21435]) ).
tcf(c_57073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_21538]) ).
tcf(c_57074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_30247]) ).
tcf(c_57075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_23599]) ).
tcf(c_57076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_46090]) ).
tcf(c_57080,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_56929,c_34526]) ).
tcf(c_57384,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_56798,c_21819]) ).
tcf(c_57385,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_56798,c_21631]) ).
tcf(c_57386,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) = X2 )
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_56798,c_1106]) ).
tcf(c_57387,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_56798,c_25164]) ).
tcf(c_57388,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_56798,c_25065]) ).
tcf(c_57391,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) = X2 ) ),
inference(superposition,[status(thm)],[c_56798,c_984]) ).
tcf(c_57394,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_56798,c_24798]) ).
tcf(c_57395,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_56798,c_24740]) ).
tcf(c_57400,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_56798,c_42820]) ).
tcf(c_57401,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_56798,c_25123]) ).
tcf(c_57402,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) = X2 ) ),
inference(superposition,[status(thm)],[c_56798,c_40814]) ).
tcf(c_57403,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) = X2 ) ),
inference(superposition,[status(thm)],[c_56798,c_40161]) ).
tcf(c_57418,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_57395,c_903]) ).
tcf(c_57420,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = X2 ) ),
inference(light_normalisation,[status(thm)],[c_57391,c_28498]) ).
tcf(c_57462,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_44044]) ).
tcf(c_57463,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),X1,tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_44044]) ).
tcf(c_57464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),tc_nat),tc_nat),X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_44044]) ).
tcf(c_57465,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_994,c_44044]) ).
tcf(c_57466,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_44044]) ).
tcf(c_57468,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_903,c_44044]) ).
tcf(c_57471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_44044]) ).
tcf(c_57472,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1129,c_44044]) ).
tcf(c_57474,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_44044]) ).
tcf(c_57475,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_44044]) ).
tcf(c_57476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),X2,tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_44044,c_1191]) ).
tcf(c_57477,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),X1,tc_nat),tc_nat),X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_44044,c_1265]) ).
tcf(c_57479,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_44044,c_1182]) ).
tcf(c_57480,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_44044,c_1052]) ).
tcf(c_57482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),tc_nat),X3,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_44044,c_1172]) ).
tcf(c_57483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),X3,tc_nat),tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat),
inference(superposition,[status(thm)],[c_44044,c_12546]) ).
tcf(c_57484,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),X2,tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_44044,c_12548]) ).
tcf(c_57485,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_44044,c_26394]) ).
tcf(c_57486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),tc_nat),X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_44044,c_26574]) ).
tcf(c_57487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X2,tc_nat),tc_nat),X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_44044,c_26415]) ).
tcf(c_57488,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_44044,c_31859]) ).
tcf(c_57492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),X3,tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_57486,c_27577]) ).
tcf(c_57497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),X2,tc_nat),X3,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57476,c_1131]) ).
tcf(c_57500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),X3,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(light_normalisation,[status(thm)],[c_57482,c_27577]) ).
tcf(c_57502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X3,tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_57471,c_30717]) ).
tcf(c_57503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X3,tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_57464,c_30791]) ).
tcf(c_57507,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_57474,c_30720]) ).
tcf(c_57565,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != X2 ) ),
inference(superposition,[status(thm)],[c_1105,c_44163]) ).
tcf(c_57566,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != X3 ) ),
inference(superposition,[status(thm)],[c_919,c_44163]) ).
tcf(c_57567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) != X3 ) ),
inference(superposition,[status(thm)],[c_918,c_44163]) ).
tcf(c_57568,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != X2 ) ),
inference(superposition,[status(thm)],[c_997,c_44163]) ).
tcf(c_57569,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != X3 ) ),
inference(superposition,[status(thm)],[c_999,c_44163]) ).
tcf(c_57570,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != X3 ) ),
inference(superposition,[status(thm)],[c_998,c_44163]) ).
tcf(c_57572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat) != X4 ) ),
inference(superposition,[status(thm)],[c_911,c_44163]) ).
tcf(c_57573,plain,
! [X0: $i,X1: $i] :
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ( X0 != X1 ) ),
inference(superposition,[status(thm)],[c_996,c_44163]) ).
tcf(c_57574,plain,
! [X0: $i,X1: $i] :
( ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat)
| ( X0 != X1 ) ),
inference(superposition,[status(thm)],[c_994,c_44163]) ).
tcf(c_57575,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) != X2 ) ),
inference(superposition,[status(thm)],[c_5328,c_44163]) ).
tcf(c_57576,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) != X2 ) ),
inference(superposition,[status(thm)],[c_1104,c_44163]) ).
tcf(c_57577,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != X2 ) ),
inference(superposition,[status(thm)],[c_5328,c_44163]) ).
tcf(c_57709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),tc_nat),tc_nat),
inference(demodulation,[status(thm)],[c_44034,c_27577,c_27589]) ).
tcf(c_57711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_44037,c_38490]) ).
tcf(c_57712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_44039,c_34460,c_38490]) ).
tcf(c_57717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_21544]) ).
tcf(c_57718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_21544]) ).
tcf(c_57719,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6631,c_21544]) ).
tcf(c_57720,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_21544]) ).
tcf(c_57721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_21544]) ).
tcf(c_57722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_21544]) ).
tcf(c_57723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X5,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X5,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_21544]) ).
tcf(c_57724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X5,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X5,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_21544]) ).
tcf(c_57725,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X2,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21309,c_21544]) ).
tcf(c_57726,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21577,c_21544]) ).
tcf(c_57727,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X2,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21309,c_21544]) ).
tcf(c_57728,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21577,c_21544]) ).
tcf(c_57729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X4,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_21544]) ).
tcf(c_57730,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6492,c_21544]) ).
tcf(c_57731,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_21544]) ).
tcf(c_57732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_21544]) ).
tcf(c_57733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_21544]) ).
tcf(c_57734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6619,c_21544]) ).
tcf(c_57735,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6631,c_21544]) ).
tcf(c_57736,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_21544]) ).
tcf(c_57737,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6654,c_21544]) ).
tcf(c_57738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6683,c_21544]) ).
tcf(c_57739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_21544]) ).
tcf(c_57740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X4,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_21544]) ).
tcf(c_57741,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_21544]) ).
tcf(c_57742,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21433,c_21544]) ).
tcf(c_57743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22175,c_21544]) ).
tcf(c_57744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21435,c_21544]) ).
tcf(c_57745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_21544]) ).
tcf(c_57746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_21544]) ).
tcf(c_57747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_56918,c_21544]) ).
tcf(c_57748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X5 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_Power_Opower__class_Opower(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21544,c_1018]) ).
tcf(c_57749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X1,c_Power_Opower__class_Opower(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21544,c_1017]) ).
tcf(c_57751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21544,c_1362]) ).
tcf(c_57752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21544,c_1281]) ).
tcf(c_57753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21544,c_1280]) ).
tcf(c_57754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_Power_Opower__class_Opower(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21544,c_1185]) ).
tcf(c_57755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = X4 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21544,c_1359]) ).
tcf(c_57756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X4,X5,tc_Complex_Ocomplex) )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X4,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21544,c_1018]) ).
tcf(c_57757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21544,c_40594]) ).
tcf(c_57758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21544,c_30118]) ).
tcf(c_57759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21544,c_29718]) ).
tcf(c_57760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21544,c_29700]) ).
tcf(c_57761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21544,c_25686]) ).
tcf(c_57762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21544,c_22768]) ).
tcf(c_57763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21544,c_22588]) ).
tcf(c_57765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21544,c_30118]) ).
tcf(c_57766,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21544,c_29718]) ).
tcf(c_57767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21544,c_29700]) ).
tcf(c_57768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21544,c_25699]) ).
tcf(c_57769,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21544,c_22336]) ).
tcf(c_57770,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_57726,c_6654]) ).
tcf(c_57771,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_57766,c_21538]) ).
tcf(c_57772,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_57767,c_21538]) ).
tcf(c_57773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_57765,c_21538]) ).
tcf(c_57778,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_57744,c_33448]) ).
tcf(c_57779,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_57743,c_33448]) ).
tcf(c_57782,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57753,c_1269]) ).
tcf(c_57785,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57752,c_1269]) ).
tcf(c_57788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57751,c_1350,c_1046]) ).
tcf(c_57791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_Power_Opower__class_Opower(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57754,c_964]) ).
tcf(c_57795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X1,c_Power_Opower__class_Opower(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57749,c_1011]) ).
tcf(c_57798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57755,c_1350,c_1046]) ).
tcf(c_57801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X4,X5,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X4,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57756,c_1011]) ).
tcf(c_57804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_Power_Opower__class_Opower(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57748,c_1011]) ).
tcf(c_57956,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_44917]) ).
tcf(c_57957,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_44917]) ).
tcf(c_57958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_44917]) ).
tcf(c_57959,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_994,c_44917]) ).
tcf(c_57960,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_44917]) ).
tcf(c_57965,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat),X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_44917]) ).
tcf(c_57968,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_44917]) ).
tcf(c_57969,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_44917]) ).
tcf(c_57970,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),X2,tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_44917,c_1191]) ).
tcf(c_57971,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat),X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_44917,c_1265]) ).
tcf(c_57973,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_44917,c_1182]) ).
tcf(c_57974,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_44917,c_1052]) ).
tcf(c_57977,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),X3,tc_nat),tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat),
inference(superposition,[status(thm)],[c_44917,c_12546]) ).
tcf(c_57978,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),X2,tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_44917,c_12548]) ).
tcf(c_57979,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_44917,c_26394]) ).
tcf(c_57980,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_44917,c_26574]) ).
tcf(c_57981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_44917,c_26415]) ).
tcf(c_57982,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_44917,c_31859]) ).
tcf(c_57989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),X2,tc_nat),X3,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57970,c_1131]) ).
tcf(c_57992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),X3,tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_57958,c_30397]) ).
tcf(c_57996,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_57969,c_30729]) ).
tcf(c_58050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X3,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_47760]) ).
tcf(c_58053,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_47760]) ).
tcf(c_58054,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_47760]) ).
tcf(c_58056,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_915,c_47760]) ).
tcf(c_58058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_47760]) ).
tcf(c_58061,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_903,c_47760]) ).
tcf(c_58062,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_915,c_47760]) ).
tcf(c_58064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_47760]) ).
tcf(c_58066,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1128,c_47760]) ).
tcf(c_58067,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_47760]) ).
tcf(c_58068,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_47760]) ).
tcf(c_58069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X3,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_47760,c_1191]) ).
tcf(c_58074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_47760,c_12546]) ).
tcf(c_58075,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_47760,c_12548]) ).
tcf(c_58078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_58064,c_27577]) ).
tcf(c_58079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),X3,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58069,c_1131]) ).
tcf(c_58131,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_58066]) ).
tcf(c_58132,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1129,c_58066]) ).
tcf(c_58133,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1128,c_58066]) ).
tcf(c_58134,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_58066]) ).
tcf(c_58135,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_58066]) ).
tcf(c_58140,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_58066]) ).
tcf(c_58141,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_1129,c_58066]) ).
tcf(c_58142,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_1128,c_58066]) ).
tcf(c_58143,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_58066]) ).
tcf(c_58144,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_58066]) ).
tcf(c_58145,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_58066,c_1191]) ).
tcf(c_58150,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_58066,c_12546]) ).
tcf(c_58151,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_58066,c_12548]) ).
tcf(c_58158,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58145,c_1131]) ).
tcf(c_58171,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),
inference(demodulation,[status(thm)],[c_44909,c_27577]) ).
tcf(c_58176,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),
inference(demodulation,[status(thm)],[c_47768,c_27577]) ).
tcf(c_58181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_58176]) ).
tcf(c_58182,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1129,c_58176]) ).
tcf(c_58183,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1128,c_58176]) ).
tcf(c_58184,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_58176]) ).
tcf(c_58185,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_58176]) ).
tcf(c_58187,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_915,c_58176]) ).
tcf(c_58189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_58176]) ).
tcf(c_58191,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_902,c_58176]) ).
tcf(c_58192,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_903,c_58176]) ).
tcf(c_58193,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_915,c_58176]) ).
tcf(c_58195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_58176]) ).
tcf(c_58196,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1129,c_58176]) ).
tcf(c_58197,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1128,c_58176]) ).
tcf(c_58198,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_58176]) ).
tcf(c_58199,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_58176]) ).
tcf(c_58200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),X3,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_58176,c_1191]) ).
tcf(c_58204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_58176,c_12546]) ).
tcf(c_58205,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_58176,c_12548]) ).
tcf(c_58216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),X3,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58200,c_1131]) ).
tcf(c_58279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_47774]) ).
tcf(c_58280,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1129,c_47774]) ).
tcf(c_58281,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1128,c_47774]) ).
tcf(c_58282,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_47774]) ).
tcf(c_58283,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_47774]) ).
tcf(c_58285,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_915,c_47774]) ).
tcf(c_58287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_47774]) ).
tcf(c_58293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_47774]) ).
tcf(c_58296,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_47774]) ).
tcf(c_58297,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_47774]) ).
tcf(c_58298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X3,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_47774,c_1191]) ).
tcf(c_58299,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_47774,c_1051]) ).
tcf(c_58302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_47774,c_12546]) ).
tcf(c_58303,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_47774,c_12548]) ).
tcf(c_58307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_58287,c_27577]) ).
tcf(c_58308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),X3,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58298,c_1131]) ).
tcf(c_58331,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_21546,c_21540,c_22336]) ).
tcf(c_58339,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21386,c_58331]) ).
tcf(c_58347,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26127,c_58331]) ).
tcf(c_58348,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_37737]) ).
tcf(c_58349,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_58331,c_27309]) ).
tcf(c_58350,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_21480]) ).
tcf(c_58351,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_25280]) ).
tcf(c_58352,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_22511]) ).
tcf(c_58354,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_51676]) ).
tcf(c_58355,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_21433]) ).
tcf(c_58356,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_37729]) ).
tcf(c_58357,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_58331,c_25978]) ).
tcf(c_58360,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_21538]) ).
tcf(c_58361,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_46027]) ).
tcf(c_58362,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_37981]) ).
tcf(c_58363,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_58331,c_26412]) ).
tcf(c_58366,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_58331,c_6746]) ).
tcf(c_58367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_58331,c_6731]) ).
tcf(c_58368,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_22663]) ).
tcf(c_58369,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_6701]) ).
tcf(c_58370,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_6613]) ).
tcf(c_58371,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_21441]) ).
tcf(c_58372,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_6552]) ).
tcf(c_58373,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_6543]) ).
tcf(c_58374,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_6492]) ).
tcf(c_58377,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_37981]) ).
tcf(c_58378,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_6701]) ).
tcf(c_58379,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_6613]) ).
tcf(c_58380,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_21540]) ).
tcf(c_58381,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_58331,c_38230]) ).
tcf(c_58382,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_22666]) ).
tcf(c_58383,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_21442]) ).
tcf(c_58384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_51676]) ).
tcf(c_58385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_28241]) ).
tcf(c_58386,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_58331,c_38172]) ).
tcf(c_58387,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_58331,c_38234]) ).
tcf(c_58388,plain,
! [X0: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_58331,c_12519]) ).
tcf(c_58389,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_6654]) ).
tcf(c_58390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_21544]) ).
tcf(c_58393,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_21253]) ).
tcf(c_58394,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_46030]) ).
tcf(c_58395,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_22444]) ).
tcf(c_58396,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_21433]) ).
tcf(c_58397,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_22175]) ).
tcf(c_58398,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_21435]) ).
tcf(c_58399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_21538]) ).
tcf(c_58400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_21544]) ).
tcf(c_58401,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_30247]) ).
tcf(c_58402,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_23599]) ).
tcf(c_58403,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_46090]) ).
tcf(c_58404,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_37737]) ).
tcf(c_58405,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_58331,c_27309]) ).
tcf(c_58406,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_21480]) ).
tcf(c_58407,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_25280]) ).
tcf(c_58408,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_22511]) ).
tcf(c_58410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_51676]) ).
tcf(c_58411,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_21433]) ).
tcf(c_58412,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_37729]) ).
tcf(c_58413,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_58331,c_25978]) ).
tcf(c_58414,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_37766]) ).
tcf(c_58415,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_54879]) ).
tcf(c_58416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_21538]) ).
tcf(c_58417,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_46027]) ).
tcf(c_58418,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_37981]) ).
tcf(c_58419,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_58331,c_26412]) ).
tcf(c_58420,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_21994]) ).
tcf(c_58421,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_21989]) ).
tcf(c_58422,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_58331,c_6746]) ).
tcf(c_58423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_58331,c_6731]) ).
tcf(c_58424,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_22663]) ).
tcf(c_58425,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_6701]) ).
tcf(c_58426,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_6613]) ).
tcf(c_58427,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_21441]) ).
tcf(c_58428,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_6552]) ).
tcf(c_58429,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_6543]) ).
tcf(c_58430,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_6492]) ).
tcf(c_58431,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_21994]) ).
tcf(c_58432,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_21989]) ).
tcf(c_58433,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_37981]) ).
tcf(c_58434,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_6701]) ).
tcf(c_58435,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_6613]) ).
tcf(c_58436,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_21540]) ).
tcf(c_58437,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_58331,c_38230]) ).
tcf(c_58438,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_22666]) ).
tcf(c_58439,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_21442]) ).
tcf(c_58440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_51676]) ).
tcf(c_58441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_28241]) ).
tcf(c_58442,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_58331,c_38172]) ).
tcf(c_58443,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_58331,c_38234]) ).
tcf(c_58444,plain,
! [X0: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_58331,c_12519]) ).
tcf(c_58445,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_6654]) ).
tcf(c_58446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_21544]) ).
tcf(c_58447,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_54879]) ).
tcf(c_58448,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_37766]) ).
tcf(c_58449,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_21253]) ).
tcf(c_58450,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_46030]) ).
tcf(c_58451,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_22444]) ).
tcf(c_58452,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_21433]) ).
tcf(c_58453,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_22175]) ).
tcf(c_58454,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_21435]) ).
tcf(c_58455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_21538]) ).
tcf(c_58456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_21544]) ).
tcf(c_58457,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_30247]) ).
tcf(c_58458,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_23599]) ).
tcf(c_58459,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_58331,c_46090]) ).
tcf(c_58460,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_58339,c_6648]) ).
tcf(c_58926,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(demodulation,[status(thm)],[c_50116,c_27577]) ).
tcf(c_58944,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0),X1,X0) ),
inference(superposition,[status(thm)],[c_49851,c_1191]) ).
tcf(c_58953,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_49851,c_12550]) ).
tcf(c_58954,plain,
! [X0: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_49851,c_12552]) ).
tcf(c_58960,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_49851,c_24488]) ).
tcf(c_58962,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_49851,c_24550]) ).
tcf(c_58977,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_50122]) ).
tcf(c_58978,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_50122]) ).
tcf(c_58979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X3,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_50122]) ).
tcf(c_58982,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_915,c_50122]) ).
tcf(c_58984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_50122]) ).
tcf(c_58990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_50122]) ).
tcf(c_58993,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_50122]) ).
tcf(c_58994,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_50122]) ).
tcf(c_58995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_50122,c_1191]) ).
tcf(c_58996,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),X2,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_50122,c_1265]) ).
tcf(c_58998,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_50122,c_1182]) ).
tcf(c_59001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat),
inference(superposition,[status(thm)],[c_50122,c_12546]) ).
tcf(c_59002,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_50122,c_12548]) ).
tcf(c_59003,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_50122,c_26394]) ).
tcf(c_59004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X3,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_50122,c_26574]) ).
tcf(c_59005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X3,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_50122,c_26415]) ).
tcf(c_59006,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_50122,c_31859]) ).
tcf(c_59008,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_58998,c_1131]) ).
tcf(c_59009,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_58978,c_27577]) ).
tcf(c_59012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),X3,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58995,c_1131]) ).
tcf(c_59027,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X2,tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_54035]) ).
tcf(c_59030,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_54035]) ).
tcf(c_59031,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_54035]) ).
tcf(c_59036,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_54035]) ).
tcf(c_59037,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X2,tc_nat),tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_54035]) ).
tcf(c_59038,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),X2,tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_54035]) ).
tcf(c_59039,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_54035]) ).
tcf(c_59040,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat),tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_54035]) ).
tcf(c_59042,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_996,c_54035]) ).
tcf(c_59044,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_54035]) ).
tcf(c_59045,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_54035]) ).
tcf(c_59046,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_54035,c_1191]) ).
tcf(c_59051,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_54035,c_12546]) ).
tcf(c_59052,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_54035,c_12548]) ).
tcf(c_59057,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),X2,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59046,c_1131]) ).
tcf(c_59069,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_54043]) ).
tcf(c_59072,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_54043]) ).
tcf(c_59073,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_54043]) ).
tcf(c_59077,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_54043]) ).
tcf(c_59079,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_54043]) ).
tcf(c_59080,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_54043]) ).
tcf(c_59081,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_54043]) ).
tcf(c_59082,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_54043]) ).
tcf(c_59083,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_54043]) ).
tcf(c_59085,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_996,c_54043]) ).
tcf(c_59087,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_54043]) ).
tcf(c_59088,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_54043]) ).
tcf(c_59089,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_54043,c_1191]) ).
tcf(c_59094,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X2,tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_54043,c_12546]) ).
tcf(c_59095,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_54043,c_12548]) ).
tcf(c_59100,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),X0,tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_59081,c_27577]) ).
tcf(c_59101,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_59080,c_27577]) ).
tcf(c_59102,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X2,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),tc_nat),X2,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59089,c_1131]) ).
tcf(c_59151,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_54333,c_38490]) ).
tcf(c_59158,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != X2 ) ),
inference(superposition,[status(thm)],[c_1105,c_57568]) ).
tcf(c_59159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != X3 ) ),
inference(superposition,[status(thm)],[c_919,c_57568]) ).
tcf(c_59160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) != X3 ) ),
inference(superposition,[status(thm)],[c_918,c_57568]) ).
tcf(c_59162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != X3 ) ),
inference(superposition,[status(thm)],[c_999,c_57568]) ).
tcf(c_59163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) != X3 ) ),
inference(superposition,[status(thm)],[c_998,c_57568]) ).
tcf(c_59165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat) != X4 ) ),
inference(superposition,[status(thm)],[c_911,c_57568]) ).
tcf(c_59168,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) != X2 ) ),
inference(superposition,[status(thm)],[c_5328,c_57568]) ).
tcf(c_59169,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) != X2 ) ),
inference(superposition,[status(thm)],[c_1104,c_57568]) ).
tcf(c_59170,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) != X2 ) ),
inference(superposition,[status(thm)],[c_5328,c_57568]) ).
tcf(c_59196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_58062]) ).
tcf(c_59199,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_58062]) ).
tcf(c_59200,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_58062]) ).
tcf(c_59202,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_915,c_58062]) ).
tcf(c_59204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_58062]) ).
tcf(c_59210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_58062]) ).
tcf(c_59213,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_58062]) ).
tcf(c_59214,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_58062]) ).
tcf(c_59215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),X3,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_58062,c_1191]) ).
tcf(c_59216,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_58062,c_1052]) ).
tcf(c_59220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_58062,c_12546]) ).
tcf(c_59221,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_58062,c_12548]) ).
tcf(c_59224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),X3,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),X3,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59215,c_1131]) ).
tcf(c_59232,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_56398,c_38490]) ).
tcf(c_59235,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6607,c_59232]) ).
tcf(c_59236,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21364,c_59232]) ).
tcf(c_59237,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21375,c_59232]) ).
tcf(c_59238,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_59232]) ).
tcf(c_59241,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23285,c_59232]) ).
tcf(c_59242,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_59232]) ).
tcf(c_59247,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22325,c_59232]) ).
tcf(c_59249,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10643,c_59232]) ).
tcf(c_59250,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6607,c_59232]) ).
tcf(c_59253,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_59232]) ).
tcf(c_59254,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21443,c_59232]) ).
tcf(c_59256,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23285,c_59232]) ).
tcf(c_59257,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38172,c_59232]) ).
tcf(c_59258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_59232,c_1191]) ).
tcf(c_59275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59258,c_964]) ).
tcf(c_59283,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6701,c_56568]) ).
tcf(c_59286,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) != X1 ) ),
inference(superposition,[status(thm)],[c_27447,c_56568]) ).
tcf(c_59291,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) != X1 ) ),
inference(superposition,[status(thm)],[c_25686,c_56568]) ).
tcf(c_59292,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) != X1 ) ),
inference(superposition,[status(thm)],[c_25699,c_56568]) ).
tcf(c_59311,plain,
c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_nat))),tc_Polynomial_Opoly(tc_nat)) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_1031,c_21568]) ).
tcf(c_59312,plain,
c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_1030,c_21568]) ).
tcf(c_59313,plain,
! [X0: $i] :
( ( c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0)))),tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_HOL_Ozero(X0) ),
inference(superposition,[status(thm)],[c_1029,c_21568]) ).
tcf(c_59321,plain,
! [X0: $i] : c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_Polynomial_Opoly(tc_nat)) = c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),
inference(superposition,[status(thm)],[c_1131,c_21578]) ).
tcf(c_59322,plain,
! [X0: $i] : c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_964,c_21578]) ).
tcf(c_59323,plain,
! [X0: $i,X1: $i] :
( ( c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))) = c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_21578]) ).
tcf(c_59329,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_59321,c_943]) ).
tcf(c_59330,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_59321,c_947]) ).
tcf(c_59331,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_Polynomial_Opoly(tc_nat)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_nat)) ),
inference(superposition,[status(thm)],[c_59321,c_943]) ).
tcf(c_59332,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_nat)),tc_Polynomial_Opoly(tc_nat))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_nat)) ),
inference(light_normalisation,[status(thm)],[c_59331,c_59321]) ).
tcf(c_59333,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_59322,c_943]) ).
tcf(c_59334,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_59322,c_947]) ).
tcf(c_59335,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_59322,c_943]) ).
tcf(c_59336,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(light_normalisation,[status(thm)],[c_59335,c_59322]) ).
tcf(c_59344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),X1,tc_nat),X3,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_21589]) ).
tcf(c_59346,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_21589]) ).
tcf(c_59347,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_21589]) ).
tcf(c_59349,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_21589]) ).
tcf(c_59350,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_21589]) ).
tcf(c_59351,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_21589]) ).
tcf(c_59353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_21589]) ).
tcf(c_59354,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_21589]) ).
tcf(c_59356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),X1,tc_nat),X4,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_21589]) ).
tcf(c_59360,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_21589]) ).
tcf(c_59362,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat),X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21589,c_21819]) ).
tcf(c_59363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21589,c_21631]) ).
tcf(c_59364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_21589,c_1106]) ).
tcf(c_59365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21589,c_25164]) ).
tcf(c_59366,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21589,c_25065]) ).
tcf(c_59367,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21589,c_21595]) ).
tcf(c_59370,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),tc_nat),tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_21589,c_21820]) ).
tcf(c_59371,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),tc_nat),tc_nat),X2,tc_nat),
inference(superposition,[status(thm)],[c_21589,c_21610]) ).
tcf(c_59372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),X3,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21589,c_21592]) ).
tcf(c_59373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X3,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21589,c_987]) ).
tcf(c_59435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat) = X3 ) ),
inference(superposition,[status(thm)],[c_21849,c_21669]) ).
tcf(c_59436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat) = X3 ) ),
inference(superposition,[status(thm)],[c_993,c_21669]) ).
tcf(c_59437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,tc_nat),tc_nat),tc_nat),tc_nat),X3,tc_nat),
inference(superposition,[status(thm)],[c_991,c_21669]) ).
tcf(c_59441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1099,c_21669]) ).
tcf(c_59443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21888,c_21669]) ).
tcf(c_59444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X3,tc_nat),X2,tc_nat),
inference(superposition,[status(thm)],[c_997,c_21669]) ).
tcf(c_59449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X4,tc_nat),tc_nat),X4,tc_nat),
inference(superposition,[status(thm)],[c_911,c_21669]) ).
tcf(c_59456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),tc_nat),X4,tc_nat),
inference(superposition,[status(thm)],[c_911,c_21669]) ).
tcf(c_59458,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_21669]) ).
tcf(c_59459,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),X2,tc_nat),
inference(superposition,[status(thm)],[c_5328,c_21669]) ).
tcf(c_59461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_21669]) ).
tcf(c_59462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X3,X4,tc_nat),tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_21669]) ).
tcf(c_59463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X4,tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_21669]) ).
tcf(c_59465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,tc_nat),tc_nat),tc_nat),tc_nat),X4,tc_nat),
inference(superposition,[status(thm)],[c_999,c_21669]) ).
tcf(c_59466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,tc_nat),tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,X4,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_21669]) ).
tcf(c_59468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X4,tc_nat),X5,tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X5,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_21669]) ).
tcf(c_59469,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_996,c_21669]) ).
tcf(c_59471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X3,tc_nat),tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_21669]) ).
tcf(c_59472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_21669]) ).
tcf(c_59473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_21669]) ).
tcf(c_59474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),X2,tc_nat),
inference(light_normalisation,[status(thm)],[c_59444,c_28505]) ).
tcf(c_59509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),X1,tc_nat),
inference(demodulation,[status(thm)],[c_21678,c_28498]) ).
tcf(c_59510,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_997,c_21697]) ).
tcf(c_59512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_21697]) ).
tcf(c_59516,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_21697]) ).
tcf(c_59518,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_21697]) ).
tcf(c_59519,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_21697]) ).
tcf(c_59521,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_21697]) ).
tcf(c_59522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_21697]) ).
tcf(c_59523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_21697]) ).
tcf(c_59525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_21697]) ).
tcf(c_59526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_21697]) ).
tcf(c_59528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),X1,tc_nat),X4,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_21697]) ).
tcf(c_59532,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_21697]) ).
tcf(c_59534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat),X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21697,c_21819]) ).
tcf(c_59535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21697,c_21631]) ).
tcf(c_59536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_21697,c_1106]) ).
tcf(c_59537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21697,c_25164]) ).
tcf(c_59538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21697,c_25065]) ).
tcf(c_59541,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_21697,c_984]) ).
tcf(c_59542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),tc_nat),tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_21697,c_21820]) ).
tcf(c_59543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),tc_nat),tc_nat),X2,tc_nat),
inference(superposition,[status(thm)],[c_21697,c_21610]) ).
tcf(c_59544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),X3,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21697,c_21592]) ).
tcf(c_59545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X3,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21697,c_987]) ).
tcf(c_59548,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat) ),
inference(light_normalisation,[status(thm)],[c_59541,c_994]) ).
tcf(c_59616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat) = X2 ) ),
inference(superposition,[status(thm)],[c_21849,c_21825]) ).
tcf(c_59617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat) = X2 ) ),
inference(superposition,[status(thm)],[c_993,c_21825]) ).
tcf(c_59618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X4,tc_nat),tc_nat),tc_nat),X2,tc_nat),
inference(superposition,[status(thm)],[c_991,c_21825]) ).
tcf(c_59619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X4,tc_nat),tc_nat),tc_nat),X3,tc_nat),
inference(superposition,[status(thm)],[c_990,c_21825]) ).
tcf(c_59621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ c_HOL_Oord__class_Oless(X4,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_978,c_21825]) ).
tcf(c_59622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1099,c_21825]) ).
tcf(c_59624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X3,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21888,c_21825]) ).
tcf(c_59625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X3,tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_997,c_21825]) ).
tcf(c_59630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X4,tc_nat),tc_nat),X3,tc_nat),
inference(superposition,[status(thm)],[c_911,c_21825]) ).
tcf(c_59637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_21825]) ).
tcf(c_59639,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat),X2,tc_nat),
inference(superposition,[status(thm)],[c_5328,c_21825]) ).
tcf(c_59640,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_21825]) ).
tcf(c_59642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),X2,tc_nat),
inference(superposition,[status(thm)],[c_1105,c_21825]) ).
tcf(c_59643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X3,X4,tc_nat),tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_21825]) ).
tcf(c_59644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X4,tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_21825]) ).
tcf(c_59646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,tc_nat),tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_21825]) ).
tcf(c_59649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X4,tc_nat),X5,tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_21825]) ).
tcf(c_59653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,tc_nat),tc_nat),tc_nat),X3,tc_nat),
inference(superposition,[status(thm)],[c_1104,c_21825]) ).
tcf(c_59655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),X1,tc_nat),
inference(light_normalisation,[status(thm)],[c_59625,c_28505]) ).
tcf(c_59690,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_1105,c_21854]) ).
tcf(c_59691,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_919,c_21854]) ).
tcf(c_59692,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_918,c_21854]) ).
tcf(c_59693,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_997,c_21854]) ).
tcf(c_59694,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) = X2 ) ),
inference(superposition,[status(thm)],[c_999,c_21854]) ).
tcf(c_59695,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_998,c_21854]) ).
tcf(c_59697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),X3,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),X3,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),X3,tc_nat) ) ),
inference(superposition,[status(thm)],[c_911,c_21854]) ).
tcf(c_59700,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_5328,c_21854]) ).
tcf(c_59701,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) ) ),
inference(superposition,[status(thm)],[c_1104,c_21854]) ).
tcf(c_59702,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_5328,c_21854]) ).
tcf(c_59703,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_21854,c_21819]) ).
tcf(c_59704,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_21854,c_21631]) ).
tcf(c_59705,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X1 )
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_21854,c_1106]) ).
tcf(c_59706,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_21854,c_25164]) ).
tcf(c_59707,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_21854,c_25065]) ).
tcf(c_59710,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_21854,c_984]) ).
tcf(c_59713,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_21854,c_21592]) ).
tcf(c_59714,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_21854,c_987]) ).
tcf(c_59715,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_21854,c_972]) ).
tcf(c_59719,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X0,tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_21854,c_25123]) ).
tcf(c_59726,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X1 ) ),
inference(light_normalisation,[status(thm)],[c_59706,c_28498]) ).
tcf(c_59731,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X1 ) ),
inference(light_normalisation,[status(thm)],[c_59703,c_28498]) ).
tcf(c_59738,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = X2 ) ),
inference(light_normalisation,[status(thm)],[c_59694,c_28498]) ).
tcf(c_59754,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),X2,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_59692,c_36375]) ).
tcf(c_59757,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_59691,c_36648]) ).
tcf(c_59764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),X2,tc_nat),X3,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X3,tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_59697,c_53461]) ).
tcf(c_59849,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_1105,c_21855]) ).
tcf(c_59850,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_919,c_21855]) ).
tcf(c_59851,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_918,c_21855]) ).
tcf(c_59852,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_997,c_21855]) ).
tcf(c_59853,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_999,c_21855]) ).
tcf(c_59854,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_998,c_21855]) ).
tcf(c_59856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),X3,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),X3,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_911,c_21855]) ).
tcf(c_59860,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_1104,c_21855]) ).
tcf(c_59862,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_21855,c_21819]) ).
tcf(c_59863,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_21855,c_21631]) ).
tcf(c_59864,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X0 )
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_21855,c_1106]) ).
tcf(c_59865,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_21855,c_25164]) ).
tcf(c_59866,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_21855,c_25065]) ).
tcf(c_59869,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_21855,c_984]) ).
tcf(c_59870,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) )
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_21855,c_21820]) ).
tcf(c_59871,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) )
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_21855,c_21610]) ).
tcf(c_59872,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_21855,c_21592]) ).
tcf(c_59873,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_21855,c_987]) ).
tcf(c_59883,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_59865,c_28498]) ).
tcf(c_59888,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_59862,c_28498]) ).
tcf(c_59899,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_59873,c_28498]) ).
tcf(c_59902,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_59872,c_28498]) ).
tcf(c_59908,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) )
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X0,tc_nat) ),
inference(light_normalisation,[status(thm)],[c_59871,c_28498]) ).
tcf(c_59909,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) )
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X1,tc_nat) ),
inference(light_normalisation,[status(thm)],[c_59870,c_28498]) ).
tcf(c_59910,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_59853,c_28498]) ).
tcf(c_59913,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),X2,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_59851,c_36375]) ).
tcf(c_59916,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_59850,c_36648]) ).
tcf(c_59919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),X2,tc_nat),X3,tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_59856,c_53461]) ).
tcf(c_59956,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_997,c_21897]) ).
tcf(c_59961,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_21897]) ).
tcf(c_59966,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_21897]) ).
tcf(c_59968,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X0,tc_nat),X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_21897]) ).
tcf(c_59973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_21897]) ).
tcf(c_59975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21897,c_21819]) ).
tcf(c_59976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21897,c_21631]) ).
tcf(c_59977,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_21897,c_1106]) ).
tcf(c_59978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21897,c_25164]) ).
tcf(c_59979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21897,c_25065]) ).
tcf(c_59982,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_21897,c_984]) ).
tcf(c_59983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),X2,tc_nat),
inference(superposition,[status(thm)],[c_21897,c_21820]) ).
tcf(c_59984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),X3,tc_nat),
inference(superposition,[status(thm)],[c_21897,c_21610]) ).
tcf(c_59985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21897,c_21592]) ).
tcf(c_59986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_21897,c_987]) ).
tcf(c_59989,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(light_normalisation,[status(thm)],[c_59982,c_34908]) ).
tcf(c_60094,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_21980,c_33421]) ).
tcf(c_60096,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10643,c_60094]) ).
tcf(c_60097,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6607,c_60094]) ).
tcf(c_60100,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_60094]) ).
tcf(c_60101,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21443,c_60094]) ).
tcf(c_60102,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22325,c_60094]) ).
tcf(c_60103,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_23285,c_60094]) ).
tcf(c_60108,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60094,c_1293]) ).
tcf(c_60109,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60094,c_1265]) ).
tcf(c_60110,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = X2 )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60094,c_1294]) ).
tcf(c_60111,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60094,c_1267]) ).
tcf(c_60112,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60094,c_1266]) ).
tcf(c_60113,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60094,c_1264]) ).
tcf(c_60114,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60094,c_32836]) ).
tcf(c_60115,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60094,c_24550]) ).
tcf(c_60116,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ominus__class_Ominus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_60094,c_27447]) ).
tcf(c_60117,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ominus__class_Ominus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_60094,c_25685]) ).
tcf(c_60118,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_60094,c_25380]) ).
tcf(c_60119,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_60094,c_24284]) ).
tcf(c_60120,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60094,c_24546]) ).
tcf(c_60121,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60094,c_24485]) ).
tcf(c_60122,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_60094,c_24064]) ).
tcf(c_60123,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_60094,c_24023]) ).
tcf(c_60126,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60094,c_41879]) ).
tcf(c_60127,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60094,c_41878]) ).
tcf(c_60128,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60094,c_32836]) ).
tcf(c_60129,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_60094,c_30247]) ).
tcf(c_60130,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != X2 ) ),
inference(superposition,[status(thm)],[c_60094,c_29422]) ).
tcf(c_60131,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60094,c_28798]) ).
tcf(c_60132,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60094,c_24488]) ).
tcf(c_60133,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_60094,c_37922]) ).
tcf(c_60134,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_60094,c_37815]) ).
tcf(c_60135,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60094,c_34336]) ).
tcf(c_60136,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_60094,c_32620]) ).
tcf(c_60137,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60094,c_29062]) ).
tcf(c_60138,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_60094,c_10416]) ).
tcf(c_60139,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60094,c_27397]) ).
tcf(c_60140,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60094,c_26727]) ).
tcf(c_60141,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_60094,c_26127]) ).
tcf(c_60142,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60094,c_26062]) ).
tcf(c_60143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_60094,c_25280]) ).
tcf(c_60144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_60094,c_24895]) ).
tcf(c_60145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_60094,c_24866]) ).
tcf(c_60146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_60094,c_24213]) ).
tcf(c_60147,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_60094,c_24002]) ).
tcf(c_60150,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_60094,c_23599]) ).
tcf(c_60151,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_60094,c_22663]) ).
tcf(c_60152,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_60094,c_22655]) ).
tcf(c_60153,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_60094,c_22643]) ).
tcf(c_60154,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_60094,c_22640]) ).
tcf(c_60157,plain,
! [X0: $i,X1: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_60094,c_21461]) ).
tcf(c_60159,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_60096,c_21455]) ).
tcf(c_60160,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_60153,c_38490]) ).
tcf(c_60161,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_60151,c_34526]) ).
tcf(c_60162,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0,
inference(light_normalisation,[status(thm)],[c_60103,c_21461]) ).
tcf(c_60164,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_60150,c_10640]) ).
tcf(c_60171,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_60147,c_38490]) ).
tcf(c_60180,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_60136,c_10640]) ).
tcf(c_60190,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_60127,c_10640]) ).
tcf(c_60193,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_60126,c_60094]) ).
tcf(c_60204,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60110,c_1269]) ).
tcf(c_60390,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6432,c_22183]) ).
tcf(c_60391,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10640,c_22183]) ).
tcf(c_60392,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6552,c_22183]) ).
tcf(c_60393,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6559,c_22183]) ).
tcf(c_60394,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10735,c_22183]) ).
tcf(c_60396,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_32620,c_22183]) ).
tcf(c_60450,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_37737]) ).
tcf(c_60451,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22183,c_27309]) ).
tcf(c_60452,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_21480]) ).
tcf(c_60453,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_25280]) ).
tcf(c_60454,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_22511]) ).
tcf(c_60456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_51676]) ).
tcf(c_60457,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_21433]) ).
tcf(c_60458,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_37729]) ).
tcf(c_60459,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22183,c_25978]) ).
tcf(c_60460,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_37766]) ).
tcf(c_60461,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_54879]) ).
tcf(c_60462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_21538]) ).
tcf(c_60463,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_46027]) ).
tcf(c_60464,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_37981]) ).
tcf(c_60465,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22183,c_26412]) ).
tcf(c_60466,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_21994]) ).
tcf(c_60467,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_21989]) ).
tcf(c_60468,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22183,c_6746]) ).
tcf(c_60469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22183,c_6731]) ).
tcf(c_60470,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_22663]) ).
tcf(c_60471,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_6701]) ).
tcf(c_60472,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_6613]) ).
tcf(c_60473,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_21441]) ).
tcf(c_60474,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_6552]) ).
tcf(c_60475,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_6543]) ).
tcf(c_60476,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_6492]) ).
tcf(c_60477,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_21994]) ).
tcf(c_60478,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_21989]) ).
tcf(c_60480,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_6701]) ).
tcf(c_60481,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_6613]) ).
tcf(c_60482,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_21540]) ).
tcf(c_60483,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_22183,c_38230]) ).
tcf(c_60484,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_22666]) ).
tcf(c_60486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_51676]) ).
tcf(c_60487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_28241]) ).
tcf(c_60489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_21544]) ).
tcf(c_60490,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_54879]) ).
tcf(c_60491,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_37766]) ).
tcf(c_60492,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_21253]) ).
tcf(c_60493,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_46030]) ).
tcf(c_60494,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_22444]) ).
tcf(c_60495,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_21433]) ).
tcf(c_60496,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_22175]) ).
tcf(c_60497,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_21435]) ).
tcf(c_60498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_21538]) ).
tcf(c_60499,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_21544]) ).
tcf(c_60500,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_30247]) ).
tcf(c_60501,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_23599]) ).
tcf(c_60502,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_46090]) ).
tcf(c_60504,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_60501,c_32620]) ).
tcf(c_60505,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_60502,c_22228]) ).
tcf(c_60509,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_60500,c_32620]) ).
tcf(c_60514,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_60477,c_32620]) ).
tcf(c_60520,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_60458,c_6607]) ).
tcf(c_60524,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_60495,c_6552]) ).
tcf(c_60525,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_60524,c_34469]) ).
tcf(c_60526,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_60457,c_32590]) ).
tcf(c_60532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_60499,c_10735]) ).
tcf(c_60647,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_60504,c_10416]) ).
tcf(c_60656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_23034]) ).
tcf(c_60658,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_23034]) ).
tcf(c_60659,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_23034]) ).
tcf(c_60661,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_23034]) ).
tcf(c_60662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_23034]) ).
tcf(c_60663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X0,tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_23034]) ).
tcf(c_60666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_23034]) ).
tcf(c_60668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X4,X0,tc_nat),X1,tc_nat),X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_23034]) ).
tcf(c_60671,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_23034]) ).
tcf(c_60672,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_23034]) ).
tcf(c_60673,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_23034]) ).
tcf(c_60676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_23034,c_1106]) ).
tcf(c_60682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),tc_nat),X2,tc_nat),
inference(superposition,[status(thm)],[c_23034,c_21820]) ).
tcf(c_60683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),tc_nat),X3,tc_nat),
inference(superposition,[status(thm)],[c_23034,c_21610]) ).
tcf(c_60684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_23034,c_21592]) ).
tcf(c_60699,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_997,c_23040]) ).
tcf(c_60701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X3,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_23040]) ).
tcf(c_60707,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_23040]) ).
tcf(c_60708,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_23040]) ).
tcf(c_60710,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_23040]) ).
tcf(c_60711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_23040]) ).
tcf(c_60712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X0,tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_23040]) ).
tcf(c_60715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_23040]) ).
tcf(c_60717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X4,X0,tc_nat),X1,tc_nat),X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_23040]) ).
tcf(c_60720,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_23040]) ).
tcf(c_60721,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_23040]) ).
tcf(c_60722,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_23040]) ).
tcf(c_60725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_23040,c_1106]) ).
tcf(c_60730,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_23040,c_984]) ).
tcf(c_60731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),tc_nat),X2,tc_nat),
inference(superposition,[status(thm)],[c_23040,c_21820]) ).
tcf(c_60732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),tc_nat),X3,tc_nat),
inference(superposition,[status(thm)],[c_23040,c_21610]) ).
tcf(c_60733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_23040,c_21592]) ).
tcf(c_60829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(demodulation,[status(thm)],[c_21719,c_22175,c_46097]) ).
tcf(c_60843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_60829]) ).
tcf(c_60844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_60829]) ).
tcf(c_60845,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6654,c_60829]) ).
tcf(c_60846,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21253,c_60829]) ).
tcf(c_60847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21433,c_60829]) ).
tcf(c_60848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22175,c_60829]) ).
tcf(c_60849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21435,c_60829]) ).
tcf(c_60850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_56918,c_60829]) ).
tcf(c_60853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6415,c_60829]) ).
tcf(c_60855,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6648,c_60829]) ).
tcf(c_60856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_60829]) ).
tcf(c_60857,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_60829]) ).
tcf(c_60858,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6619,c_60829]) ).
tcf(c_60859,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6631,c_60829]) ).
tcf(c_60860,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_60829]) ).
tcf(c_60861,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6654,c_60829]) ).
tcf(c_60862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6683,c_60829]) ).
tcf(c_60863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10416,c_60829]) ).
tcf(c_60865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21250,c_60829]) ).
tcf(c_60866,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21253,c_60829]) ).
tcf(c_60867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21433,c_60829]) ).
tcf(c_60868,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22175,c_60829]) ).
tcf(c_60869,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21435,c_60829]) ).
tcf(c_60870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_46027,c_60829]) ).
tcf(c_60871,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_58331,c_60829]) ).
tcf(c_60872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22183,c_60829]) ).
tcf(c_60873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_56918,c_60829]) ).
tcf(c_60874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_58331,c_60829]) ).
tcf(c_60875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_56918,c_60829]) ).
tcf(c_60877,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10643,c_60829]) ).
tcf(c_60878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6607,c_60829]) ).
tcf(c_60879,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21364,c_60829]) ).
tcf(c_60880,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21375,c_60829]) ).
tcf(c_60881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21402,c_60829]) ).
tcf(c_60883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22325,c_60829]) ).
tcf(c_60884,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23285,c_60829]) ).
tcf(c_60885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_60829]) ).
tcf(c_60889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60829,c_1052]) ).
tcf(c_60890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60829,c_1051]) ).
tcf(c_60891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60829,c_1173]) ).
tcf(c_60892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60829,c_1172]) ).
tcf(c_60894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60829,c_26336]) ).
tcf(c_60897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60829,c_1052]) ).
tcf(c_60898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60829,c_1049]) ).
tcf(c_60899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60829,c_1170]) ).
tcf(c_60900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = X5 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X3,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_1364]) ).
tcf(c_60902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60829,c_26505]) ).
tcf(c_60907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X5,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60829,c_1176]) ).
tcf(c_60908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60829,c_1051]) ).
tcf(c_60909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60829,c_1050]) ).
tcf(c_60910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60829,c_1050]) ).
tcf(c_60911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60829,c_1171]) ).
tcf(c_60912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60829,c_1049]) ).
tcf(c_60913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = X5 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X5,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_1355]) ).
tcf(c_60914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) = X1 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_1355]) ).
tcf(c_60915,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_60094]) ).
tcf(c_60916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_59232]) ).
tcf(c_60917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X4,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_56918]) ).
tcf(c_60919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_38021]) ).
tcf(c_60920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_38020]) ).
tcf(c_60921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_37756]) ).
tcf(c_60922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_37755]) ).
tcf(c_60923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_54192]) ).
tcf(c_60924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_37737]) ).
tcf(c_60925,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60829,c_33538]) ).
tcf(c_60926,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_38577]) ).
tcf(c_60927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_37729]) ).
tcf(c_60928,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_10640]) ).
tcf(c_60929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60829,c_26571]) ).
tcf(c_60930,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60829,c_26409]) ).
tcf(c_60931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_24284]) ).
tcf(c_60932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_24064]) ).
tcf(c_60933,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_24002]) ).
tcf(c_60934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_22643]) ).
tcf(c_60936,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_22227]) ).
tcf(c_60937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_6683]) ).
tcf(c_60938,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_6619]) ).
tcf(c_60939,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60829,c_26336]) ).
tcf(c_60940,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X5,X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X5,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60829,c_1176]) ).
tcf(c_60941,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_37766]) ).
tcf(c_60942,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_37756]) ).
tcf(c_60943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_12533]) ).
tcf(c_60944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_12528]) ).
tcf(c_60945,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60829,c_25975]) ).
tcf(c_60946,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_60829]) ).
tcf(c_60947,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X2,X5,tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_6716]) ).
tcf(c_60948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_6683]) ).
tcf(c_60949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_6619]) ).
tcf(c_60950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_38021]) ).
tcf(c_60951,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_37817]) ).
tcf(c_60952,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_46030]) ).
tcf(c_60953,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60829,c_26744]) ).
tcf(c_60954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_24895]) ).
tcf(c_60955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_22513]) ).
tcf(c_60956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_54879]) ).
tcf(c_60957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_37755]) ).
tcf(c_60958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60829,c_26303]) ).
tcf(c_60960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_6683]) ).
tcf(c_60961,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_6619]) ).
tcf(c_60962,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_26438]) ).
tcf(c_60963,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_21375]) ).
tcf(c_60964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_21402]) ).
tcf(c_60965,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_51676]) ).
tcf(c_60966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_37729]) ).
tcf(c_60967,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_37981]) ).
tcf(c_60968,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_59232]) ).
tcf(c_60969,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_54192]) ).
tcf(c_60970,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60829,c_32788]) ).
tcf(c_60971,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_38229]) ).
tcf(c_60972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_24023]) ).
tcf(c_60973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_22655]) ).
tcf(c_60974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_21512]) ).
tcf(c_60975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_38020]) ).
tcf(c_60976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_37816]) ).
tcf(c_60977,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_46090]) ).
tcf(c_60978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X4,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60829,c_26741]) ).
tcf(c_60979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_24866]) ).
tcf(c_60980,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_22486]) ).
tcf(c_60981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(X5,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_26595]) ).
tcf(c_60982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_37737]) ).
tcf(c_60983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_25280]) ).
tcf(c_60984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_22511]) ).
tcf(c_60985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_22444]) ).
tcf(c_60986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_25743]) ).
tcf(c_60987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60829,c_26505]) ).
tcf(c_60988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_28241]) ).
tcf(c_61037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60894,c_964]) ).
tcf(c_61043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_60987,c_10640]) ).
tcf(c_61044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61043,c_964]) ).
tcf(c_61054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_60939,c_10640]) ).
tcf(c_61055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61054,c_964]) ).
tcf(c_61080,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_60880,c_21364]) ).
tcf(c_61087,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_60877,c_21443]) ).
tcf(c_61100,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_60963,c_6432,c_6654]) ).
tcf(c_61113,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_60861,c_6432]) ).
tcf(c_61214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60902,c_964]) ).
tcf(c_61236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_60964,c_22175]) ).
tcf(c_61237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_61236,c_21346]) ).
tcf(c_61250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_60869,c_21346]) ).
tcf(c_61254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_60868,c_21346]) ).
tcf(c_61264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60912,c_1046]) ).
tcf(c_61269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60910,c_1046]) ).
tcf(c_61274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60909,c_1046]) ).
tcf(c_61279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60898,c_1046]) ).
tcf(c_61312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_60867,c_6552]) ).
tcf(c_61319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X5,X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X5,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60940,c_964]) ).
tcf(c_61325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60908,c_1046]) ).
tcf(c_61331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X5,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60907,c_964]) ).
tcf(c_61337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60890,c_1046]) ).
tcf(c_61351,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_60853,c_10735]) ).
tcf(c_61355,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X3,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60900,c_1350,c_1046]) ).
tcf(c_61364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60897,c_1046]) ).
tcf(c_61370,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60889,c_1046]) ).
tcf(c_61382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_60862,c_10640]) ).
tcf(c_61388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_60858,c_10640]) ).
tcf(c_61402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60914,c_1350,c_1046]) ).
tcf(c_61408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X5,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60913,c_1350,c_1046]) ).
tcf(c_61844,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) = X1 )
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_21849,c_23791]) ).
tcf(c_61845,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) = X1 )
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_993,c_23791]) ).
tcf(c_61862,plain,
! [X0: $i,X1: $i] :
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_973,c_23791]) ).
tcf(c_61864,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_978,c_23791]) ).
tcf(c_61866,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) )
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1080,c_23791]) ).
tcf(c_61892,plain,
! [X0: $i,X1: $i] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_23791]) ).
tcf(c_61894,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_998,c_23791]) ).
tcf(c_61897,plain,
! [X0: $i,X1: $i] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_23791]) ).
tcf(c_61898,plain,
! [X0: $i,X1: $i] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_23791]) ).
tcf(c_61899,plain,
! [X0: $i,X1: $i] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_23791]) ).
tcf(c_61957,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6543,c_24965]) ).
tcf(c_61960,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60094,c_24965]) ).
tcf(c_61962,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25368,c_24965]) ).
tcf(c_61963,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_37560,c_24965]) ).
tcf(c_61964,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X1),X1),X2,X1) ),
inference(superposition,[status(thm)],[c_24965,c_1191]) ).
tcf(c_61966,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0),X0),X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_24965,c_1265]) ).
tcf(c_61967,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0),X0),X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_24965,c_31074]) ).
tcf(c_61968,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0),X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_24965,c_1182]) ).
tcf(c_61969,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0),X0),X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_24965,c_1173]) ).
tcf(c_61970,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0),X0),X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_24965,c_1172]) ).
tcf(c_61973,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_24965,c_12550]) ).
tcf(c_61974,plain,
! [X0: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_24965,c_12552]) ).
tcf(c_61976,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24965,c_26412]) ).
tcf(c_61978,plain,
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24965,c_24659]) ).
tcf(c_61980,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24965,c_24488]) ).
tcf(c_61982,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24965,c_24550]) ).
tcf(c_61984,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24965,c_26571]) ).
tcf(c_61985,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24965,c_26409]) ).
tcf(c_61999,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_61985,c_60102,c_60157]) ).
tcf(c_62001,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_61976,c_6543]) ).
tcf(c_62002,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_62001,c_1263,c_964]) ).
tcf(c_62016,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_61960,c_60157]) ).
tcf(c_62017,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_61957,c_1263,c_964]) ).
tcf(c_62063,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X0)) ),
inference(superposition,[status(thm)],[c_1262,c_24966]) ).
tcf(c_62075,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_25011]) ).
tcf(c_62077,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_nat),tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_25011,c_1191]) ).
tcf(c_62078,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_25011,c_1265]) ).
tcf(c_62080,plain,
! [X0: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_25011,c_1182]) ).
tcf(c_62081,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_25011,c_1051]) ).
tcf(c_62084,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,tc_nat),tc_nat),tc_nat),tc_nat),X2,tc_nat) = c_Divides_Odiv__class_Omod(X0,X2,tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_25011,c_12546]) ).
tcf(c_62085,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_25011,c_12548]) ).
tcf(c_62086,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_25011,c_26394]) ).
tcf(c_62087,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_25011,c_26574]) ).
tcf(c_62088,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_25011,c_26415]) ).
tcf(c_62089,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_25011,c_31859]) ).
tcf(c_62104,plain,
! [X0: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62080,c_1131]) ).
tcf(c_62111,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_nat),tc_nat),tc_nat),X2,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62077,c_1131]) ).
tcf(c_62204,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_997,c_23245]) ).
tcf(c_62209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_23245]) ).
tcf(c_62219,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_23245]) ).
tcf(c_62221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_23245]) ).
tcf(c_62224,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_23245]) ).
tcf(c_62225,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_23245]) ).
tcf(c_62226,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_23245]) ).
tcf(c_62227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat),X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_23245,c_21819]) ).
tcf(c_62228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X3,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_23245,c_21631]) ).
tcf(c_62229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_23245,c_1106]) ).
tcf(c_62230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X3,tc_nat),tc_nat),tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_23245,c_25164]) ).
tcf(c_62231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X3,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_23245,c_25065]) ).
tcf(c_62234,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_23245,c_984]) ).
tcf(c_62235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),tc_nat),X2,tc_nat),
inference(superposition,[status(thm)],[c_23245,c_21820]) ).
tcf(c_62236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),tc_nat),X3,tc_nat),
inference(superposition,[status(thm)],[c_23245,c_21610]) ).
tcf(c_62263,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(demodulation,[status(thm)],[c_21720,c_6654,c_46094]) ).
tcf(c_62276,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),X1,tc_nat) = X1 )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_56798,c_25067]) ).
tcf(c_62277,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),X1,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_47618,c_25067]) ).
tcf(c_62278,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_23185,c_25067]) ).
tcf(c_62280,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_21890,c_25067]) ).
tcf(c_62281,plain,
! [X0: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_977,c_25067]) ).
tcf(c_62282,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_47399,c_25067]) ).
tcf(c_62283,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat) = X1 )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_42843,c_25067]) ).
tcf(c_62284,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_23164,c_25067]) ).
tcf(c_62285,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),X1,tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = X1 )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_21849,c_25067]) ).
tcf(c_62286,plain,
! [X0: $i,X1: $i] :
( ~ c_HOL_Oord__class_Oless(X1,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_991,c_25067]) ).
tcf(c_62293,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_978,c_25067]) ).
tcf(c_62295,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) )
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1080,c_25067]) ).
tcf(c_62312,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) = X1 )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_21855,c_25067]) ).
tcf(c_62317,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_23040,c_25067]) ).
tcf(c_62321,plain,
! [X0: $i,X1: $i] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_25067]) ).
tcf(c_62322,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_919,c_25067]) ).
tcf(c_62323,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_918,c_25067]) ).
tcf(c_62325,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_999,c_25067]) ).
tcf(c_62326,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_998,c_25067]) ).
tcf(c_62328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),X3,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),X3,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_911,c_25067]) ).
tcf(c_62331,plain,
! [X0: $i,X1: $i] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_25067]) ).
tcf(c_62332,plain,
! [X0: $i,X1: $i] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_25067]) ).
tcf(c_62333,plain,
! [X0: $i,X1: $i] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_25067]) ).
tcf(c_62341,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X1 )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(light_normalisation,[status(thm)],[c_62276,c_994]) ).
tcf(c_62344,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(light_normalisation,[status(thm)],[c_62284,c_994]) ).
tcf(c_62347,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(light_normalisation,[status(thm)],[c_62278,c_994]) ).
tcf(c_62361,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) = X0 )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(light_normalisation,[status(thm)],[c_62282,c_994]) ).
tcf(c_62364,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X0 )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(light_normalisation,[status(thm)],[c_62277,c_994]) ).
tcf(c_62367,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| ( X0 = X1 )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(light_normalisation,[status(thm)],[c_62285,c_994]) ).
tcf(c_62399,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),X1,tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_25220,c_1191]) ).
tcf(c_62400,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat),X1,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_25220,c_1265]) ).
tcf(c_62402,plain,
! [X0: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_25220,c_1182]) ).
tcf(c_62403,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Oidom(tc_nat) ),
inference(superposition,[status(thm)],[c_25220,c_1052]) ).
tcf(c_62406,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_nat),tc_nat),X2,tc_nat),tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_25220,c_12546]) ).
tcf(c_62407,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),X1,tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_25220,c_12548]) ).
tcf(c_62408,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),X1,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_25220,c_26394]) ).
tcf(c_62409,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_25220,c_26574]) ).
tcf(c_62410,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),X2,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_25220,c_26415]) ).
tcf(c_62411,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),X1,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_25220,c_31859]) ).
tcf(c_62424,plain,
! [X0: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62402,c_1131]) ).
tcf(c_62431,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),X1,tc_nat),X2,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62399,c_1131]) ).
tcf(c_62454,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( c_HOL_Oone__class_Oone(tc_nat) = X1 )
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_21849,c_62312]) ).
tcf(c_62455,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ( c_HOL_Oone__class_Oone(tc_nat) = X1 )
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_993,c_62312]) ).
tcf(c_62456,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_56798,c_62312]) ).
tcf(c_62457,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_47618,c_62312]) ).
tcf(c_62458,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_23185,c_62312]) ).
tcf(c_62462,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_47399,c_62312]) ).
tcf(c_62463,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_42843,c_62312]) ).
tcf(c_62464,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_23164,c_62312]) ).
tcf(c_62466,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = X1 )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1080,c_62312]) ).
tcf(c_62471,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_62464,c_1128]) ).
tcf(c_62472,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oone__class_Oone(tc_nat) = X1 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_62462,c_1128]) ).
tcf(c_62531,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Oone__class_Oone(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_21849,c_62341]) ).
tcf(c_62532,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| ( c_HOL_Oone__class_Oone(tc_nat) = X0 )
| ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_993,c_62341]) ).
tcf(c_62534,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = X1 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_47618,c_62341]) ).
tcf(c_62535,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = X1 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_23185,c_62341]) ).
tcf(c_62539,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_47399,c_62341]) ).
tcf(c_62541,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_23164,c_62341]) ).
tcf(c_62543,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) = X1 )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1080,c_62341]) ).
tcf(c_62548,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_62541,c_1128]) ).
tcf(c_62549,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oone__class_Oone(tc_nat) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_62539,c_1128]) ).
tcf(c_62567,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ( c_HOL_Oone__class_Oone(tc_nat) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_21849,c_62361]) ).
tcf(c_62568,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
| ( c_HOL_Oone__class_Oone(tc_nat) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X1 ) ),
inference(superposition,[status(thm)],[c_993,c_62361]) ).
tcf(c_62570,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_47618,c_62361]) ).
tcf(c_62571,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_23185,c_62361]) ).
tcf(c_62575,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat) ) ),
inference(superposition,[status(thm)],[c_47399,c_62361]) ).
tcf(c_62577,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_23164,c_62361]) ).
tcf(c_62579,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1080,c_62361]) ).
tcf(c_62590,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_62577,c_1128]) ).
tcf(c_62591,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oone__class_Oone(tc_nat) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(light_normalisation,[status(thm)],[c_62575,c_1128]) ).
tcf(c_62605,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ( c_HOL_Oone__class_Oone(tc_nat) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_21849,c_62364]) ).
tcf(c_62606,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
| ( c_HOL_Oone__class_Oone(tc_nat) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = X0 ) ),
inference(superposition,[status(thm)],[c_993,c_62364]) ).
tcf(c_62617,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1080,c_62364]) ).
tcf(c_62639,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(demodulation,[status(thm)],[c_21721,c_6648]) ).
tcf(c_62653,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_26127,c_62639]) ).
tcf(c_62656,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10643,c_62639]) ).
tcf(c_62657,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6607,c_62639]) ).
tcf(c_62658,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21364,c_62639]) ).
tcf(c_62659,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21375,c_62639]) ).
tcf(c_62660,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21402,c_62639]) ).
tcf(c_62662,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22325,c_62639]) ).
tcf(c_62663,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23285,c_62639]) ).
tcf(c_62664,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_62639]) ).
tcf(c_62665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_62639]) ).
tcf(c_62668,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6607,c_62639]) ).
tcf(c_62669,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21364,c_62639]) ).
tcf(c_62670,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21375,c_62639]) ).
tcf(c_62671,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21402,c_62639]) ).
tcf(c_62673,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22325,c_62639]) ).
tcf(c_62674,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23285,c_62639]) ).
tcf(c_62675,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_62639]) ).
tcf(c_62676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_62639]) ).
tcf(c_62677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_62639,c_37737]) ).
tcf(c_62678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_62639,c_27309]) ).
tcf(c_62679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_62639,c_21480]) ).
tcf(c_62680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_62639,c_25280]) ).
tcf(c_62681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_62639,c_22511]) ).
tcf(c_62683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_62639,c_51676]) ).
tcf(c_62684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_62639,c_21433]) ).
tcf(c_62685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_62639,c_37729]) ).
tcf(c_62686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_62639,c_25978]) ).
tcf(c_62687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_62639,c_37766]) ).
tcf(c_62688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_62639,c_54879]) ).
tcf(c_62689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_62639,c_21538]) ).
tcf(c_62690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_62639,c_46027]) ).
tcf(c_62691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_62639,c_37981]) ).
tcf(c_62692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_62639,c_26412]) ).
tcf(c_62693,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_62639,c_21994]) ).
tcf(c_62694,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_62639,c_21989]) ).
tcf(c_62695,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_62639,c_6746]) ).
tcf(c_62696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_62639,c_6731]) ).
tcf(c_62697,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_62639,c_22663]) ).
tcf(c_62698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_62639,c_6701]) ).
tcf(c_62699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_62639,c_6613]) ).
tcf(c_62700,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_62639,c_21441]) ).
tcf(c_62701,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_62639,c_6552]) ).
tcf(c_62702,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_62639,c_6543]) ).
tcf(c_62703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_62639,c_37981]) ).
tcf(c_62704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_62639,c_6701]) ).
tcf(c_62705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_62639,c_6613]) ).
tcf(c_62706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_62639,c_60829]) ).
tcf(c_62707,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_62639,c_21540]) ).
tcf(c_62708,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_62639,c_38230]) ).
tcf(c_62709,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_62639,c_22666]) ).
tcf(c_62710,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_62639,c_21442]) ).
tcf(c_62711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_62639,c_51676]) ).
tcf(c_62712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X4,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_62639,c_28241]) ).
tcf(c_62713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_62639,c_21544]) ).
tcf(c_62714,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_62639,c_54879]) ).
tcf(c_62715,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_62639,c_37766]) ).
tcf(c_62716,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_62639,c_46030]) ).
tcf(c_62717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_62639,c_22444]) ).
tcf(c_62718,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_62639,c_46090]) ).
tcf(c_62719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_62639,c_56918]) ).
tcf(c_62720,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_62639,c_56918]) ).
tcf(c_62754,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_62659,c_6648]) ).
tcf(c_62769,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_62656,c_6631,c_21386]) ).
tcf(c_62795,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_62670,c_6432]) ).
tcf(c_62799,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_62669,c_6654]) ).
tcf(c_62806,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_62658,c_6432,c_21375]) ).
tcf(c_62817,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_62694,c_60102]) ).
tcf(c_62821,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_62693,c_60102]) ).
tcf(c_62858,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_62674,c_21253]) ).
tcf(c_62862,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_62663,c_25380]) ).
tcf(c_62915,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_62706,c_10640]) ).
tcf(c_63081,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6543,c_25243]) ).
tcf(c_63084,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60094,c_25243]) ).
tcf(c_63086,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25368,c_25243]) ).
tcf(c_63088,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X2),X2),X1,X2)
| ~ class_Ring__and__Field_Ocomm__ring__1(X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_25243,c_1191]) ).
tcf(c_63089,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0),X0),X1,X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_25243,c_1267]) ).
tcf(c_63093,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_25243,c_12550]) ).
tcf(c_63094,plain,
! [X0: $i] :
( ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_25243,c_12552]) ).
tcf(c_63097,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25243,c_24550]) ).
tcf(c_63100,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25243,c_25968]) ).
tcf(c_63107,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_63086,c_25368]) ).
tcf(c_63113,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_63081,c_1263,c_964]) ).
tcf(c_63127,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6607,c_25984]) ).
tcf(c_63133,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23285,c_25984]) ).
tcf(c_63134,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38172,c_25984]) ).
tcf(c_63135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60829,c_25984]) ).
tcf(c_63136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25984,c_1191]) ).
tcf(c_63137,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25984,c_1265]) ).
tcf(c_63138,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25984,c_31074]) ).
tcf(c_63139,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25984,c_1182]) ).
tcf(c_63140,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25984,c_1052]) ).
tcf(c_63141,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25984,c_1051]) ).
tcf(c_63142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25984,c_1173]) ).
tcf(c_63143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25984,c_1172]) ).
tcf(c_63144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25984,c_26412]) ).
tcf(c_63145,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25984,c_42079]) ).
tcf(c_63146,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25984,c_24659]) ).
tcf(c_63147,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25984,c_26391]) ).
tcf(c_63148,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25984,c_24488]) ).
tcf(c_63149,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25984,c_24184]) ).
tcf(c_63150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25984,c_26571]) ).
tcf(c_63151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25984,c_26409]) ).
tcf(c_63159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_63151,c_60094]) ).
tcf(c_63162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_63150,c_60094]) ).
tcf(c_63165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_63144,c_6543]) ).
tcf(c_63168,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_63148,c_21461]) ).
tcf(c_63176,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_63137,c_21461]) ).
tcf(c_63181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_63143,c_60094]) ).
tcf(c_63183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_63142,c_60094]) ).
tcf(c_63185,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_63141,c_60094]) ).
tcf(c_63186,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63185,c_1046]) ).
tcf(c_63190,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_63140,c_60094]) ).
tcf(c_63191,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63190,c_1046]) ).
tcf(c_63195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63136,c_964]) ).
tcf(c_63264,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1192,c_25993]) ).
tcf(c_63266,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1266,c_25993]) ).
tcf(c_63267,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1264,c_25993]) ).
tcf(c_63277,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_41879,c_25993]) ).
tcf(c_63278,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_41878,c_25993]) ).
tcf(c_63279,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_34336,c_25993]) ).
tcf(c_63281,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24227,c_25993]) ).
tcf(c_63282,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24400,c_25993]) ).
tcf(c_63283,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26727,c_25993]) ).
tcf(c_63285,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24521,c_25993]) ).
tcf(c_63286,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25243,c_25993]) ).
tcf(c_63287,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34270,c_25993]) ).
tcf(c_63288,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34265,c_25993]) ).
tcf(c_63289,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35635,c_25993]) ).
tcf(c_63290,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34271,c_25993]) ).
tcf(c_63292,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_41892,c_25993]) ).
tcf(c_63293,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_32788,c_25993]) ).
tcf(c_63294,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38229,c_25993]) ).
tcf(c_63295,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_32836,c_25993]) ).
tcf(c_63296,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33538,c_25993]) ).
tcf(c_63297,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38577,c_25993]) ).
tcf(c_63298,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38234,c_25993]) ).
tcf(c_63299,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38230,c_25993]) ).
tcf(c_63334,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_63286,c_1263,c_964]) ).
tcf(c_63419,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6432,c_25276]) ).
tcf(c_63420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10640,c_25276]) ).
tcf(c_63421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6552,c_25276]) ).
tcf(c_63422,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6559,c_25276]) ).
tcf(c_63423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10735,c_25276]) ).
tcf(c_63424,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21346,c_25276]) ).
tcf(c_63425,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_32620,c_25276]) ).
tcf(c_63429,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21402,c_25276]) ).
tcf(c_63432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_25276]) ).
tcf(c_63433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6415,c_25276]) ).
tcf(c_63435,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_25276]) ).
tcf(c_63436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12533,c_25276]) ).
tcf(c_63437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12528,c_25276]) ).
tcf(c_63438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6619,c_25276]) ).
tcf(c_63439,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6631,c_25276]) ).
tcf(c_63440,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12519,c_25276]) ).
tcf(c_63441,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6654,c_25276]) ).
tcf(c_63442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6683,c_25276]) ).
tcf(c_63445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_25276]) ).
tcf(c_63446,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_25276]) ).
tcf(c_63447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21433,c_25276]) ).
tcf(c_63448,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22175,c_25276]) ).
tcf(c_63449,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21435,c_25276]) ).
tcf(c_63450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_25276]) ).
tcf(c_63452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_62639,c_25276]) ).
tcf(c_63453,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_25276]) ).
tcf(c_63457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25276,c_1191]) ).
tcf(c_63459,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25276,c_24488]) ).
tcf(c_63468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_63421,c_6543]) ).
tcf(c_63471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_63433,c_10735]) ).
tcf(c_63472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63457,c_964]) ).
tcf(c_63656,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex) ) ),
inference(demodulation,[status(thm)],[c_21723,c_6631,c_21386,c_51708]) ).
tcf(c_63671,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6648,c_63656]) ).
tcf(c_63673,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10416,c_63656]) ).
tcf(c_63674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_46027,c_63656]) ).
tcf(c_63675,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_58331,c_63656]) ).
tcf(c_63676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_56918,c_63656]) ).
tcf(c_63677,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_58331,c_63656]) ).
tcf(c_63678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_56918,c_63656]) ).
tcf(c_63681,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6607,c_63656]) ).
tcf(c_63683,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21375,c_63656]) ).
tcf(c_63684,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21402,c_63656]) ).
tcf(c_63687,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23285,c_63656]) ).
tcf(c_63688,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_63656]) ).
tcf(c_63690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_63656]) ).
tcf(c_63693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_1052]) ).
tcf(c_63694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_1051]) ).
tcf(c_63695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_1173]) ).
tcf(c_63696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_1172]) ).
tcf(c_63698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_26336]) ).
tcf(c_63699,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_1168]) ).
tcf(c_63701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_1052]) ).
tcf(c_63702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_1049]) ).
tcf(c_63703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_1170]) ).
tcf(c_63704,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X2,X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_1047]) ).
tcf(c_63705,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X2 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X2,X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_1047]) ).
tcf(c_63706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X2,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X3 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_1364]) ).
tcf(c_63707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_26335]) ).
tcf(c_63708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_26505]) ).
tcf(c_63710,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_1053]) ).
tcf(c_63711,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_49831]) ).
tcf(c_63712,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_1053]) ).
tcf(c_63713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_1176]) ).
tcf(c_63714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_1051]) ).
tcf(c_63715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_1050]) ).
tcf(c_63716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_1050]) ).
tcf(c_63717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_1171]) ).
tcf(c_63718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_1049]) ).
tcf(c_63719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X4 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_1355]) ).
tcf(c_63720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_1355]) ).
tcf(c_63721,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_60094]) ).
tcf(c_63722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_59232]) ).
tcf(c_63725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_38021]) ).
tcf(c_63726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_38020]) ).
tcf(c_63727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_37756]) ).
tcf(c_63728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_37755]) ).
tcf(c_63729,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_54192]) ).
tcf(c_63730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_37737]) ).
tcf(c_63731,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_33538]) ).
tcf(c_63732,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_38577]) ).
tcf(c_63733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_37729]) ).
tcf(c_63734,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_10640]) ).
tcf(c_63735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_26571]) ).
tcf(c_63736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_26409]) ).
tcf(c_63737,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_24284]) ).
tcf(c_63738,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_24064]) ).
tcf(c_63739,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_24002]) ).
tcf(c_63740,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_22643]) ).
tcf(c_63743,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_22227]) ).
tcf(c_63744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_6683]) ).
tcf(c_63745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_6619]) ).
tcf(c_63746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_26336]) ).
tcf(c_63747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_1176]) ).
tcf(c_63748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_62639]) ).
tcf(c_63749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_37766]) ).
tcf(c_63750,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_37756]) ).
tcf(c_63751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_12533]) ).
tcf(c_63752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_12528]) ).
tcf(c_63753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_25975]) ).
tcf(c_63754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_60829]) ).
tcf(c_63755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_6716]) ).
tcf(c_63756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_6683]) ).
tcf(c_63757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_6619]) ).
tcf(c_63758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_38021]) ).
tcf(c_63759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X2,X3,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_37817]) ).
tcf(c_63760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_46030]) ).
tcf(c_63761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_26744]) ).
tcf(c_63762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_24895]) ).
tcf(c_63763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_22513]) ).
tcf(c_63764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_63656]) ).
tcf(c_63765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_25984]) ).
tcf(c_63766,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_54879]) ).
tcf(c_63767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_37755]) ).
tcf(c_63768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_26303]) ).
tcf(c_63770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_6683]) ).
tcf(c_63771,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_6619]) ).
tcf(c_63772,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_26438]) ).
tcf(c_63773,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_21375]) ).
tcf(c_63774,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_21402]) ).
tcf(c_63775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_51676]) ).
tcf(c_63776,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_37729]) ).
tcf(c_63777,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_37981]) ).
tcf(c_63778,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_59232]) ).
tcf(c_63779,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_54192]) ).
tcf(c_63780,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_32788]) ).
tcf(c_63781,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_38229]) ).
tcf(c_63782,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_24023]) ).
tcf(c_63783,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_22655]) ).
tcf(c_63784,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_22325]) ).
tcf(c_63785,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_21512]) ).
tcf(c_63786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_62639]) ).
tcf(c_63787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_38020]) ).
tcf(c_63788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_37816]) ).
tcf(c_63789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_46090]) ).
tcf(c_63790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_26741]) ).
tcf(c_63791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_24866]) ).
tcf(c_63792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_22486]) ).
tcf(c_63793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_26595]) ).
tcf(c_63794,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_37737]) ).
tcf(c_63795,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_25280]) ).
tcf(c_63796,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_22511]) ).
tcf(c_63797,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_25276]) ).
tcf(c_63798,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_22444]) ).
tcf(c_63799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X3,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_25743]) ).
tcf(c_63800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_26505]) ).
tcf(c_63801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_63656,c_28241]) ).
tcf(c_63817,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63711,c_964]) ).
tcf(c_63835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63800,c_964]) ).
tcf(c_63852,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63746,c_964]) ).
tcf(c_63856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63698,c_964]) ).
tcf(c_63870,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63712,c_1046]) ).
tcf(c_63874,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63710,c_1046]) ).
tcf(c_63879,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_63683,c_6654]) ).
tcf(c_63986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63708,c_964]) ).
tcf(c_64014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63718,c_1046]) ).
tcf(c_64019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63716,c_1046]) ).
tcf(c_64024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63715,c_1046]) ).
tcf(c_64029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63702,c_1046]) ).
tcf(c_64050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63747,c_964]) ).
tcf(c_64056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63714,c_1046]) ).
tcf(c_64062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63713,c_964]) ).
tcf(c_64068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63694,c_1046]) ).
tcf(c_64080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63701,c_1046]) ).
tcf(c_64086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63693,c_1046]) ).
tcf(c_64097,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X2,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63706,c_1350,c_1046]) ).
tcf(c_64111,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X2,X2,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63705,c_1046]) ).
tcf(c_64117,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X2,X2,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63704,c_1046]) ).
tcf(c_64129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63720,c_1350,c_1046]) ).
tcf(c_64135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63719,c_1350,c_1046]) ).
tcf(c_64612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6415,c_25996]) ).
tcf(c_64615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_12533,c_25996]) ).
tcf(c_64616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_12528,c_25996]) ).
tcf(c_64617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6619,c_25996]) ).
tcf(c_64619,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_12519,c_25996]) ).
tcf(c_64620,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6654,c_25996]) ).
tcf(c_64621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6683,c_25996]) ).
tcf(c_64622,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_10416,c_25996]) ).
tcf(c_64624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21250,c_25996]) ).
tcf(c_64625,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21253,c_25996]) ).
tcf(c_64626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21433,c_25996]) ).
tcf(c_64627,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22175,c_25996]) ).
tcf(c_64628,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21435,c_25996]) ).
tcf(c_64629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_46027,c_25996]) ).
tcf(c_64630,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_58331,c_25996]) ).
tcf(c_64631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_62639,c_25996]) ).
tcf(c_64632,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22183,c_25996]) ).
tcf(c_64633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_56918,c_25996]) ).
tcf(c_64634,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_58331,c_25996]) ).
tcf(c_64635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_56918,c_25996]) ).
tcf(c_64636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25996,c_1191]) ).
tcf(c_64637,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25996,c_1265]) ).
tcf(c_64638,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25996,c_31074]) ).
tcf(c_64639,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25996,c_1182]) ).
tcf(c_64640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25996,c_1173]) ).
tcf(c_64641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25996,c_1172]) ).
tcf(c_64642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25996,c_26412]) ).
tcf(c_64643,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25996,c_42079]) ).
tcf(c_64644,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25996,c_24659]) ).
tcf(c_64646,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25996,c_24488]) ).
tcf(c_64648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25996,c_26571]) ).
tcf(c_64649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25996,c_26409]) ).
tcf(c_64695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64636,c_964]) ).
tcf(c_64752,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38172,c_26309]) ).
tcf(c_64753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_26309]) ).
tcf(c_64754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60829,c_26309]) ).
tcf(c_64755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26309,c_1191]) ).
tcf(c_64756,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26309,c_1265]) ).
tcf(c_64757,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26309,c_31074]) ).
tcf(c_64758,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26309,c_1182]) ).
tcf(c_64759,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26309,c_1052]) ).
tcf(c_64760,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26309,c_1051]) ).
tcf(c_64761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26309,c_1173]) ).
tcf(c_64762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26309,c_1172]) ).
tcf(c_64763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26309,c_26412]) ).
tcf(c_64764,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26309,c_42079]) ).
tcf(c_64765,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26309,c_24659]) ).
tcf(c_64766,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26309,c_26391]) ).
tcf(c_64767,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26309,c_24488]) ).
tcf(c_64768,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26309,c_24184]) ).
tcf(c_64769,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26309,c_26571]) ).
tcf(c_64770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26309,c_26409]) ).
tcf(c_64777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_64770,c_60094]) ).
tcf(c_64780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_64769,c_60094]) ).
tcf(c_64783,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_64763,c_6543]) ).
tcf(c_64786,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_64767,c_21461]) ).
tcf(c_64794,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_64756,c_21461]) ).
tcf(c_64796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_64762,c_60094]) ).
tcf(c_64798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_64761,c_60094]) ).
tcf(c_64800,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_64760,c_60094]) ).
tcf(c_64801,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64800,c_1046]) ).
tcf(c_64805,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_64759,c_60094]) ).
tcf(c_64806,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64805,c_1046]) ).
tcf(c_64810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64755,c_964]) ).
tcf(c_64947,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_25431]) ).
tcf(c_64950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_25431]) ).
tcf(c_64952,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_997,c_25431]) ).
tcf(c_64957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_25431]) ).
tcf(c_64966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_25431,c_1106]) ).
tcf(c_64972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_25431,c_21820]) ).
tcf(c_64973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_25431,c_21610]) ).
tcf(c_64974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_25431,c_21592]) ).
tcf(c_64975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_25431,c_987]) ).
tcf(c_65004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X3,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_25432]) ).
tcf(c_65007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X3,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_25432]) ).
tcf(c_65009,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_997,c_25432]) ).
tcf(c_65017,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_25432]) ).
tcf(c_65023,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_25432]) ).
tcf(c_65027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat),X3,tc_nat) ),
inference(superposition,[status(thm)],[c_25432,c_1106]) ).
tcf(c_65033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X3,tc_nat),tc_nat),tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_25432,c_21820]) ).
tcf(c_65034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X3,tc_nat),tc_nat),tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_25432,c_21610]) ).
tcf(c_65035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X3,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_25432,c_21592]) ).
tcf(c_65036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X3,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_25432,c_987]) ).
tcf(c_65067,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6701,c_25737]) ).
tcf(c_65069,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22588,c_25737]) ).
tcf(c_65070,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27447,c_25737]) ).
tcf(c_65071,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25685,c_25737]) ).
tcf(c_65072,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22903,c_25737]) ).
tcf(c_65073,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21469,c_25737]) ).
tcf(c_65074,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22768,c_25737]) ).
tcf(c_65075,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25686,c_25737]) ).
tcf(c_65076,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25699,c_25737]) ).
tcf(c_65077,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25703,c_25737]) ).
tcf(c_65078,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6701,c_25737]) ).
tcf(c_65080,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22588,c_25737]) ).
tcf(c_65081,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27447,c_25737]) ).
tcf(c_65082,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25685,c_25737]) ).
tcf(c_65083,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22903,c_25737]) ).
tcf(c_65084,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21469,c_25737]) ).
tcf(c_65085,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22768,c_25737]) ).
tcf(c_65086,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25686,c_25737]) ).
tcf(c_65087,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25699,c_25737]) ).
tcf(c_65088,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25703,c_25737]) ).
tcf(c_65089,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25737,c_1191]) ).
tcf(c_65103,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_65082,c_27243]) ).
tcf(c_65104,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_65081,c_27243]) ).
tcf(c_65105,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_65077,c_32620]) ).
tcf(c_65107,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_65075,c_32620]) ).
tcf(c_65108,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_65070,c_27243]) ).
tcf(c_65109,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65089,c_964]) ).
tcf(c_65112,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_65078,c_6701]) ).
tcf(c_65217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1268,c_26442]) ).
tcf(c_65218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1185,c_26442]) ).
tcf(c_65219,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1266,c_26442]) ).
tcf(c_65220,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1181,c_26442]) ).
tcf(c_65221,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_26442]) ).
tcf(c_65222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1171,c_26442]) ).
tcf(c_65223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1170,c_26442]) ).
tcf(c_65236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22511,c_26442]) ).
tcf(c_65237,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22640,c_26442]) ).
tcf(c_65238,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35626,c_26442]) ).
tcf(c_65239,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35518,c_26442]) ).
tcf(c_65240,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34272,c_26442]) ).
tcf(c_65241,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34105,c_26442]) ).
tcf(c_65242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24213,c_26442]) ).
tcf(c_65243,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24400,c_26442]) ).
tcf(c_65244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25978,c_26442]) ).
tcf(c_65245,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26727,c_26442]) ).
tcf(c_65246,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24546,c_26442]) ).
tcf(c_65247,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24965,c_26442]) ).
tcf(c_65248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26309,c_26442]) ).
tcf(c_65249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25975,c_26442]) ).
tcf(c_65250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25996,c_26442]) ).
tcf(c_65251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25984,c_26442]) ).
tcf(c_65252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26303,c_26442]) ).
tcf(c_65253,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_49830,c_26442]) ).
tcf(c_65256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26438,c_26442]) ).
tcf(c_65257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34270,c_26442]) ).
tcf(c_65258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34265,c_26442]) ).
tcf(c_65259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35635,c_26442]) ).
tcf(c_65260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34271,c_26442]) ).
tcf(c_65261,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_49831,c_26442]) ).
tcf(c_65263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26505,c_26442]) ).
tcf(c_65264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26595,c_26442]) ).
tcf(c_65265,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26744,c_26442]) ).
tcf(c_65266,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26741,c_26442]) ).
tcf(c_65267,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27309,c_26442]) ).
tcf(c_65268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_28241,c_26442]) ).
tcf(c_65273,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_49851,c_26442]) ).
tcf(c_65275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6415,c_26442]) ).
tcf(c_65276,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6492,c_26442]) ).
tcf(c_65278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_12533,c_26442]) ).
tcf(c_65279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_12528,c_26442]) ).
tcf(c_65280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6619,c_26442]) ).
tcf(c_65281,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6631,c_26442]) ).
tcf(c_65282,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_12519,c_26442]) ).
tcf(c_65283,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6654,c_26442]) ).
tcf(c_65284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6683,c_26442]) ).
tcf(c_65287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21250,c_26442]) ).
tcf(c_65288,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21253,c_26442]) ).
tcf(c_65289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21433,c_26442]) ).
tcf(c_65290,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22175,c_26442]) ).
tcf(c_65291,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21435,c_26442]) ).
tcf(c_65293,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_58331,c_26442]) ).
tcf(c_65294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_62639,c_26442]) ).
tcf(c_65295,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22183,c_26442]) ).
tcf(c_65296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_56918,c_26442]) ).
tcf(c_65297,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_58331,c_26442]) ).
tcf(c_65298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_56918,c_26442]) ).
tcf(c_65309,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_65273,c_21455]) ).
tcf(c_65325,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_65240,c_6543]) ).
tcf(c_65328,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_65239,c_6552]) ).
tcf(c_65334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_65259,c_22173]) ).
tcf(c_65335,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_65334,c_34460]) ).
tcf(c_65338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_65258,c_60525]) ).
tcf(c_65353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_65263,c_964]) ).
tcf(c_65354,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_65238,c_6552]) ).
tcf(c_65355,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_65354,c_6543]) ).
tcf(c_65358,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_65251,c_6543]) ).
tcf(c_65363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_65248,c_6543]) ).
tcf(c_65366,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_65247,c_1263,c_964]) ).
tcf(c_65378,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65221,c_964]) ).
tcf(c_65389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65218,c_964]) ).
tcf(c_65393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65217,c_1263]) ).
tcf(c_65613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(demodulation,[status(thm)],[c_21724,c_22175,c_34526,c_46060]) ).
tcf(c_65627,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6654,c_65613]) ).
tcf(c_65628,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21253,c_65613]) ).
tcf(c_65629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21433,c_65613]) ).
tcf(c_65630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22175,c_65613]) ).
tcf(c_65631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21435,c_65613]) ).
tcf(c_65632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_56918,c_65613]) ).
tcf(c_65635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_51676,c_65613]) ).
tcf(c_65637,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10643,c_65613]) ).
tcf(c_65638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6607,c_65613]) ).
tcf(c_65639,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21364,c_65613]) ).
tcf(c_65640,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21375,c_65613]) ).
tcf(c_65641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21402,c_65613]) ).
tcf(c_65643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22325,c_65613]) ).
tcf(c_65644,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23285,c_65613]) ).
tcf(c_65645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_65613]) ).
tcf(c_65646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X2,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X2,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X2,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_65613]) ).
tcf(c_65647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_65613]) ).
tcf(c_65649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X4,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6415,c_65613]) ).
tcf(c_65651,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6648,c_65613]) ).
tcf(c_65652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_65613]) ).
tcf(c_65653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_65613]) ).
tcf(c_65654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6619,c_65613]) ).
tcf(c_65655,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6631,c_65613]) ).
tcf(c_65656,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_65613]) ).
tcf(c_65657,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6654,c_65613]) ).
tcf(c_65658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6683,c_65613]) ).
tcf(c_65659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10416,c_65613]) ).
tcf(c_65661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X4,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21250,c_65613]) ).
tcf(c_65662,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21253,c_65613]) ).
tcf(c_65663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21433,c_65613]) ).
tcf(c_65664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22175,c_65613]) ).
tcf(c_65665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21435,c_65613]) ).
tcf(c_65666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_46027,c_65613]) ).
tcf(c_65667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_58331,c_65613]) ).
tcf(c_65668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_62639,c_65613]) ).
tcf(c_65669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22183,c_65613]) ).
tcf(c_65670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_56918,c_65613]) ).
tcf(c_65671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_58331,c_65613]) ).
tcf(c_65672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_56918,c_65613]) ).
tcf(c_65675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_65613,c_1052]) ).
tcf(c_65676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_65613,c_1051]) ).
tcf(c_65677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_65613,c_1173]) ).
tcf(c_65678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_65613,c_1172]) ).
tcf(c_65680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_65613,c_26336]) ).
tcf(c_65683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_65613,c_1052]) ).
tcf(c_65684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X4,X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_65613,c_1049]) ).
tcf(c_65685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_65613,c_1170]) ).
tcf(c_65686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = X5 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_1364]) ).
tcf(c_65688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_65613,c_26505]) ).
tcf(c_65693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X5,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_65613,c_1176]) ).
tcf(c_65694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_65613,c_1051]) ).
tcf(c_65695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_65613,c_1050]) ).
tcf(c_65696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_65613,c_1050]) ).
tcf(c_65697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_65613,c_1171]) ).
tcf(c_65698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_65613,c_1049]) ).
tcf(c_65699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = X5 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X5,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_1355]) ).
tcf(c_65700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = X1 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_1355]) ).
tcf(c_65701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_60094]) ).
tcf(c_65702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_59232]) ).
tcf(c_65703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_56918]) ).
tcf(c_65705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_38021]) ).
tcf(c_65706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_38020]) ).
tcf(c_65707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_37756]) ).
tcf(c_65708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_37755]) ).
tcf(c_65709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_54192]) ).
tcf(c_65710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_37737]) ).
tcf(c_65711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_65613,c_33538]) ).
tcf(c_65712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_38577]) ).
tcf(c_65713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_37729]) ).
tcf(c_65714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_10640]) ).
tcf(c_65715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_65613,c_26571]) ).
tcf(c_65716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_65613,c_26409]) ).
tcf(c_65717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_24284]) ).
tcf(c_65718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_24064]) ).
tcf(c_65719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_24002]) ).
tcf(c_65720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_22643]) ).
tcf(c_65722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_22227]) ).
tcf(c_65723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_6683]) ).
tcf(c_65724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_6619]) ).
tcf(c_65725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_65613,c_26336]) ).
tcf(c_65726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X5,X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X5,X4,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_65613,c_1176]) ).
tcf(c_65727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_65613]) ).
tcf(c_65728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_65613,c_26309]) ).
tcf(c_65729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_62639]) ).
tcf(c_65730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_37766]) ).
tcf(c_65731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_37756]) ).
tcf(c_65732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_12533]) ).
tcf(c_65733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_12528]) ).
tcf(c_65734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_65613,c_25975]) ).
tcf(c_65735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_60829]) ).
tcf(c_65736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X5,tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_6716]) ).
tcf(c_65737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_6683]) ).
tcf(c_65738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_6619]) ).
tcf(c_65739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_38021]) ).
tcf(c_65740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_37817]) ).
tcf(c_65741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_46030]) ).
tcf(c_65742,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_65613,c_26744]) ).
tcf(c_65743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_24895]) ).
tcf(c_65744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_22513]) ).
tcf(c_65745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_63656]) ).
tcf(c_65746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_65613,c_25984]) ).
tcf(c_65747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_54879]) ).
tcf(c_65748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_37755]) ).
tcf(c_65749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_65613,c_26303]) ).
tcf(c_65751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_6683]) ).
tcf(c_65752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_6619]) ).
tcf(c_65753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_26438]) ).
tcf(c_65754,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_21375]) ).
tcf(c_65755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_21402]) ).
tcf(c_65756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_51676]) ).
tcf(c_65757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_37729]) ).
tcf(c_65758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_37981]) ).
tcf(c_65759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_59232]) ).
tcf(c_65760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_54192]) ).
tcf(c_65761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_65613,c_32788]) ).
tcf(c_65762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_38229]) ).
tcf(c_65763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_24023]) ).
tcf(c_65764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_22655]) ).
tcf(c_65765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_21512]) ).
tcf(c_65766,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_62639]) ).
tcf(c_65767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_38020]) ).
tcf(c_65768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_37816]) ).
tcf(c_65769,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_46090]) ).
tcf(c_65770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_65613,c_26741]) ).
tcf(c_65771,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_24866]) ).
tcf(c_65772,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_22486]) ).
tcf(c_65773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(X5,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_26595]) ).
tcf(c_65774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_37737]) ).
tcf(c_65775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_25280]) ).
tcf(c_65776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_22511]) ).
tcf(c_65777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_25276]) ).
tcf(c_65778,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_22444]) ).
tcf(c_65779,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_25743]) ).
tcf(c_65780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_65613,c_26505]) ).
tcf(c_65781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_28241]) ).
tcf(c_65833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65680,c_964]) ).
tcf(c_65843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_65780,c_10640]) ).
tcf(c_65844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65843,c_964]) ).
tcf(c_65854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_65725,c_10640]) ).
tcf(c_65855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65854,c_964]) ).
tcf(c_65874,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_65640,c_21364]) ).
tcf(c_65884,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_65637,c_21443]) ).
tcf(c_65894,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_65754,c_6432,c_21375]) ).
tcf(c_65901,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_65657,c_6432,c_21375]) ).
tcf(c_66008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65688,c_964]) ).
tcf(c_66043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_65665,c_21346,c_21402]) ).
tcf(c_66047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_65664,c_21346,c_21402]) ).
tcf(c_66060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65698,c_1046]) ).
tcf(c_66065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65696,c_1046]) ).
tcf(c_66070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65695,c_1046]) ).
tcf(c_66075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X4,X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65684,c_1046]) ).
tcf(c_66111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_65663,c_6552,c_34460]) ).
tcf(c_66118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X5,X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X5,X4,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65726,c_964]) ).
tcf(c_66124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65694,c_1046]) ).
tcf(c_66130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X5,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65693,c_964]) ).
tcf(c_66136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65676,c_1046]) ).
tcf(c_66150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X4,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_65649,c_10735]) ).
tcf(c_66154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65686,c_1350,c_1046]) ).
tcf(c_66163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65683,c_1046]) ).
tcf(c_66169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65675,c_1046]) ).
tcf(c_66185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_65668,c_10640,c_38490]) ).
tcf(c_66197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_65658,c_10640,c_38490]) ).
tcf(c_66203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_65654,c_10640,c_38490]) ).
tcf(c_66217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65700,c_1350,c_1046]) ).
tcf(c_66223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X5,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65699,c_1350,c_1046]) ).
tcf(c_66711,plain,
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_902,c_26445]) ).
tcf(c_66715,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_26445]) ).
tcf(c_66716,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_1129,c_26445]) ).
tcf(c_66718,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_26445]) ).
tcf(c_66719,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_26445]) ).
tcf(c_66720,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_26445,c_1191]) ).
tcf(c_66722,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26445,c_1265]) ).
tcf(c_66724,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26445,c_1182]) ).
tcf(c_66726,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26445,c_1172]) ).
tcf(c_66727,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26445,c_12546]) ).
tcf(c_66728,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26445,c_12548]) ).
tcf(c_66729,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26445,c_26394]) ).
tcf(c_66730,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26445,c_26574]) ).
tcf(c_66731,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X2,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26445,c_26415]) ).
tcf(c_66732,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26445,c_31859]) ).
tcf(c_66743,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(light_normalisation,[status(thm)],[c_66730,c_27577]) ).
tcf(c_66752,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(light_normalisation,[status(thm)],[c_66726,c_27577]) ).
tcf(c_66758,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),X2,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66720,c_1131]) ).
tcf(c_66925,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1054,c_26448]) ).
tcf(c_66926,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1053,c_26448]) ).
tcf(c_66928,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1268,c_26448]) ).
tcf(c_66929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1185,c_26448]) ).
tcf(c_66930,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1266,c_26448]) ).
tcf(c_66932,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1050,c_26448]) ).
tcf(c_66933,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1049,c_26448]) ).
tcf(c_66934,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_26448]) ).
tcf(c_66935,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1171,c_26448]) ).
tcf(c_66936,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1170,c_26448]) ).
tcf(c_66937,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1169,c_26448]) ).
tcf(c_66938,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1168,c_26448]) ).
tcf(c_66939,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1176,c_26448]) ).
tcf(c_66942,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21441,c_26448]) ).
tcf(c_66944,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21972,c_26448]) ).
tcf(c_66945,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22227,c_26448]) ).
tcf(c_66946,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22486,c_26448]) ).
tcf(c_66947,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22513,c_26448]) ).
tcf(c_66948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22511,c_26448]) ).
tcf(c_66949,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22640,c_26448]) ).
tcf(c_66953,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35626,c_26448]) ).
tcf(c_66954,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35518,c_26448]) ).
tcf(c_66955,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34272,c_26448]) ).
tcf(c_66957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24213,c_26448]) ).
tcf(c_66960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25978,c_26448]) ).
tcf(c_66962,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24546,c_26448]) ).
tcf(c_66963,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24965,c_26448]) ).
tcf(c_66964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26309,c_26448]) ).
tcf(c_66965,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25975,c_26448]) ).
tcf(c_66966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25996,c_26448]) ).
tcf(c_66967,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25984,c_26448]) ).
tcf(c_66968,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26303,c_26448]) ).
tcf(c_66971,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26336,c_26448]) ).
tcf(c_66972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26438,c_26448]) ).
tcf(c_66973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34270,c_26448]) ).
tcf(c_66974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34265,c_26448]) ).
tcf(c_66975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35635,c_26448]) ).
tcf(c_66976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34271,c_26448]) ).
tcf(c_66979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26505,c_26448]) ).
tcf(c_66980,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26595,c_26448]) ).
tcf(c_66984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_28241,c_26448]) ).
tcf(c_66985,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_32788,c_26448]) ).
tcf(c_66986,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38229,c_26448]) ).
tcf(c_66989,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_37729,c_26448]) ).
tcf(c_66991,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_37755,c_26448]) ).
tcf(c_67002,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21375,c_26448]) ).
tcf(c_67007,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38172,c_26448]) ).
tcf(c_67008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_26448]) ).
tcf(c_67009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ouminus__class_Ouminus(X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60829,c_26448]) ).
tcf(c_67010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_65613,c_26448]) ).
tcf(c_67016,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_66938,c_38490]) ).
tcf(c_67025,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_66954,c_10640]) ).
tcf(c_67032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_66974,c_34526]) ).
tcf(c_67035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_66973,c_38490]) ).
tcf(c_67044,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66933,c_1046]) ).
tcf(c_67048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_66979,c_964]) ).
tcf(c_67049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_66971,c_38490]) ).
tcf(c_67050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_67049,c_964]) ).
tcf(c_67051,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_66953,c_10640]) ).
tcf(c_67054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_66967,c_60094]) ).
tcf(c_67059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_66964,c_60094]) ).
tcf(c_67062,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_66963,c_60094,c_60157]) ).
tcf(c_67066,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66934,c_964]) ).
tcf(c_67069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66939,c_964]) ).
tcf(c_67077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66929,c_964]) ).
tcf(c_67081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66928,c_1263]) ).
tcf(c_67153,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_66989,c_6543,c_33421,c_47910,c_47896]) ).
tcf(c_67154,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_66991,c_60094]) ).
tcf(c_67167,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_1104,c_26596]) ).
tcf(c_67168,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_1105,c_26596]) ).
tcf(c_67169,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_26596,c_1191]) ).
tcf(c_67171,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26596,c_1265]) ).
tcf(c_67173,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26596,c_1182]) ).
tcf(c_67176,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),tc_nat),X2,tc_nat) = c_Divides_Odiv__class_Omod(X0,X2,tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26596,c_12546]) ).
tcf(c_67177,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26596,c_12548]) ).
tcf(c_67178,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26596,c_26394]) ).
tcf(c_67180,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26596,c_26415]) ).
tcf(c_67181,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26596,c_31859]) ).
tcf(c_67198,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),X2,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67169,c_1131]) ).
tcf(c_67211,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1054,c_26599]) ).
tcf(c_67212,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1053,c_26599]) ).
tcf(c_67214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1268,c_26599]) ).
tcf(c_67215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1185,c_26599]) ).
tcf(c_67216,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1266,c_26599]) ).
tcf(c_67218,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1050,c_26599]) ).
tcf(c_67219,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1049,c_26599]) ).
tcf(c_67220,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_26599]) ).
tcf(c_67221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1171,c_26599]) ).
tcf(c_67222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1170,c_26599]) ).
tcf(c_67223,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1169,c_26599]) ).
tcf(c_67225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1176,c_26599]) ).
tcf(c_67228,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21441,c_26599]) ).
tcf(c_67230,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21972,c_26599]) ).
tcf(c_67231,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22227,c_26599]) ).
tcf(c_67232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22486,c_26599]) ).
tcf(c_67233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22513,c_26599]) ).
tcf(c_67234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22511,c_26599]) ).
tcf(c_67235,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22640,c_26599]) ).
tcf(c_67239,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35626,c_26599]) ).
tcf(c_67240,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35518,c_26599]) ).
tcf(c_67241,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34272,c_26599]) ).
tcf(c_67243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24213,c_26599]) ).
tcf(c_67246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25978,c_26599]) ).
tcf(c_67248,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24546,c_26599]) ).
tcf(c_67249,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24965,c_26599]) ).
tcf(c_67250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26309,c_26599]) ).
tcf(c_67251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25975,c_26599]) ).
tcf(c_67252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25996,c_26599]) ).
tcf(c_67253,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25984,c_26599]) ).
tcf(c_67254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26303,c_26599]) ).
tcf(c_67257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26336,c_26599]) ).
tcf(c_67258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26438,c_26599]) ).
tcf(c_67259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34270,c_26599]) ).
tcf(c_67260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34265,c_26599]) ).
tcf(c_67261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35635,c_26599]) ).
tcf(c_67262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34271,c_26599]) ).
tcf(c_67265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26505,c_26599]) ).
tcf(c_67266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26595,c_26599]) ).
tcf(c_67270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_28241,c_26599]) ).
tcf(c_67292,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23285,c_26599]) ).
tcf(c_67293,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38172,c_26599]) ).
tcf(c_67294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_26599]) ).
tcf(c_67295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60829,c_26599]) ).
tcf(c_67296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_65613,c_26599]) ).
tcf(c_67304,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_67240,c_10640]) ).
tcf(c_67311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_67260,c_34526]) ).
tcf(c_67322,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67218,c_1046]) ).
tcf(c_67325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_67265,c_964]) ).
tcf(c_67326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_67257,c_964]) ).
tcf(c_67327,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_67239,c_10640]) ).
tcf(c_67333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_67253,c_60094]) ).
tcf(c_67338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_67250,c_60094]) ).
tcf(c_67345,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67220,c_964]) ).
tcf(c_67348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67225,c_964]) ).
tcf(c_67352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67215,c_964]) ).
tcf(c_67356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67214,c_1263]) ).
tcf(c_67424,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_915,c_26821]) ).
tcf(c_67428,plain,
! [X0: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_902,c_26821]) ).
tcf(c_67429,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_903,c_26821]) ).
tcf(c_67432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_920,c_26821]) ).
tcf(c_67433,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_1129,c_26821]) ).
tcf(c_67435,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_1104,c_26821]) ).
tcf(c_67447,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_915,c_26850]) ).
tcf(c_67459,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_1105,c_26850]) ).
tcf(c_67463,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(light_normalisation,[status(thm)],[c_67447,c_27577]) ).
tcf(c_67515,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_27064]) ).
tcf(c_67516,plain,
! [X0: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21455,c_27064]) ).
tcf(c_67517,plain,
! [X0: $i,X1: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21461,c_27064]) ).
tcf(c_67518,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_60094,c_27064]) ).
tcf(c_67519,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25368,c_27064]) ).
tcf(c_67520,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = X0 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_27064,c_1357]) ).
tcf(c_67521,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = X0 )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_27064,c_1282]) ).
tcf(c_67522,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_27064,c_1020]) ).
tcf(c_67523,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27064,c_1268]) ).
tcf(c_67524,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_27064,c_1023]) ).
tcf(c_67525,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = X0 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(X2,X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_27064,c_1023]) ).
tcf(c_67526,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27064,c_25737]) ).
tcf(c_67527,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_27064,c_56568]) ).
tcf(c_67528,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_27064,c_32282]) ).
tcf(c_67529,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27064,c_25743]) ).
tcf(c_67530,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27064,c_25742]) ).
tcf(c_67531,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27064,c_25739]) ).
tcf(c_67532,plain,
! [X0: $i,X1: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27064,c_25703]) ).
tcf(c_67533,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27064,c_25744]) ).
tcf(c_67534,plain,
! [X0: $i,X1: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27064,c_25368]) ).
tcf(c_67535,plain,
! [X0: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27064,c_21355]) ).
tcf(c_67536,plain,
! [X0: $i,X1: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27064,c_27447]) ).
tcf(c_67537,plain,
! [X0: $i,X1: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27064,c_25685]) ).
tcf(c_67539,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27064,c_25737]) ).
tcf(c_67540,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27064,c_25743]) ).
tcf(c_67541,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27064,c_25742]) ).
tcf(c_67542,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27064,c_25739]) ).
tcf(c_67543,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27064,c_25744]) ).
tcf(c_67545,plain,
! [X0: $i,X1: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27064,c_25686]) ).
tcf(c_67546,plain,
! [X0: $i,X1: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27064,c_25699]) ).
tcf(c_67551,plain,
! [X0: $i,X1: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_67546,c_25380]) ).
tcf(c_67556,plain,
! [X0: $i,X1: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_67534,c_27447]) ).
tcf(c_67557,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_67542,c_27447]) ).
tcf(c_67558,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_67541,c_27447]) ).
tcf(c_67559,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_67540,c_27447]) ).
tcf(c_67567,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_67539,c_27447]) ).
tcf(c_67571,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(X2,X2,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67525,c_1011]) ).
tcf(c_67574,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67524,c_1011]) ).
tcf(c_67578,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67523,c_1263]) ).
tcf(c_67594,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(demodulation,[status(thm)],[c_21726,c_6648]) ).
tcf(c_67609,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_25380,c_67594]) ).
tcf(c_67611,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ominus__class_Ominus(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22947,c_67594]) ).
tcf(c_67612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_51676,c_67594]) ).
tcf(c_67614,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10643,c_67594]) ).
tcf(c_67615,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6607,c_67594]) ).
tcf(c_67616,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21364,c_67594]) ).
tcf(c_67617,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21375,c_67594]) ).
tcf(c_67618,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21402,c_67594]) ).
tcf(c_67620,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22325,c_67594]) ).
tcf(c_67621,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23285,c_67594]) ).
tcf(c_67622,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_67594]) ).
tcf(c_67623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_67594]) ).
tcf(c_67624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_67594]) ).
tcf(c_67625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_67594]) ).
tcf(c_67628,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6607,c_67594]) ).
tcf(c_67629,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21364,c_67594]) ).
tcf(c_67630,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21375,c_67594]) ).
tcf(c_67631,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21402,c_67594]) ).
tcf(c_67633,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22325,c_67594]) ).
tcf(c_67634,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23285,c_67594]) ).
tcf(c_67635,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_67594]) ).
tcf(c_67636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_67594]) ).
tcf(c_67637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_67594]) ).
tcf(c_67638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_67594]) ).
tcf(c_67639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_67594,c_37737]) ).
tcf(c_67640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_67594,c_27309]) ).
tcf(c_67641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_67594,c_21480]) ).
tcf(c_67642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_67594,c_25280]) ).
tcf(c_67643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_67594,c_22511]) ).
tcf(c_67645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_67594,c_51676]) ).
tcf(c_67646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_67594,c_21433]) ).
tcf(c_67647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_67594,c_37729]) ).
tcf(c_67648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_67594,c_25978]) ).
tcf(c_67649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_67594,c_26442]) ).
tcf(c_67650,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_67594,c_37766]) ).
tcf(c_67651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_67594,c_54879]) ).
tcf(c_67652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_67594,c_21538]) ).
tcf(c_67653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_67594,c_46027]) ).
tcf(c_67654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_67594,c_37981]) ).
tcf(c_67655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_67594,c_26412]) ).
tcf(c_67656,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_67594,c_21994]) ).
tcf(c_67657,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_67594,c_21989]) ).
tcf(c_67658,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_67594,c_6746]) ).
tcf(c_67659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_67594,c_6731]) ).
tcf(c_67660,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_67594,c_22663]) ).
tcf(c_67661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_67594,c_6701]) ).
tcf(c_67662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_67594,c_6613]) ).
tcf(c_67663,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_67594,c_21441]) ).
tcf(c_67664,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_67594,c_6552]) ).
tcf(c_67665,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_67594,c_6543]) ).
tcf(c_67666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_67594,c_25996]) ).
tcf(c_67667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_67594,c_37981]) ).
tcf(c_67668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_67594,c_6701]) ).
tcf(c_67669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_67594,c_6613]) ).
tcf(c_67670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_67594,c_60829]) ).
tcf(c_67671,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_67594,c_21540]) ).
tcf(c_67672,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_67594,c_38230]) ).
tcf(c_67673,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_67594,c_22666]) ).
tcf(c_67674,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_67594,c_21442]) ).
tcf(c_67675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_67594,c_51676]) ).
tcf(c_67676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X4,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_67594,c_28241]) ).
tcf(c_67677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_67594,c_21544]) ).
tcf(c_67678,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_67594,c_54879]) ).
tcf(c_67679,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_67594,c_37766]) ).
tcf(c_67680,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_67594,c_46030]) ).
tcf(c_67681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_67594,c_25276]) ).
tcf(c_67682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_67594,c_22444]) ).
tcf(c_67683,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_67594,c_58331]) ).
tcf(c_67684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_67594,c_65613]) ).
tcf(c_67685,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_67594,c_46090]) ).
tcf(c_67686,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_67594,c_56918]) ).
tcf(c_67687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_67594,c_56918]) ).
tcf(c_67746,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_67614,c_6631,c_21412]) ).
tcf(c_67772,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_67630,c_6654]) ).
tcf(c_67776,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_67629,c_6432,c_21364]) ).
tcf(c_67783,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_67616,c_6432]) ).
tcf(c_67794,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_67657,c_60102]) ).
tcf(c_67798,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_67656,c_60102]) ).
tcf(c_67814,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_67683,c_6654]) ).
tcf(c_67830,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_67628,c_6607]) ).
tcf(c_67840,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_67634,c_23285,c_26127]) ).
tcf(c_67911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_67684,c_10640,c_38490]) ).
tcf(c_67917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_67670,c_10640]) ).
tcf(c_68167,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1268,c_27279]) ).
tcf(c_68168,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1185,c_27279]) ).
tcf(c_68169,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1266,c_27279]) ).
tcf(c_68171,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_27279]) ).
tcf(c_68172,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1171,c_27279]) ).
tcf(c_68173,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1170,c_27279]) ).
tcf(c_68178,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21441,c_27279]) ).
tcf(c_68179,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21512,c_27279]) ).
tcf(c_68180,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21972,c_27279]) ).
tcf(c_68181,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22227,c_27279]) ).
tcf(c_68182,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22486,c_27279]) ).
tcf(c_68183,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22513,c_27279]) ).
tcf(c_68184,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22511,c_27279]) ).
tcf(c_68185,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22640,c_27279]) ).
tcf(c_68186,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35626,c_27279]) ).
tcf(c_68190,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24213,c_27279]) ).
tcf(c_68193,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26727,c_27279]) ).
tcf(c_68195,plain,
! [X0: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24965,c_27279]) ).
tcf(c_68196,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26309,c_27279]) ).
tcf(c_68198,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25996,c_27279]) ).
tcf(c_68199,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25984,c_27279]) ).
tcf(c_68203,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26336,c_27279]) ).
tcf(c_68204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26438,c_27279]) ).
tcf(c_68211,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26505,c_27279]) ).
tcf(c_68212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26595,c_27279]) ).
tcf(c_68213,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26744,c_27279]) ).
tcf(c_68214,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26741,c_27279]) ).
tcf(c_68215,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27309,c_27279]) ).
tcf(c_68216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_28241,c_27279]) ).
tcf(c_68217,plain,
! [X0: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_49851,c_27279]) ).
tcf(c_68225,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_68215,c_34460]) ).
tcf(c_68230,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_68213,c_38490]) ).
tcf(c_68247,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_68169,c_33421]) ).
tcf(c_68250,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_68172,c_38490]) ).
tcf(c_68252,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68171,c_964]) ).
tcf(c_68255,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68168,c_964]) ).
tcf(c_68259,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68167,c_1263]) ).
tcf(c_68278,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1268,c_27317]) ).
tcf(c_68279,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1185,c_27317]) ).
tcf(c_68280,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1266,c_27317]) ).
tcf(c_68282,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_27317]) ).
tcf(c_68283,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1171,c_27317]) ).
tcf(c_68284,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1170,c_27317]) ).
tcf(c_68290,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21512,c_27317]) ).
tcf(c_68291,plain,
! [X0: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21972,c_27317]) ).
tcf(c_68292,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22227,c_27317]) ).
tcf(c_68293,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22486,c_27317]) ).
tcf(c_68294,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22513,c_27317]) ).
tcf(c_68295,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22511,c_27317]) ).
tcf(c_68296,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22640,c_27317]) ).
tcf(c_68297,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35626,c_27317]) ).
tcf(c_68301,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24213,c_27317]) ).
tcf(c_68304,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26727,c_27317]) ).
tcf(c_68306,plain,
! [X0: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24965,c_27317]) ).
tcf(c_68307,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26309,c_27317]) ).
tcf(c_68309,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25996,c_27317]) ).
tcf(c_68310,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25984,c_27317]) ).
tcf(c_68312,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_49830,c_27317]) ).
tcf(c_68314,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26336,c_27317]) ).
tcf(c_68315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26438,c_27317]) ).
tcf(c_68320,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_49831,c_27317]) ).
tcf(c_68322,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26505,c_27317]) ).
tcf(c_68323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26595,c_27317]) ).
tcf(c_68324,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26744,c_27317]) ).
tcf(c_68325,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26741,c_27317]) ).
tcf(c_68326,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27309,c_27317]) ).
tcf(c_68327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_28241,c_27317]) ).
tcf(c_68328,plain,
! [X0: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_49851,c_27317]) ).
tcf(c_68337,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_68326,c_60525]) ).
tcf(c_68357,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_68280,c_10416]) ).
tcf(c_68360,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_68283,c_34526]) ).
tcf(c_68362,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68282,c_964]) ).
tcf(c_68365,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68279,c_964]) ).
tcf(c_68369,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68278,c_1263]) ).
tcf(c_68455,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_1268,c_27378]) ).
tcf(c_68456,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_1185,c_27378]) ).
tcf(c_68457,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_1266,c_27378]) ).
tcf(c_68459,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_27378]) ).
tcf(c_68460,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_1171,c_27378]) ).
tcf(c_68461,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_1170,c_27378]) ).
tcf(c_68465,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_21274,c_27378]) ).
tcf(c_68467,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_21292,c_27378]) ).
tcf(c_68473,plain,
! [X0: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24668,c_27378]) ).
tcf(c_68475,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_25011,c_27378]) ).
tcf(c_68476,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),X0,tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_25220,c_27378]) ).
tcf(c_68479,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_49830,c_27378]) ).
tcf(c_68481,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),X1,tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26336,c_27378]) ).
tcf(c_68482,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_26400,c_27378]) ).
tcf(c_68483,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26418,c_27378]) ).
tcf(c_68484,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26445,c_27378]) ).
tcf(c_68485,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_49831,c_27378]) ).
tcf(c_68486,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26504,c_27378]) ).
tcf(c_68487,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26505,c_27378]) ).
tcf(c_68488,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_26563,c_27378]) ).
tcf(c_68489,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26577,c_27378]) ).
tcf(c_68490,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26596,c_27378]) ).
tcf(c_68491,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_26786,c_27378]) ).
tcf(c_68492,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_26783,c_27378]) ).
tcf(c_68494,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26768,c_27378]) ).
tcf(c_68495,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0,tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26770,c_27378]) ).
tcf(c_68497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),X3,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_26856,c_27378]) ).
tcf(c_68498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat),tc_nat),X3,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_26855,c_27378]) ).
tcf(c_68499,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_30359,c_27378]) ).
tcf(c_68500,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_30362,c_27378]) ).
tcf(c_68501,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_30744,c_27378]) ).
tcf(c_68502,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_30747,c_27378]) ).
tcf(c_68503,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_31817,c_27378]) ).
tcf(c_68505,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_31820,c_27378]) ).
tcf(c_68506,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_31881,c_27378]) ).
tcf(c_68507,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_33005,c_27378]) ).
tcf(c_68508,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0,tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_33007,c_27378]) ).
tcf(c_68509,plain,
! [X0: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_33010,c_27378]) ).
tcf(c_68510,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat),tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_33015,c_27378]) ).
tcf(c_68511,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_33017,c_27378]) ).
tcf(c_68512,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat),X1,tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_44044,c_27378]) ).
tcf(c_68513,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),X1,tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_44917,c_27378]) ).
tcf(c_68515,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_50122,c_27378]) ).
tcf(c_68516,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_51239,c_27378]) ).
tcf(c_68517,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_52940,c_27378]) ).
tcf(c_68522,plain,
! [X0: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(light_normalisation,[status(thm)],[c_68485,c_902]) ).
tcf(c_68533,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(light_normalisation,[status(thm)],[c_68491,c_27577]) ).
tcf(c_68571,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(light_normalisation,[status(thm)],[c_68460,c_27577]) ).
tcf(c_68574,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68459,c_1131]) ).
tcf(c_68577,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68456,c_1131]) ).
tcf(c_68625,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_27243]) ).
tcf(c_68626,plain,
! [X0: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21455,c_27243]) ).
tcf(c_68627,plain,
! [X0: $i,X1: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21461,c_27243]) ).
tcf(c_68628,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_60094,c_27243]) ).
tcf(c_68629,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25368,c_27243]) ).
tcf(c_68630,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = X1 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_27243,c_1357]) ).
tcf(c_68631,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = X1 )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_27243,c_1282]) ).
tcf(c_68632,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = X1 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_27243,c_1020]) ).
tcf(c_68633,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27243,c_1268]) ).
tcf(c_68634,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_27243,c_1023]) ).
tcf(c_68635,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = X1 )
| ~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(X2,X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_27243,c_1023]) ).
tcf(c_68636,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27243,c_25737]) ).
tcf(c_68637,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_27243,c_56568]) ).
tcf(c_68638,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_27243,c_32282]) ).
tcf(c_68639,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27243,c_25743]) ).
tcf(c_68640,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27243,c_25742]) ).
tcf(c_68641,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27243,c_25739]) ).
tcf(c_68642,plain,
! [X0: $i,X1: $i] : c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27243,c_25703]) ).
tcf(c_68643,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27243,c_25744]) ).
tcf(c_68644,plain,
! [X0: $i,X1: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27243,c_25368]) ).
tcf(c_68645,plain,
! [X0: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27243,c_21355]) ).
tcf(c_68646,plain,
! [X0: $i,X1: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27243,c_27447]) ).
tcf(c_68647,plain,
! [X0: $i,X1: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27243,c_25685]) ).
tcf(c_68649,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27243,c_25737]) ).
tcf(c_68650,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27243,c_25743]) ).
tcf(c_68651,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27243,c_25742]) ).
tcf(c_68652,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27243,c_25739]) ).
tcf(c_68653,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27243,c_25744]) ).
tcf(c_68654,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27243,c_22947]) ).
tcf(c_68655,plain,
! [X0: $i,X1: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27243,c_25686]) ).
tcf(c_68656,plain,
! [X0: $i,X1: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27243,c_25699]) ).
tcf(c_68657,plain,
! [X0: $i,X1: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_27243,c_27064]) ).
tcf(c_68675,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(X2,X2,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68635,c_1011]) ).
tcf(c_68678,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68634,c_1011]) ).
tcf(c_68682,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68633,c_1263]) ).
tcf(c_68763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6415,c_27310]) ).
tcf(c_68765,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6648,c_27310]) ).
tcf(c_68766,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_12533,c_27310]) ).
tcf(c_68767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_12528,c_27310]) ).
tcf(c_68768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6619,c_27310]) ).
tcf(c_68770,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_12519,c_27310]) ).
tcf(c_68772,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6683,c_27310]) ).
tcf(c_68773,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_10416,c_27310]) ).
tcf(c_68775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21250,c_27310]) ).
tcf(c_68777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21433,c_27310]) ).
tcf(c_68780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_46027,c_27310]) ).
tcf(c_68781,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_58331,c_27310]) ).
tcf(c_68782,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_62639,c_27310]) ).
tcf(c_68783,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_67594,c_27310]) ).
tcf(c_68784,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22183,c_27310]) ).
tcf(c_68785,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_56918,c_27310]) ).
tcf(c_68786,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_58331,c_27310]) ).
tcf(c_68787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_56918,c_27310]) ).
tcf(c_68788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27310,c_1191]) ).
tcf(c_68789,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27310,c_1265]) ).
tcf(c_68790,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27310,c_31074]) ).
tcf(c_68791,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27310,c_1182]) ).
tcf(c_68792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27310,c_1173]) ).
tcf(c_68793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27310,c_1172]) ).
tcf(c_68794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27310,c_26442]) ).
tcf(c_68795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27310,c_26412]) ).
tcf(c_68796,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27310,c_27317]) ).
tcf(c_68797,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27310,c_27279]) ).
tcf(c_68798,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27310,c_42079]) ).
tcf(c_68799,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27310,c_24659]) ).
tcf(c_68800,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27310,c_26391]) ).
tcf(c_68801,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27310,c_24488]) ).
tcf(c_68802,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27310,c_24184]) ).
tcf(c_68803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27310,c_26599]) ).
tcf(c_68804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27310,c_26448]) ).
tcf(c_68805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27310,c_26571]) ).
tcf(c_68806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27310,c_26409]) ).
tcf(c_68812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_68806,c_60094]) ).
tcf(c_68815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_68805,c_60094]) ).
tcf(c_68818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_68795,c_6543]) ).
tcf(c_68826,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_68801,c_21461]) ).
tcf(c_68836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_68804,c_60094]) ).
tcf(c_68839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_68803,c_60094]) ).
tcf(c_68844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_68794,c_6543]) ).
tcf(c_68849,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_68789,c_21461]) ).
tcf(c_68851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_68793,c_60094]) ).
tcf(c_68853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_68792,c_60094]) ).
tcf(c_68859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68788,c_964]) ).
tcf(c_69059,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_21577,c_27735]) ).
tcf(c_69060,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27735,c_1191]) ).
tcf(c_69061,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_27735,c_1265]) ).
tcf(c_69066,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_27735,c_26442]) ).
tcf(c_69075,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_27735,c_26599]) ).
tcf(c_69084,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69060,c_964]) ).
tcf(c_69095,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_21576,c_27738]) ).
tcf(c_69096,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_27738,c_1191]) ).
tcf(c_69097,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_27738,c_1265]) ).
tcf(c_69099,plain,
! [X0: $i] :
( ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_27738,c_1182]) ).
tcf(c_69102,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat),X2,tc_nat) = c_Divides_Odiv__class_Omod(X1,X2,tc_nat) )
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_27738,c_12546]) ).
tcf(c_69103,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_27738,c_12548]) ).
tcf(c_69114,plain,
! [X0: $i] :
( ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69099,c_1131]) ).
tcf(c_69117,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69096,c_1131]) ).
tcf(c_69129,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_21849,c_27888]) ).
tcf(c_69130,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_993,c_27888]) ).
tcf(c_69137,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_997,c_27888]) ).
tcf(c_69139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_27888]) ).
tcf(c_69140,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_27888]) ).
tcf(c_69142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_27888]) ).
tcf(c_69143,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_994,c_27888]) ).
tcf(c_69144,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_27888]) ).
tcf(c_69145,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_27888]) ).
tcf(c_69147,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_27888]) ).
tcf(c_69148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_27888]) ).
tcf(c_69149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_27888]) ).
tcf(c_69151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_27888]) ).
tcf(c_69152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_27888]) ).
tcf(c_69154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X4,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_27888]) ).
tcf(c_69155,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_996,c_27888]) ).
tcf(c_69156,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_994,c_27888]) ).
tcf(c_69158,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_27888]) ).
tcf(c_69161,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_27888]) ).
tcf(c_69162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_27888]) ).
tcf(c_69163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_27888]) ).
tcf(c_69164,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_997,c_27888]) ).
tcf(c_69165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_27888]) ).
tcf(c_69166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_27888]) ).
tcf(c_69168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),X4,tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,tc_nat),X1,tc_nat),X4,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_27888]) ).
tcf(c_69169,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_996,c_27888]) ).
tcf(c_69170,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_994,c_27888]) ).
tcf(c_69171,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_27888]) ).
tcf(c_69172,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_27888]) ).
tcf(c_69173,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_27888]) ).
tcf(c_69177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_69163,c_53383]) ).
tcf(c_69178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_69162,c_36641]) ).
tcf(c_69183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X4,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X4,tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_69168,c_53384]) ).
tcf(c_69238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(demodulation,[status(thm)],[c_21733,c_39797,c_46087]) ).
tcf(c_69252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10643,c_69238]) ).
tcf(c_69253,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6607,c_69238]) ).
tcf(c_69254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21364,c_69238]) ).
tcf(c_69255,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21375,c_69238]) ).
tcf(c_69256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21402,c_69238]) ).
tcf(c_69258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22325,c_69238]) ).
tcf(c_69259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23285,c_69238]) ).
tcf(c_69260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(X4,X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X4,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_69238]) ).
tcf(c_69261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X5,c_HOL_Otimes__class_Otimes(X1,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X5,c_HOL_Otimes__class_Otimes(X1,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,c_HOL_Otimes__class_Otimes(X1,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_69238]) ).
tcf(c_69262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),X6,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X4,c_HOL_Oinverse__class_Odivide(X6,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_69238]) ).
tcf(c_69263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),X6,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X4,c_HOL_Oinverse__class_Odivide(X6,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_69238]) ).
tcf(c_69265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21386,c_69238]) ).
tcf(c_69266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X4,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_25380,c_69238]) ).
tcf(c_69267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22336,c_69238]) ).
tcf(c_69268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X3,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22947,c_69238]) ).
tcf(c_69269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X3,X5,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X5,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X3,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X4,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_51676,c_69238]) ).
tcf(c_69271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10643,c_69238]) ).
tcf(c_69272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6607,c_69238]) ).
tcf(c_69273,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21364,c_69238]) ).
tcf(c_69274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21375,c_69238]) ).
tcf(c_69275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21402,c_69238]) ).
tcf(c_69277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22325,c_69238]) ).
tcf(c_69278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23285,c_69238]) ).
tcf(c_69279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_69238]) ).
tcf(c_69280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X5,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_69238]) ).
tcf(c_69281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X6 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X6,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X6,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),X6,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_69238]) ).
tcf(c_69282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X6 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X4,c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X6,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X6,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X6,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_69238]) ).
tcf(c_69285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6607,c_69238]) ).
tcf(c_69286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21364,c_69238]) ).
tcf(c_69287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21375,c_69238]) ).
tcf(c_69288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21402,c_69238]) ).
tcf(c_69290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22325,c_69238]) ).
tcf(c_69291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23285,c_69238]) ).
tcf(c_69292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_69238]) ).
tcf(c_69293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X5,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_69238]) ).
tcf(c_69294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,tc_Complex_Ocomplex),X6,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,c_HOL_Oinverse__class_Odivide(X6,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_69238]) ).
tcf(c_69295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X4,tc_Complex_Ocomplex),X6,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,c_HOL_Oinverse__class_Odivide(X6,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_69238]) ).
tcf(c_69296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_69238,c_37737]) ).
tcf(c_69297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X5,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_69238,c_27309]) ).
tcf(c_69298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_69238,c_21480]) ).
tcf(c_69299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_69238,c_25280]) ).
tcf(c_69300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_69238,c_22511]) ).
tcf(c_69302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X5,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_69238,c_27310]) ).
tcf(c_69303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X6,c_HOL_Otimes__class_Otimes(X2,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X5,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X6,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_69238,c_51676]) ).
tcf(c_69304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X4,c_HOL_Oinverse__class_Odivide(X5,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_69238,c_21433]) ).
tcf(c_69305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X4,c_HOL_Oinverse__class_Odivide(X5,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_69238,c_37729]) ).
tcf(c_69306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X5,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_69238,c_25978]) ).
tcf(c_69307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_69238,c_26442]) ).
tcf(c_69308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_69238,c_37766]) ).
tcf(c_69309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_69238,c_54879]) ).
tcf(c_69310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X6,c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),X6,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_69238,c_21538]) ).
tcf(c_69311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_69238,c_46027]) ).
tcf(c_69312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_69238,c_37981]) ).
tcf(c_69313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_69238,c_26412]) ).
tcf(c_69314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_69238,c_21994]) ).
tcf(c_69315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_69238,c_21989]) ).
tcf(c_69316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_69238,c_6746]) ).
tcf(c_69317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X6 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X6,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X5,c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X5,X6,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_69238,c_6731]) ).
tcf(c_69318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_69238,c_22663]) ).
tcf(c_69319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_69238,c_6701]) ).
tcf(c_69320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_69238,c_6613]) ).
tcf(c_69321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_69238,c_21441]) ).
tcf(c_69322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_69238,c_6552]) ).
tcf(c_69323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_69238,c_6543]) ).
tcf(c_69324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X4,c_HOL_Oinverse__class_Odivide(X5,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_69238,c_25996]) ).
tcf(c_69325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X4,c_HOL_Oinverse__class_Odivide(X5,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_69238,c_37981]) ).
tcf(c_69326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X4,c_HOL_Oinverse__class_Odivide(X5,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_69238,c_6701]) ).
tcf(c_69327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X4,c_HOL_Oinverse__class_Odivide(X5,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_69238,c_6613]) ).
tcf(c_69328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X6 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X6,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X6,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X6,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_69238,c_60829]) ).
tcf(c_69329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_69238,c_21540]) ).
tcf(c_69330,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_69238,c_38230]) ).
tcf(c_69331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_69238,c_22666]) ).
tcf(c_69332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_69238,c_21442]) ).
tcf(c_69333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,c_HOL_Oinverse__class_Odivide(X6,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,tc_Complex_Ocomplex),X6,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_69238,c_51676]) ).
tcf(c_69334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,c_HOL_Otimes__class_Otimes(X6,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_69238,c_28241]) ).
tcf(c_69335,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,c_HOL_Oinverse__class_Odivide(X6,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X1,tc_Complex_Ocomplex),X6,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_69238,c_21544]) ).
tcf(c_69336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_69238,c_54879]) ).
tcf(c_69337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_69238,c_37766]) ).
tcf(c_69338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_69238,c_46030]) ).
tcf(c_69339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X4,c_HOL_Oinverse__class_Odivide(X5,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_69238,c_25276]) ).
tcf(c_69340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X4,c_HOL_Oinverse__class_Odivide(X5,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_69238,c_22444]) ).
tcf(c_69341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,c_HOL_Oinverse__class_Odivide(X6,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X0,tc_Complex_Ocomplex),X6,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_69238,c_65613]) ).
tcf(c_69342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_69238,c_46090]) ).
tcf(c_69343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_69238,c_56918]) ).
tcf(c_69394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_69255,c_6648]) ).
tcf(c_69437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_69286,c_21364]) ).
tcf(c_69460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_69287,c_6654]) ).
tcf(c_69464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_69273,c_6654]) ).
tcf(c_69475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_69315,c_60102]) ).
tcf(c_69479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_69314,c_60102]) ).
tcf(c_69510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_69285,c_6607]) ).
tcf(c_69517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_69291,c_23285]) ).
tcf(c_69539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_69278,c_21253]) ).
tcf(c_69547,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_69329,c_10640]) ).
tcf(c_69603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,c_HOL_Oinverse__class_Odivide(X6,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X0,tc_Complex_Ocomplex),X6,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_69341,c_10640,c_38490]) ).
tcf(c_69609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X6 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X6,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X6,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X6,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_69328,c_10640]) ).
tcf(c_69972,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_27910]) ).
tcf(c_69973,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_27910]) ).
tcf(c_69974,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_27910]) ).
tcf(c_69975,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_997,c_27910]) ).
tcf(c_69976,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_27910]) ).
tcf(c_69977,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_27910]) ).
tcf(c_69979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_27910]) ).
tcf(c_69980,plain,
! [X0: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_996,c_27910]) ).
tcf(c_69981,plain,
! [X0: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_994,c_27910]) ).
tcf(c_69983,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_27910]) ).
tcf(c_69985,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_997,c_27910]) ).
tcf(c_69987,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_27910]) ).
tcf(c_69988,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_27910]) ).
tcf(c_69990,plain,
! [X0: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_994,c_27910]) ).
tcf(c_69993,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_27910]) ).
tcf(c_69995,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_27910]) ).
tcf(c_69997,plain,
! [X0: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_996,c_27910]) ).
tcf(c_69998,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_27910]) ).
tcf(c_69999,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_27910]) ).
tcf(c_70003,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_27910,c_1106]) ).
tcf(c_70007,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_27910,c_12054]) ).
tcf(c_70014,plain,
! [X0: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_27910,c_23791]) ).
tcf(c_70018,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_69987,c_28498]) ).
tcf(c_70019,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_69976,c_35019]) ).
tcf(c_70020,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_69999,c_36326]) ).
tcf(c_70021,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_69993,c_36598]) ).
tcf(c_70042,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1268,c_28082]) ).
tcf(c_70043,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1185,c_28082]) ).
tcf(c_70044,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1266,c_28082]) ).
tcf(c_70046,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_28082]) ).
tcf(c_70047,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1171,c_28082]) ).
tcf(c_70048,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1170,c_28082]) ).
tcf(c_70065,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24213,c_28082]) ).
tcf(c_70067,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27310,c_28082]) ).
tcf(c_70069,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26727,c_28082]) ).
tcf(c_70071,plain,
! [X0: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24965,c_28082]) ).
tcf(c_70072,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26309,c_28082]) ).
tcf(c_70074,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25996,c_28082]) ).
tcf(c_70075,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25984,c_28082]) ).
tcf(c_70079,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26336,c_28082]) ).
tcf(c_70080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26438,c_28082]) ).
tcf(c_70087,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26505,c_28082]) ).
tcf(c_70088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26595,c_28082]) ).
tcf(c_70089,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26744,c_28082]) ).
tcf(c_70090,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26741,c_28082]) ).
tcf(c_70091,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27309,c_28082]) ).
tcf(c_70092,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_27735,c_28082]) ).
tcf(c_70093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_28241,c_28082]) ).
tcf(c_70094,plain,
! [X0: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_49851,c_28082]) ).
tcf(c_70107,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_70087,c_964]) ).
tcf(c_70108,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_70079,c_964]) ).
tcf(c_70119,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70043,c_964]) ).
tcf(c_70123,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70042,c_1263]) ).
tcf(c_70179,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_1268,c_28109]) ).
tcf(c_70180,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_1185,c_28109]) ).
tcf(c_70181,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_1266,c_28109]) ).
tcf(c_70183,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_28109]) ).
tcf(c_70185,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_1170,c_28109]) ).
tcf(c_70197,plain,
! [X0: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_24668,c_28109]) ).
tcf(c_70199,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_25011,c_28109]) ).
tcf(c_70200,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),X1,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_25220,c_28109]) ).
tcf(c_70205,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),X2,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26336,c_28109]) ).
tcf(c_70207,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26418,c_28109]) ).
tcf(c_70208,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26445,c_28109]) ).
tcf(c_70211,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26505,c_28109]) ).
tcf(c_70213,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26577,c_28109]) ).
tcf(c_70214,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26596,c_28109]) ).
tcf(c_70216,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_26783,c_28109]) ).
tcf(c_70218,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26768,c_28109]) ).
tcf(c_70219,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_26770,c_28109]) ).
tcf(c_70221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_26856,c_28109]) ).
tcf(c_70222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_26855,c_28109]) ).
tcf(c_70223,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_27738,c_28109]) ).
tcf(c_70225,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_30362,c_28109]) ).
tcf(c_70227,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_30747,c_28109]) ).
tcf(c_70228,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_31817,c_28109]) ).
tcf(c_70230,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_31820,c_28109]) ).
tcf(c_70231,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_31881,c_28109]) ).
tcf(c_70234,plain,
! [X0: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_33010,c_28109]) ).
tcf(c_70235,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2,tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_33015,c_28109]) ).
tcf(c_70236,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_33017,c_28109]) ).
tcf(c_70237,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),X2,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_44044,c_28109]) ).
tcf(c_70238,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),X2,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_44917,c_28109]) ).
tcf(c_70240,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_50122,c_28109]) ).
tcf(c_70241,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_51239,c_28109]) ).
tcf(c_70242,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_52940,c_28109]) ).
tcf(c_70258,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_70211,c_1131]) ).
tcf(c_70259,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),X2,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_70205,c_1131]) ).
tcf(c_70276,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70180,c_1131]) ).
tcf(c_70354,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1190,c_28254]) ).
tcf(c_70355,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1268,c_28254]) ).
tcf(c_70356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1185,c_28254]) ).
tcf(c_70357,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1266,c_28254]) ).
tcf(c_70359,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_28254]) ).
tcf(c_70360,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1171,c_28254]) ).
tcf(c_70361,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1170,c_28254]) ).
tcf(c_70362,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1169,c_28254]) ).
tcf(c_70363,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1168,c_28254]) ).
tcf(c_70368,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21972,c_28254]) ).
tcf(c_70371,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22227,c_28254]) ).
tcf(c_70372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22486,c_28254]) ).
tcf(c_70373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22513,c_28254]) ).
tcf(c_70374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22511,c_28254]) ).
tcf(c_70375,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22640,c_28254]) ).
tcf(c_70376,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35626,c_28254]) ).
tcf(c_70377,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35518,c_28254]) ).
tcf(c_70378,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34272,c_28254]) ).
tcf(c_70380,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24213,c_28254]) ).
tcf(c_70382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27310,c_28254]) ).
tcf(c_70383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25978,c_28254]) ).
tcf(c_70385,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24546,c_28254]) ).
tcf(c_70386,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24965,c_28254]) ).
tcf(c_70387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26309,c_28254]) ).
tcf(c_70388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25975,c_28254]) ).
tcf(c_70389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25996,c_28254]) ).
tcf(c_70390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25984,c_28254]) ).
tcf(c_70391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26303,c_28254]) ).
tcf(c_70394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26336,c_28254]) ).
tcf(c_70395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26438,c_28254]) ).
tcf(c_70396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34270,c_28254]) ).
tcf(c_70397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34265,c_28254]) ).
tcf(c_70398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35635,c_28254]) ).
tcf(c_70402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26505,c_28254]) ).
tcf(c_70403,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26595,c_28254]) ).
tcf(c_70408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_28241,c_28254]) ).
tcf(c_70414,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_54879,c_28254]) ).
tcf(c_70415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6415,c_28254]) ).
tcf(c_70417,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6648,c_28254]) ).
tcf(c_70418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_12533,c_28254]) ).
tcf(c_70419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_12528,c_28254]) ).
tcf(c_70420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6619,c_28254]) ).
tcf(c_70422,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_12519,c_28254]) ).
tcf(c_70424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6683,c_28254]) ).
tcf(c_70425,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_10416,c_28254]) ).
tcf(c_70427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21250,c_28254]) ).
tcf(c_70429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21433,c_28254]) ).
tcf(c_70432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_46027,c_28254]) ).
tcf(c_70433,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_58331,c_28254]) ).
tcf(c_70434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_62639,c_28254]) ).
tcf(c_70435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_67594,c_28254]) ).
tcf(c_70436,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22183,c_28254]) ).
tcf(c_70437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_56918,c_28254]) ).
tcf(c_70438,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_58331,c_28254]) ).
tcf(c_70439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_56918,c_28254]) ).
tcf(c_70440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_69238,c_28254]) ).
tcf(c_70443,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_70371,c_34460,c_47910,c_47896]) ).
tcf(c_70444,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_70354,c_6543]) ).
tcf(c_70445,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_70363,c_34460,c_47910,c_47896]) ).
tcf(c_70455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_70398,c_22173]) ).
tcf(c_70456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_70455,c_34460]) ).
tcf(c_70459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_70397,c_60525]) ).
tcf(c_70473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_70402,c_964]) ).
tcf(c_70474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_70394,c_34476]) ).
tcf(c_70475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_70474,c_964]) ).
tcf(c_70478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_70390,c_6543]) ).
tcf(c_70483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_70387,c_6543]) ).
tcf(c_70486,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_70386,c_6543]) ).
tcf(c_70487,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_70486,c_1263,c_964]) ).
tcf(c_70488,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_70382,c_6543]) ).
tcf(c_70498,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70359,c_964]) ).
tcf(c_70517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70356,c_964]) ).
tcf(c_70521,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70355,c_1263]) ).
tcf(c_70630,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),X1,tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_28372,c_1191]) ).
tcf(c_70632,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),X1,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_28372,c_1265]) ).
tcf(c_70634,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_28372,c_1182]) ).
tcf(c_70637,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,tc_nat),X2,tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_28372,c_12546]) ).
tcf(c_70638,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),X1,tc_nat),tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_28372,c_12548]) ).
tcf(c_70639,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_28372,c_28109]) ).
tcf(c_70640,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0,tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_28372,c_27378]) ).
tcf(c_70641,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_28372,c_26394]) ).
tcf(c_70642,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),X2,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_28372,c_26574]) ).
tcf(c_70643,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),X2,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_28372,c_26415]) ).
tcf(c_70644,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),X1,tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_28372,c_31859]) ).
tcf(c_70661,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70634,c_1131]) ).
tcf(c_70664,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),X1,tc_nat),tc_nat),X2,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70630,c_1131]) ).
tcf(c_70681,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_21849,c_28519]) ).
tcf(c_70682,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_993,c_28519]) ).
tcf(c_70689,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_997,c_28519]) ).
tcf(c_70691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_28519]) ).
tcf(c_70694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_28519]) ).
tcf(c_70695,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_994,c_28519]) ).
tcf(c_70697,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_28519]) ).
tcf(c_70699,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_28519]) ).
tcf(c_70700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_28519]) ).
tcf(c_70701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_28519]) ).
tcf(c_70703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_28519]) ).
tcf(c_70704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_28519]) ).
tcf(c_70706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_28519]) ).
tcf(c_70710,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_28519]) ).
tcf(c_70713,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_28519]) ).
tcf(c_70714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X3,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_28519]) ).
tcf(c_70715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),X3,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_28519]) ).
tcf(c_70716,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_997,c_28519]) ).
tcf(c_70717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_28519]) ).
tcf(c_70718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_28519]) ).
tcf(c_70720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),X3,tc_nat),X4,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_28519]) ).
tcf(c_70721,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_996,c_28519]) ).
tcf(c_70722,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_994,c_28519]) ).
tcf(c_70723,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_28519]) ).
tcf(c_70724,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_28519]) ).
tcf(c_70725,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),X2,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_28519]) ).
tcf(c_70727,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_70689,c_28498]) ).
tcf(c_70728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_70691,c_28498]) ).
tcf(c_70729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),X2,tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_70715,c_53461]) ).
tcf(c_70730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X3,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_70714,c_36614]) ).
tcf(c_70735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),X4,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_70720,c_53419]) ).
tcf(c_70785,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_28540]) ).
tcf(c_70786,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_28540]) ).
tcf(c_70787,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_28540]) ).
tcf(c_70789,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_28540]) ).
tcf(c_70790,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_28540]) ).
tcf(c_70792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_28540]) ).
tcf(c_70793,plain,
! [X0: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_996,c_28540]) ).
tcf(c_70794,plain,
! [X0: $i] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_994,c_28540]) ).
tcf(c_70795,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_28540]) ).
tcf(c_70796,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_28540]) ).
tcf(c_70797,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_28540]) ).
tcf(c_70798,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_997,c_28540]) ).
tcf(c_70800,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_28540]) ).
tcf(c_70801,plain,
! [X0: $i,X1: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_28540]) ).
tcf(c_70803,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_28540]) ).
tcf(c_70804,plain,
! [X0: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_994,c_28540]) ).
tcf(c_70812,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_28540,c_1106]) ).
tcf(c_70823,plain,
! [X0: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_28540,c_23791]) ).
tcf(c_70827,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_70800,c_28498]) ).
tcf(c_70831,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_70803,c_36375]) ).
tcf(c_70847,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ) ),
inference(superposition,[status(thm)],[c_993,c_70823]) ).
tcf(c_70852,plain,
! [X0: $i] :
( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_978,c_70823]) ).
tcf(c_70853,plain,
c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1099,c_70823]) ).
tcf(c_70854,plain,
! [X0: $i] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) )
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_1080,c_70823]) ).
tcf(c_70858,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_70823]) ).
tcf(c_70859,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_994,c_70823]) ).
tcf(c_70861,plain,
! [X0: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_70823]) ).
tcf(c_70862,plain,
! [X0: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_997,c_70823]) ).
tcf(c_70863,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_70823]) ).
tcf(c_70865,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_996,c_70823]) ).
tcf(c_70866,plain,
! [X0: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_70823]) ).
tcf(c_70867,plain,
! [X0: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_70823]) ).
tcf(c_70868,plain,
! [X0: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_70823]) ).
tcf(c_70885,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_920,c_29008]) ).
tcf(c_70887,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_nat),tc_nat),tc_nat),X2,tc_nat) ),
inference(superposition,[status(thm)],[c_29008,c_1191]) ).
tcf(c_70889,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_29008,c_1265]) ).
tcf(c_70891,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_29008,c_1182]) ).
tcf(c_70894,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_nat),tc_nat),tc_nat),tc_nat),X2,tc_nat) = c_Divides_Odiv__class_Omod(X0,X2,tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_29008,c_12546]) ).
tcf(c_70895,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_29008,c_12548]) ).
tcf(c_70896,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_29008,c_28109]) ).
tcf(c_70897,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_29008,c_27378]) ).
tcf(c_70898,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_29008,c_26394]) ).
tcf(c_70899,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_29008,c_26574]) ).
tcf(c_70900,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_29008,c_26415]) ).
tcf(c_70901,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_29008,c_31859]) ).
tcf(c_70920,plain,
! [X0: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70891,c_1131]) ).
tcf(c_70923,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_nat),tc_nat),tc_nat),X2,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70887,c_1131]) ).
tcf(c_70982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(demodulation,[status(thm)],[c_21735,c_34526]) ).
tcf(c_70995,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6648,c_70982]) ).
tcf(c_70997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10416,c_70982]) ).
tcf(c_70998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_46027,c_70982]) ).
tcf(c_70999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_58331,c_70982]) ).
tcf(c_71000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_56918,c_70982]) ).
tcf(c_71001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_58331,c_70982]) ).
tcf(c_71002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_56918,c_70982]) ).
tcf(c_71003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22336,c_70982]) ).
tcf(c_71006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10643,c_70982]) ).
tcf(c_71007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6607,c_70982]) ).
tcf(c_71008,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21364,c_70982]) ).
tcf(c_71009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21375,c_70982]) ).
tcf(c_71010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21402,c_70982]) ).
tcf(c_71012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22325,c_70982]) ).
tcf(c_71013,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23285,c_70982]) ).
tcf(c_71014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_70982]) ).
tcf(c_71015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_70982]) ).
tcf(c_71016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_70982]) ).
tcf(c_71017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_70982]) ).
tcf(c_71020,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10643,c_70982]) ).
tcf(c_71021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6607,c_70982]) ).
tcf(c_71022,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21364,c_70982]) ).
tcf(c_71023,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21375,c_70982]) ).
tcf(c_71024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21402,c_70982]) ).
tcf(c_71026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22325,c_70982]) ).
tcf(c_71027,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23285,c_70982]) ).
tcf(c_71028,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_70982]) ).
tcf(c_71029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_70982]) ).
tcf(c_71030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X4,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_70982]) ).
tcf(c_71031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X4,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_70982]) ).
tcf(c_71035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_70982,c_1052]) ).
tcf(c_71036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_70982,c_1051]) ).
tcf(c_71037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_70982,c_1173]) ).
tcf(c_71038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_70982,c_1172]) ).
tcf(c_71040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_70982,c_26336]) ).
tcf(c_71043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_70982,c_1052]) ).
tcf(c_71044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X4,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_70982,c_1049]) ).
tcf(c_71045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_70982,c_1170]) ).
tcf(c_71046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X5 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_1364]) ).
tcf(c_71048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_70982,c_26505]) ).
tcf(c_71053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X5,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_70982,c_1176]) ).
tcf(c_71054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_70982,c_1051]) ).
tcf(c_71055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_70982,c_1050]) ).
tcf(c_71056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_70982,c_1050]) ).
tcf(c_71057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_70982,c_1171]) ).
tcf(c_71058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_70982,c_1049]) ).
tcf(c_71059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X5 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_1355]) ).
tcf(c_71060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_1355]) ).
tcf(c_71061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),X6,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X4,c_HOL_Oinverse__class_Odivide(X6,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_69238]) ).
tcf(c_71062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_67594]) ).
tcf(c_71063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_70982,c_26599]) ).
tcf(c_71064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_70982,c_26448]) ).
tcf(c_71065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_60094]) ).
tcf(c_71066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_59232]) ).
tcf(c_71067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X4,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_56918]) ).
tcf(c_71069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_38021]) ).
tcf(c_71070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_38020]) ).
tcf(c_71071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_37756]) ).
tcf(c_71072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_37755]) ).
tcf(c_71073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_54192]) ).
tcf(c_71074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_37737]) ).
tcf(c_71076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_38577]) ).
tcf(c_71077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_37729]) ).
tcf(c_71078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_10640]) ).
tcf(c_71079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_70982,c_26571]) ).
tcf(c_71080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_70982,c_26409]) ).
tcf(c_71081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_24284]) ).
tcf(c_71082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_24064]) ).
tcf(c_71083,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_24002]) ).
tcf(c_71084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_22643]) ).
tcf(c_71086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_22227]) ).
tcf(c_71087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_6683]) ).
tcf(c_71088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_6619]) ).
tcf(c_71089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_70982,c_26336]) ).
tcf(c_71090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X5,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X5,X4,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_70982,c_1176]) ).
tcf(c_71091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_65613]) ).
tcf(c_71092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_70982,c_26309]) ).
tcf(c_71093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_62639]) ).
tcf(c_71094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_37766]) ).
tcf(c_71095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_37756]) ).
tcf(c_71096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_12533]) ).
tcf(c_71097,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_12528]) ).
tcf(c_71098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_70982,c_25975]) ).
tcf(c_71099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X6 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X4,c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X6,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X6,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X6,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_69238]) ).
tcf(c_71100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_60829]) ).
tcf(c_71101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,X5,tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_6716]) ).
tcf(c_71102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_6683]) ).
tcf(c_71103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_6619]) ).
tcf(c_71104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_38021]) ).
tcf(c_71105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_37817]) ).
tcf(c_71106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_46030]) ).
tcf(c_71108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_24895]) ).
tcf(c_71109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_22513]) ).
tcf(c_71110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_70982]) ).
tcf(c_71111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_67594]) ).
tcf(c_71112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_63656]) ).
tcf(c_71113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_70982,c_25984]) ).
tcf(c_71114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_54879]) ).
tcf(c_71115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_37755]) ).
tcf(c_71116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_70982,c_26303]) ).
tcf(c_71118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X4,tc_Complex_Ocomplex),X6,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,c_HOL_Oinverse__class_Odivide(X6,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_69238]) ).
tcf(c_71119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_6683]) ).
tcf(c_71120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_6619]) ).
tcf(c_71121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_26438]) ).
tcf(c_71122,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_21375]) ).
tcf(c_71123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_21402]) ).
tcf(c_71124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_51676]) ).
tcf(c_71125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_37729]) ).
tcf(c_71126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_37981]) ).
tcf(c_71127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_59232]) ).
tcf(c_71128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_54192]) ).
tcf(c_71129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_70982,c_32788]) ).
tcf(c_71130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_38229]) ).
tcf(c_71131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_24023]) ).
tcf(c_71132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_22655]) ).
tcf(c_71133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_21512]) ).
tcf(c_71134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_62639]) ).
tcf(c_71135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_38020]) ).
tcf(c_71136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_37816]) ).
tcf(c_71137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_46090]) ).
tcf(c_71138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X4,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_70982,c_26741]) ).
tcf(c_71139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_24866]) ).
tcf(c_71140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_22486]) ).
tcf(c_71141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_70982]) ).
tcf(c_71142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(X5,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_26595]) ).
tcf(c_71143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_37737]) ).
tcf(c_71144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_25280]) ).
tcf(c_71145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_22511]) ).
tcf(c_71146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_25276]) ).
tcf(c_71147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_22444]) ).
tcf(c_71148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_25743]) ).
tcf(c_71149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_70982,c_26505]) ).
tcf(c_71150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_70982,c_28241]) ).
tcf(c_71204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71040,c_964]) ).
tcf(c_71218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71149,c_964]) ).
tcf(c_71225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71089,c_964]) ).
tcf(c_71247,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_71009,c_6648]) ).
tcf(c_71257,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_71006,c_6631]) ).
tcf(c_71374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71048,c_964]) ).
tcf(c_71406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71058,c_1046]) ).
tcf(c_71411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71056,c_1046]) ).
tcf(c_71416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71055,c_1046]) ).
tcf(c_71421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71054,c_1046]) ).
tcf(c_71426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X4,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71044,c_1046]) ).
tcf(c_71431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71036,c_1046]) ).
tcf(c_71456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X5,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X5,X4,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71090,c_964]) ).
tcf(c_71462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X5,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71053,c_964]) ).
tcf(c_71474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71046,c_1350,c_1046]) ).
tcf(c_71492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71043,c_1046]) ).
tcf(c_71498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71035,c_1046]) ).
tcf(c_71528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71060,c_1350,c_1046]) ).
tcf(c_71534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71059,c_1350,c_1046]) ).
tcf(c_72065,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_30246,c_10416,c_46057,c_60094]) ).
tcf(c_72066,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6432,c_30252]) ).
tcf(c_72067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10640,c_30252]) ).
tcf(c_72068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6552,c_30252]) ).
tcf(c_72069,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6559,c_30252]) ).
tcf(c_72070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10735,c_30252]) ).
tcf(c_72071,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21346,c_30252]) ).
tcf(c_72072,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_32620,c_30252]) ).
tcf(c_72078,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_30252]) ).
tcf(c_72079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_30252]) ).
tcf(c_72080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_30252]) ).
tcf(c_72081,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6648,c_30252]) ).
tcf(c_72082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_30252]) ).
tcf(c_72083,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_30252]) ).
tcf(c_72085,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_30252]) ).
tcf(c_72086,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_10416,c_30252]) ).
tcf(c_72088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21250,c_30252]) ).
tcf(c_72089,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21253,c_30252]) ).
tcf(c_72090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_46027,c_30252]) ).
tcf(c_72092,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22183,c_30252]) ).
tcf(c_72096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_30252]) ).
tcf(c_72097,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21455,c_30252]) ).
tcf(c_72098,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21461,c_30252]) ).
tcf(c_72099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_60094,c_30252]) ).
tcf(c_72100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25368,c_30252]) ).
tcf(c_72101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_30252,c_1191]) ).
tcf(c_72103,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_72081,c_32620]) ).
tcf(c_72109,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_72092,c_32620]) ).
tcf(c_72114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_72099,c_10640]) ).
tcf(c_72115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_72096,c_6552]) ).
tcf(c_72116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_72088,c_10735]) ).
tcf(c_72118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72101,c_964]) ).
tcf(c_72152,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10640,c_72078]) ).
tcf(c_72153,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6552,c_72078]) ).
tcf(c_72155,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10735,c_72078]) ).
tcf(c_72157,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_32620,c_72078]) ).
tcf(c_72158,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_72078,c_1191]) ).
tcf(c_72163,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_72078,c_25993]) ).
tcf(c_72167,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_72153,c_6543]) ).
tcf(c_72172,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_72152,c_60094]) ).
tcf(c_72175,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72158,c_964]) ).
tcf(c_72184,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_997,c_30350]) ).
tcf(c_72186,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_30350]) ).
tcf(c_72187,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_994,c_30350]) ).
tcf(c_72188,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_30350]) ).
tcf(c_72189,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_30350]) ).
tcf(c_72190,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_30350]) ).
tcf(c_72191,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_994,c_30350]) ).
tcf(c_72192,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_30350]) ).
tcf(c_72193,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_902,c_30350]) ).
tcf(c_72194,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_903,c_30350]) ).
tcf(c_72197,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_30350]) ).
tcf(c_72198,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1129,c_30350]) ).
tcf(c_72199,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1128,c_30350]) ).
tcf(c_72200,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_30350]) ).
tcf(c_72201,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_30350]) ).
tcf(c_72203,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_30350,c_12546]) ).
tcf(c_72206,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_72191,c_903]) ).
tcf(c_72208,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),
inference(light_normalisation,[status(thm)],[c_72193,c_996]) ).
tcf(c_72221,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_72198]) ).
tcf(c_72222,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_72198]) ).
tcf(c_72223,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_72198]) ).
tcf(c_72224,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_72198]) ).
tcf(c_72226,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_996,c_72198]) ).
tcf(c_72228,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_72198]) ).
tcf(c_72229,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_72198]) ).
tcf(c_72230,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_72198,c_1191]) ).
tcf(c_72231,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_72198,c_12546]) ).
tcf(c_72232,plain,
! [X0: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_72198,c_12548]) ).
tcf(c_72234,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72230,c_1131]) ).
tcf(c_72287,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_997,c_72199]) ).
tcf(c_72289,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_72199]) ).
tcf(c_72290,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_994,c_72199]) ).
tcf(c_72292,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_72199]) ).
tcf(c_72293,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_997,c_72199]) ).
tcf(c_72294,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_72199]) ).
tcf(c_72296,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_996,c_72199]) ).
tcf(c_72297,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_72199]) ).
tcf(c_72298,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_72199]) ).
tcf(c_72299,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_72199]) ).
tcf(c_72300,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_72199,c_1191]) ).
tcf(c_72301,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_72199,c_12546]) ).
tcf(c_72302,plain,
! [X0: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_72199,c_12548]) ).
tcf(c_72303,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_72199,c_31859]) ).
tcf(c_72304,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72300,c_1131]) ).
tcf(c_72316,plain,
c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
inference(demodulation,[status(thm)],[c_72296,c_994]) ).
tcf(c_72317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(demodulation,[status(thm)],[c_21736,c_60094]) ).
tcf(c_72332,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10643,c_72317]) ).
tcf(c_72333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6607,c_72317]) ).
tcf(c_72334,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21364,c_72317]) ).
tcf(c_72335,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21375,c_72317]) ).
tcf(c_72336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21402,c_72317]) ).
tcf(c_72338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22325,c_72317]) ).
tcf(c_72339,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23285,c_72317]) ).
tcf(c_72340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_72317]) ).
tcf(c_72341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_72317]) ).
tcf(c_72342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_72317]) ).
tcf(c_72343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_72317]) ).
tcf(c_72344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_72317]) ).
tcf(c_72346,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10643,c_72317]) ).
tcf(c_72347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6607,c_72317]) ).
tcf(c_72348,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21364,c_72317]) ).
tcf(c_72349,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21375,c_72317]) ).
tcf(c_72350,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21402,c_72317]) ).
tcf(c_72352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22325,c_72317]) ).
tcf(c_72353,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23285,c_72317]) ).
tcf(c_72354,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X3,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_72317]) ).
tcf(c_72355,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_72317]) ).
tcf(c_72356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_72317]) ).
tcf(c_72357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_72317]) ).
tcf(c_72358,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_72317]) ).
tcf(c_72361,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21375,c_72317]) ).
tcf(c_72362,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21402,c_72317]) ).
tcf(c_72363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22325,c_72317]) ).
tcf(c_72364,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23285,c_72317]) ).
tcf(c_72365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6543,c_72317]) ).
tcf(c_72367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21461,c_72317]) ).
tcf(c_72368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60094,c_72317]) ).
tcf(c_72369,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Ominus__class_Ominus(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ominus__class_Ominus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_25368,c_72317]) ).
tcf(c_72370,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_72317,c_37737]) ).
tcf(c_72371,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X4,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_72317,c_27309]) ).
tcf(c_72372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_72317,c_21480]) ).
tcf(c_72373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_72317,c_25280]) ).
tcf(c_72374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_72317,c_22511]) ).
tcf(c_72376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_72317,c_27310]) ).
tcf(c_72377,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_72317,c_51676]) ).
tcf(c_72378,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_72317,c_21433]) ).
tcf(c_72379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_72317,c_37729]) ).
tcf(c_72380,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_72317,c_25978]) ).
tcf(c_72381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_72317,c_28254]) ).
tcf(c_72382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_72317,c_26442]) ).
tcf(c_72383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_72317,c_37766]) ).
tcf(c_72384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_72317,c_54879]) ).
tcf(c_72385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_72317,c_21538]) ).
tcf(c_72386,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_72317,c_46027]) ).
tcf(c_72387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_72317,c_37981]) ).
tcf(c_72388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_72317,c_26412]) ).
tcf(c_72389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_72317,c_21994]) ).
tcf(c_72390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_72317,c_21989]) ).
tcf(c_72391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_72317,c_6746]) ).
tcf(c_72392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X4,X5,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_72317,c_6731]) ).
tcf(c_72393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_72317,c_22663]) ).
tcf(c_72394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_72317,c_6701]) ).
tcf(c_72395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_72317,c_6613]) ).
tcf(c_72396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_72317,c_21441]) ).
tcf(c_72397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_72317,c_6552]) ).
tcf(c_72398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_72317,c_6543]) ).
tcf(c_72399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_72317,c_25996]) ).
tcf(c_72400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_72317,c_37981]) ).
tcf(c_72401,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_72317,c_6701]) ).
tcf(c_72402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_72317,c_6613]) ).
tcf(c_72403,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_72317,c_60829]) ).
tcf(c_72404,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_72317,c_21540]) ).
tcf(c_72405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_72317,c_38230]) ).
tcf(c_72406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_72317,c_22666]) ).
tcf(c_72407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_72317,c_21442]) ).
tcf(c_72408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_72317,c_51676]) ).
tcf(c_72409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(X5,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_72317,c_28241]) ).
tcf(c_72410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_72317,c_21544]) ).
tcf(c_72411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_72317,c_54879]) ).
tcf(c_72412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_72317,c_37766]) ).
tcf(c_72413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_72317,c_46030]) ).
tcf(c_72414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_72317,c_25276]) ).
tcf(c_72415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_72317,c_22444]) ).
tcf(c_72416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_72317,c_65613]) ).
tcf(c_72417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_72317,c_46090]) ).
tcf(c_72418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_72317,c_56918]) ).
tcf(c_72423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_72417,c_32620]) ).
tcf(c_72515,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_72364,c_21364]) ).
tcf(c_72522,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_72361,c_6654]) ).
tcf(c_72529,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_72348,c_6654]) ).
tcf(c_72588,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_72353,c_21253]) ).
tcf(c_72660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_72416,c_60180]) ).
tcf(c_72666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_72403,c_60180]) ).
tcf(c_73001,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_997,c_30753]) ).
tcf(c_73003,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_30753]) ).
tcf(c_73004,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_994,c_30753]) ).
tcf(c_73005,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_30753]) ).
tcf(c_73006,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_30753]) ).
tcf(c_73007,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_30753]) ).
tcf(c_73008,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_994,c_30753]) ).
tcf(c_73009,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_30753]) ).
tcf(c_73014,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_30753]) ).
tcf(c_73017,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_30753]) ).
tcf(c_73018,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_30753]) ).
tcf(c_73020,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_30753,c_12546]) ).
tcf(c_73034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1268,c_31200]) ).
tcf(c_73035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1185,c_31200]) ).
tcf(c_73036,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1266,c_31200]) ).
tcf(c_73037,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1181,c_31200]) ).
tcf(c_73038,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_31200]) ).
tcf(c_73039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1171,c_31200]) ).
tcf(c_73040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1170,c_31200]) ).
tcf(c_73042,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1168,c_31200]) ).
tcf(c_73051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22486,c_31200]) ).
tcf(c_73052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22513,c_31200]) ).
tcf(c_73053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22511,c_31200]) ).
tcf(c_73054,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22640,c_31200]) ).
tcf(c_73055,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35626,c_31200]) ).
tcf(c_73056,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35518,c_31200]) ).
tcf(c_73057,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34272,c_31200]) ).
tcf(c_73059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24213,c_31200]) ).
tcf(c_73060,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24400,c_31200]) ).
tcf(c_73061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27310,c_31200]) ).
tcf(c_73062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25978,c_31200]) ).
tcf(c_73063,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26727,c_31200]) ).
tcf(c_73064,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24546,c_31200]) ).
tcf(c_73065,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24965,c_31200]) ).
tcf(c_73066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26309,c_31200]) ).
tcf(c_73067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25975,c_31200]) ).
tcf(c_73068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25996,c_31200]) ).
tcf(c_73069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25984,c_31200]) ).
tcf(c_73070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26303,c_31200]) ).
tcf(c_73071,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_49830,c_31200]) ).
tcf(c_73073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26336,c_31200]) ).
tcf(c_73074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26438,c_31200]) ).
tcf(c_73075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34270,c_31200]) ).
tcf(c_73076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34265,c_31200]) ).
tcf(c_73077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35635,c_31200]) ).
tcf(c_73078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34271,c_31200]) ).
tcf(c_73079,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_49831,c_31200]) ).
tcf(c_73081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26505,c_31200]) ).
tcf(c_73082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26595,c_31200]) ).
tcf(c_73083,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26744,c_31200]) ).
tcf(c_73084,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26741,c_31200]) ).
tcf(c_73085,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27309,c_31200]) ).
tcf(c_73086,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_27735,c_31200]) ).
tcf(c_73087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_28241,c_31200]) ).
tcf(c_73092,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_49851,c_31200]) ).
tcf(c_73094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6415,c_31200]) ).
tcf(c_73096,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6648,c_31200]) ).
tcf(c_73097,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_12533,c_31200]) ).
tcf(c_73098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_12528,c_31200]) ).
tcf(c_73099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6619,c_31200]) ).
tcf(c_73100,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6631,c_31200]) ).
tcf(c_73101,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_12519,c_31200]) ).
tcf(c_73103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6683,c_31200]) ).
tcf(c_73104,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_10416,c_31200]) ).
tcf(c_73106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21250,c_31200]) ).
tcf(c_73108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21433,c_31200]) ).
tcf(c_73111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_46027,c_31200]) ).
tcf(c_73112,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_58331,c_31200]) ).
tcf(c_73113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_62639,c_31200]) ).
tcf(c_73114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_67594,c_31200]) ).
tcf(c_73115,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_22183,c_31200]) ).
tcf(c_73116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_56918,c_31200]) ).
tcf(c_73117,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_58331,c_31200]) ).
tcf(c_73118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_56918,c_31200]) ).
tcf(c_73119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_69238,c_31200]) ).
tcf(c_73120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_72317,c_31200]) ).
tcf(c_73133,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_73042,c_34460]) ).
tcf(c_73138,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_73057,c_6543]) ).
tcf(c_73147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_73077,c_22173]) ).
tcf(c_73148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_73147,c_34460]) ).
tcf(c_73151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_73076,c_60525]) ).
tcf(c_73154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_73075,c_34460]) ).
tcf(c_73163,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_73060,c_6543]) ).
tcf(c_73166,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_73104,c_21461]) ).
tcf(c_73169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_73081,c_964]) ).
tcf(c_73170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_73073,c_34476]) ).
tcf(c_73171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_73170,c_964]) ).
tcf(c_73172,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_73055,c_6552]) ).
tcf(c_73173,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_73172,c_6543]) ).
tcf(c_73176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_73069,c_6543]) ).
tcf(c_73181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_73066,c_6543]) ).
tcf(c_73184,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_73065,c_6543]) ).
tcf(c_73185,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_73184,c_1263,c_964]) ).
tcf(c_73186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_73061,c_6543]) ).
tcf(c_73190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_73111,c_6543]) ).
tcf(c_73197,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73038,c_964]) ).
tcf(c_73216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73035,c_964]) ).
tcf(c_73220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73034,c_1263]) ).
tcf(c_73287,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1053,c_31203]) ).
tcf(c_73289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1268,c_31203]) ).
tcf(c_73290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1185,c_31203]) ).
tcf(c_73291,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1266,c_31203]) ).
tcf(c_73293,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1050,c_31203]) ).
tcf(c_73294,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1049,c_31203]) ).
tcf(c_73295,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_31203]) ).
tcf(c_73296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1171,c_31203]) ).
tcf(c_73297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1170,c_31203]) ).
tcf(c_73299,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1168,c_31203]) ).
tcf(c_73300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1176,c_31203]) ).
tcf(c_73307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22486,c_31203]) ).
tcf(c_73308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22513,c_31203]) ).
tcf(c_73309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22511,c_31203]) ).
tcf(c_73310,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22640,c_31203]) ).
tcf(c_73312,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24023,c_31203]) ).
tcf(c_73313,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24064,c_31203]) ).
tcf(c_73314,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35626,c_31203]) ).
tcf(c_73315,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35518,c_31203]) ).
tcf(c_73316,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34272,c_31203]) ).
tcf(c_73318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24213,c_31203]) ).
tcf(c_73320,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24400,c_31203]) ).
tcf(c_73321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27310,c_31203]) ).
tcf(c_73322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25978,c_31203]) ).
tcf(c_73324,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24546,c_31203]) ).
tcf(c_73325,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24965,c_31203]) ).
tcf(c_73326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26309,c_31203]) ).
tcf(c_73327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25975,c_31203]) ).
tcf(c_73328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25996,c_31203]) ).
tcf(c_73329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25984,c_31203]) ).
tcf(c_73330,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26303,c_31203]) ).
tcf(c_73333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26336,c_31203]) ).
tcf(c_73334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26438,c_31203]) ).
tcf(c_73335,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34270,c_31203]) ).
tcf(c_73336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34265,c_31203]) ).
tcf(c_73337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35635,c_31203]) ).
tcf(c_73338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34271,c_31203]) ).
tcf(c_73341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26505,c_31203]) ).
tcf(c_73342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26595,c_31203]) ).
tcf(c_73347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_28241,c_31203]) ).
tcf(c_73350,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33538,c_31203]) ).
tcf(c_73364,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21364,c_31203]) ).
tcf(c_73369,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23285,c_31203]) ).
tcf(c_73370,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38172,c_31203]) ).
tcf(c_73371,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_31203]) ).
tcf(c_73372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60829,c_31203]) ).
tcf(c_73373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_65613,c_31203]) ).
tcf(c_73374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_70982,c_31203]) ).
tcf(c_73383,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_73316,c_60094]) ).
tcf(c_73386,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_73315,c_10640]) ).
tcf(c_73401,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_73320,c_60102]) ).
tcf(c_73402,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73294,c_1046]) ).
tcf(c_73405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_73341,c_964]) ).
tcf(c_73406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_73333,c_964]) ).
tcf(c_73407,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_73314,c_10640]) ).
tcf(c_73413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_73329,c_60094]) ).
tcf(c_73418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_73326,c_60094]) ).
tcf(c_73421,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_73325,c_60102,c_60157]) ).
tcf(c_73422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_73321,c_60094]) ).
tcf(c_73428,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73295,c_964]) ).
tcf(c_73431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73300,c_964]) ).
tcf(c_73435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73290,c_964]) ).
tcf(c_73439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73289,c_1263]) ).
tcf(c_73482,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1054,c_31206]) ).
tcf(c_73485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1268,c_31206]) ).
tcf(c_73486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1185,c_31206]) ).
tcf(c_73487,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1266,c_31206]) ).
tcf(c_73489,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1050,c_31206]) ).
tcf(c_73490,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1049,c_31206]) ).
tcf(c_73491,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_31206]) ).
tcf(c_73492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1171,c_31206]) ).
tcf(c_73493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1170,c_31206]) ).
tcf(c_73495,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1168,c_31206]) ).
tcf(c_73496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1176,c_31206]) ).
tcf(c_73503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22486,c_31206]) ).
tcf(c_73504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22513,c_31206]) ).
tcf(c_73505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22511,c_31206]) ).
tcf(c_73506,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22640,c_31206]) ).
tcf(c_73510,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35626,c_31206]) ).
tcf(c_73511,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35518,c_31206]) ).
tcf(c_73512,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34272,c_31206]) ).
tcf(c_73514,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24213,c_31206]) ).
tcf(c_73516,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24400,c_31206]) ).
tcf(c_73517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27310,c_31206]) ).
tcf(c_73518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25978,c_31206]) ).
tcf(c_73520,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24546,c_31206]) ).
tcf(c_73521,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24965,c_31206]) ).
tcf(c_73522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26309,c_31206]) ).
tcf(c_73523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25975,c_31206]) ).
tcf(c_73524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25996,c_31206]) ).
tcf(c_73525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25984,c_31206]) ).
tcf(c_73526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26303,c_31206]) ).
tcf(c_73529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26336,c_31206]) ).
tcf(c_73530,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26438,c_31206]) ).
tcf(c_73531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34270,c_31206]) ).
tcf(c_73532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34265,c_31206]) ).
tcf(c_73533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35635,c_31206]) ).
tcf(c_73534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34271,c_31206]) ).
tcf(c_73537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26505,c_31206]) ).
tcf(c_73538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26595,c_31206]) ).
tcf(c_73543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_28241,c_31206]) ).
tcf(c_73566,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38172,c_31206]) ).
tcf(c_73567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_63656,c_31206]) ).
tcf(c_73568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60829,c_31206]) ).
tcf(c_73569,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_65613,c_31206]) ).
tcf(c_73570,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_70982,c_31206]) ).
tcf(c_73572,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_73495,c_38490]) ).
tcf(c_73578,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_73512,c_60094]) ).
tcf(c_73581,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_73511,c_10640]) ).
tcf(c_73589,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_73531,c_38490]) ).
tcf(c_73600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_73537,c_964]) ).
tcf(c_73601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_73529,c_38490]) ).
tcf(c_73602,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_73601,c_964]) ).
tcf(c_73603,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_73510,c_10640]) ).
tcf(c_73606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_73525,c_60094]) ).
tcf(c_73611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_73522,c_60094]) ).
tcf(c_73615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_73517,c_60094]) ).
tcf(c_73621,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73491,c_964]) ).
tcf(c_73624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73496,c_964]) ).
tcf(c_73632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73486,c_964]) ).
tcf(c_73636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73485,c_1263]) ).
tcf(c_74066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1268,c_31209]) ).
tcf(c_74067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1185,c_31209]) ).
tcf(c_74068,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1266,c_31209]) ).
tcf(c_74070,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1050,c_31209]) ).
tcf(c_74071,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1049,c_31209]) ).
tcf(c_74072,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_947,c_31209]) ).
tcf(c_74077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1176,c_31209]) ).
tcf(c_74085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22513,c_31209]) ).
tcf(c_74086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22511,c_31209]) ).
tcf(c_74087,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_22640,c_31209]) ).
tcf(c_74088,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24002,c_31209]) ).
tcf(c_74091,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35626,c_31209]) ).
tcf(c_74092,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35518,c_31209]) ).
tcf(c_74093,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34272,c_31209]) ).
tcf(c_74095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24213,c_31209]) ).
tcf(c_74097,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24400,c_31209]) ).
tcf(c_74098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27310,c_31209]) ).
tcf(c_74101,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24546,c_31209]) ).
tcf(c_74102,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_24965,c_31209]) ).
tcf(c_74103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26309,c_31209]) ).
tcf(c_74105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25996,c_31209]) ).
tcf(c_74106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_25984,c_31209]) ).
tcf(c_74110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26336,c_31209]) ).
tcf(c_74111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26438,c_31209]) ).
tcf(c_74112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34270,c_31209]) ).
tcf(c_74113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34265,c_31209]) ).
tcf(c_74114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35635,c_31209]) ).
tcf(c_74115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34271,c_31209]) ).
tcf(c_74118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_26505,c_31209]) ).
tcf(c_74119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X4,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_26595,c_31209]) ).
tcf(c_74124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_28241,c_31209]) ).
tcf(c_74141,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21402,c_31209]) ).
tcf(c_74143,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_23285,c_31209]) ).
tcf(c_74144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_6543,c_31209]) ).
tcf(c_74145,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21455,c_31209]) ).
tcf(c_74147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_60094,c_31209]) ).
tcf(c_74159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_74113,c_60138]) ).
tcf(c_74166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_74118,c_964]) ).
tcf(c_74167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_74110,c_964]) ).
tcf(c_74168,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_74091,c_60180]) ).
tcf(c_74175,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_74102,c_1263,c_964]) ).
tcf(c_74182,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74072,c_964]) ).
tcf(c_74185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74077,c_964]) ).
tcf(c_74189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74067,c_964]) ).
tcf(c_74193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74066,c_1263]) ).
tcf(c_74215,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_31212,c_33421]) ).
tcf(c_74220,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_31849,c_1191]) ).
tcf(c_74221,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_31849,c_1265]) ).
tcf(c_74223,plain,
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_31849,c_1182]) ).
tcf(c_74226,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,tc_nat),c_HOL_Ouminus__class_Ouminus(X1,tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_31849,c_12546]) ).
tcf(c_74227,plain,
! [X0: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_31849,c_12548]) ).
tcf(c_74228,plain,
! [X0: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_31849,c_28109]) ).
tcf(c_74229,plain,
! [X0: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_31849,c_27378]) ).
tcf(c_74230,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_31849,c_26394]) ).
tcf(c_74231,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_31849,c_26574]) ).
tcf(c_74232,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_31849,c_26415]) ).
tcf(c_74233,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_31849,c_31859]) ).
tcf(c_74250,plain,
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74223,c_1131]) ).
tcf(c_74253,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74220,c_1131]) ).
tcf(c_74275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22336,c_21737]) ).
tcf(c_74277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_26127,c_21737]) ).
tcf(c_74278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21412,c_21737]) ).
tcf(c_74279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X2,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22336,c_21737]) ).
tcf(c_74282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10643,c_21737]) ).
tcf(c_74283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6607,c_21737]) ).
tcf(c_74284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21364,c_21737]) ).
tcf(c_74285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21375,c_21737]) ).
tcf(c_74286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21402,c_21737]) ).
tcf(c_74288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22325,c_21737]) ).
tcf(c_74289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23285,c_21737]) ).
tcf(c_74290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_21737]) ).
tcf(c_74291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_21737]) ).
tcf(c_74292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X6,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X6,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_21737]) ).
tcf(c_74293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X5,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X5,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X6,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X6,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_21737]) ).
tcf(c_74294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X5,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X6,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X6,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_21737]) ).
tcf(c_74296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10643,c_21737]) ).
tcf(c_74297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6607,c_21737]) ).
tcf(c_74298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21364,c_21737]) ).
tcf(c_74299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21375,c_21737]) ).
tcf(c_74300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X4,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21402,c_21737]) ).
tcf(c_74302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22325,c_21737]) ).
tcf(c_74303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23285,c_21737]) ).
tcf(c_74304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_21737]) ).
tcf(c_74305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_21737]) ).
tcf(c_74306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X6,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X6,X5,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_21737]) ).
tcf(c_74307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X6,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X6,X5,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_21737]) ).
tcf(c_74308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X6,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X6,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_21737]) ).
tcf(c_74311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6607,c_21737]) ).
tcf(c_74312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21364,c_21737]) ).
tcf(c_74313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21375,c_21737]) ).
tcf(c_74314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Oinverse(X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X2,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Oinverse(X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21402,c_21737]) ).
tcf(c_74316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X2,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22325,c_21737]) ).
tcf(c_74317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23285,c_21737]) ).
tcf(c_74318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oinverse__class_Odivide(X2,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_21737]) ).
tcf(c_74319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X5,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_21737]) ).
tcf(c_74320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X6,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X6,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_21737]) ).
tcf(c_74321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X5,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X6,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X6,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_21737]) ).
tcf(c_74322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X6,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X6,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_21737]) ).
tcf(c_74323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_21737,c_37737]) ).
tcf(c_74324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X5,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21737,c_27309]) ).
tcf(c_74325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_21737,c_21480]) ).
tcf(c_74326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_21737,c_25280]) ).
tcf(c_74327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_21737,c_22511]) ).
tcf(c_74329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X5,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21737,c_27310]) ).
tcf(c_74330,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X6,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X6,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21737,c_51676]) ).
tcf(c_74331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21737,c_21433]) ).
tcf(c_74332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_21737,c_37729]) ).
tcf(c_74333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X5,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21737,c_25978]) ).
tcf(c_74334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21737,c_31200]) ).
tcf(c_74335,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21737,c_28254]) ).
tcf(c_74336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21737,c_26442]) ).
tcf(c_74337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_21737,c_37766]) ).
tcf(c_74338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_21737,c_54879]) ).
tcf(c_74339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X6,c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),X6,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21737,c_21538]) ).
tcf(c_74340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21737,c_46027]) ).
tcf(c_74341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_21737,c_37981]) ).
tcf(c_74342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21737,c_26412]) ).
tcf(c_74343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_21737,c_21994]) ).
tcf(c_74344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_21737,c_21989]) ).
tcf(c_74345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21737,c_6746]) ).
tcf(c_74346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X6 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X6,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X5,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X5,X6,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21737,c_6731]) ).
tcf(c_74347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_21737,c_22663]) ).
tcf(c_74348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21737,c_6701]) ).
tcf(c_74349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21737,c_6613]) ).
tcf(c_74350,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_21737,c_21441]) ).
tcf(c_74351,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21737,c_6552]) ).
tcf(c_74352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21737,c_6543]) ).
tcf(c_74353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_21737,c_25996]) ).
tcf(c_74354,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_21737,c_37981]) ).
tcf(c_74355,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21737,c_6701]) ).
tcf(c_74356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21737,c_6613]) ).
tcf(c_74357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X6 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X6,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X6,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X6,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21737,c_60829]) ).
tcf(c_74358,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21737,c_21540]) ).
tcf(c_74359,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21737,c_38230]) ).
tcf(c_74360,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_21737,c_22666]) ).
tcf(c_74361,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_21737,c_21442]) ).
tcf(c_74362,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X5,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X6,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X6,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21737,c_51676]) ).
tcf(c_74363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,c_HOL_Otimes__class_Otimes(X6,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_21737,c_28241]) ).
tcf(c_74364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X5,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X6,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X6,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21737,c_21544]) ).
tcf(c_74365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_21737,c_54879]) ).
tcf(c_74366,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_21737,c_37766]) ).
tcf(c_74367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_21737,c_46030]) ).
tcf(c_74368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_21737,c_25276]) ).
tcf(c_74369,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X5,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_21737,c_22444]) ).
tcf(c_74370,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X5,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X6,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X6,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21737,c_65613]) ).
tcf(c_74371,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_21737,c_46090]) ).
tcf(c_74372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X4,X5,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21737,c_56918]) ).
tcf(c_74373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21737,c_69238]) ).
tcf(c_74432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_74278,c_46053]) ).
tcf(c_74433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_74432,c_6631]) ).
tcf(c_74497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_74298,c_46055]) ).
tcf(c_74501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_74284,c_46094]) ).
tcf(c_74512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_74344,c_60102]) ).
tcf(c_74516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_74343,c_60102]) ).
tcf(c_74563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X4,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X4,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Oinverse(X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_74297,c_46060]) ).
tcf(c_74567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X0,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_74283,c_46097]) ).
tcf(c_74576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_74303,c_46113]) ).
tcf(c_74580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_74289,c_46102]) ).
tcf(c_74584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_74358,c_10640]) ).
tcf(c_74641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X5,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X6,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X6,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_74370,c_10640,c_38490]) ).
tcf(c_74647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X6 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X5,X6,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X6,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X6,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_74357,c_10640]) ).
tcf(c_75051,plain,
! [X0: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_1105,c_33120]) ).
tcf(c_75052,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X2,tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_919,c_33120]) ).
tcf(c_75053,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_918,c_33120]) ).
tcf(c_75054,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_999,c_33120]) ).
tcf(c_75055,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_998,c_33120]) ).
tcf(c_75059,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_5328,c_33120]) ).
tcf(c_75060,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_5328,c_33120]) ).
tcf(c_75064,plain,
! [X0: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(light_normalisation,[status(thm)],[c_75051,c_1128]) ).
tcf(c_75076,plain,
! [X0: $i] : c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_1104,c_33191]) ).
tcf(c_75077,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_919,c_33191]) ).
tcf(c_75078,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_918,c_33191]) ).
tcf(c_75079,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_999,c_33191]) ).
tcf(c_75080,plain,
! [X0: $i,X1: $i,X2: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat),tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_998,c_33191]) ).
tcf(c_75082,plain,
! [X0: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_996,c_33191]) ).
tcf(c_75084,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_5328,c_33191]) ).
tcf(c_75085,plain,
! [X0: $i,X1: $i] : c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(superposition,[status(thm)],[c_5328,c_33191]) ).
tcf(c_75097,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_32033,c_32620]) ).
tcf(c_75099,plain,
! [X0: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_32349,c_32620]) ).
tcf(c_75105,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_919,c_33012]) ).
tcf(c_75106,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_918,c_33012]) ).
tcf(c_75107,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_999,c_33012]) ).
tcf(c_75108,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_998,c_33012]) ).
tcf(c_75112,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_33012]) ).
tcf(c_75113,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_5328,c_33012]) ).
tcf(c_75114,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),X1,tc_nat) ),
inference(superposition,[status(thm)],[c_33012,c_1191]) ).
tcf(c_75116,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_nat),c_HOL_Ouminus__class_Ouminus(X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_33012,c_1265]) ).
tcf(c_75118,plain,
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_33012,c_1182]) ).
tcf(c_75121,plain,
! [X0: $i,X1: $i] :
( ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),tc_nat),tc_nat),tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_33012,c_12546]) ).
tcf(c_75122,plain,
! [X0: $i] :
( ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_33012,c_12548]) ).
tcf(c_75123,plain,
! [X0: $i] :
( ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_33012,c_28109]) ).
tcf(c_75124,plain,
! [X0: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_33012,c_27378]) ).
tcf(c_75125,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_33012,c_26394]) ).
tcf(c_75126,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_33012,c_26574]) ).
tcf(c_75127,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_33012,c_26415]) ).
tcf(c_75128,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(superposition,[status(thm)],[c_33012,c_31859]) ).
tcf(c_75145,plain,
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75118,c_1131]) ).
tcf(c_75152,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),tc_nat),X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75114,c_1131]) ).
tcf(c_75191,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6543,c_33421]) ).
tcf(c_75192,plain,
! [X0: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21455,c_33421]) ).
tcf(c_75193,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_21461,c_33421]) ).
tcf(c_75194,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_60094,c_33421]) ).
tcf(c_75195,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_25368,c_33421]) ).
tcf(c_75198,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33421,c_1052]) ).
tcf(c_75199,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33421,c_1051]) ).
tcf(c_75201,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33421,c_1172]) ).
tcf(c_75203,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33421,c_26336]) ).
tcf(c_75204,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33421,c_1168]) ).
tcf(c_75206,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33421,c_1052]) ).
tcf(c_75207,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33421,c_1049]) ).
tcf(c_75208,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33421,c_1170]) ).
tcf(c_75209,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X1,X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_1047]) ).
tcf(c_75210,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X1,X1,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_1047]) ).
tcf(c_75211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_1364]) ).
tcf(c_75212,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33421,c_26335]) ).
tcf(c_75215,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33421,c_1054]) ).
tcf(c_75217,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33421,c_1054]) ).
tcf(c_75218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33421,c_1176]) ).
tcf(c_75219,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33421,c_1051]) ).
tcf(c_75220,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33421,c_1050]) ).
tcf(c_75221,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33421,c_1050]) ).
tcf(c_75222,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33421,c_1171]) ).
tcf(c_75223,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33421,c_1049]) ).
tcf(c_75224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) = X0 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_1355]) ).
tcf(c_75225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = X2 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_1355]) ).
tcf(c_75226,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33421,c_31206]) ).
tcf(c_75227,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33421,c_31203]) ).
tcf(c_75228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_72317]) ).
tcf(c_75229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_69238]) ).
tcf(c_75230,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_67594]) ).
tcf(c_75232,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33421,c_26448]) ).
tcf(c_75233,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_60094]) ).
tcf(c_75235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_56918]) ).
tcf(c_75237,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_38021]) ).
tcf(c_75238,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_38020]) ).
tcf(c_75239,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_37756]) ).
tcf(c_75240,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_37755]) ).
tcf(c_75242,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_37737]) ).
tcf(c_75243,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33421,c_33538]) ).
tcf(c_75244,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_38577]) ).
tcf(c_75245,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_37729]) ).
tcf(c_75246,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_10640]) ).
tcf(c_75247,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33421,c_26571]) ).
tcf(c_75249,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_24284]) ).
tcf(c_75250,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_24064]) ).
tcf(c_75252,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_22643]) ).
tcf(c_75256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_6683]) ).
tcf(c_75257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_6619]) ).
tcf(c_75259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33421,c_1176]) ).
tcf(c_75260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_21737]) ).
tcf(c_75261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_65613]) ).
tcf(c_75262,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33421,c_26309]) ).
tcf(c_75263,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_62639]) ).
tcf(c_75264,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_37766]) ).
tcf(c_75265,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_37756]) ).
tcf(c_75266,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_12533]) ).
tcf(c_75267,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_12528]) ).
tcf(c_75268,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33421,c_25975]) ).
tcf(c_75269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_21737]) ).
tcf(c_75270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_72317]) ).
tcf(c_75271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_69238]) ).
tcf(c_75272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_60829]) ).
tcf(c_75273,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_6716]) ).
tcf(c_75274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_6683]) ).
tcf(c_75275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_6619]) ).
tcf(c_75276,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_38021]) ).
tcf(c_75277,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_37817]) ).
tcf(c_75278,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_46030]) ).
tcf(c_75279,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33421,c_26744]) ).
tcf(c_75280,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_24895]) ).
tcf(c_75281,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_22513]) ).
tcf(c_75282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_70982]) ).
tcf(c_75283,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_67594]) ).
tcf(c_75284,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_63656]) ).
tcf(c_75285,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33421,c_25984]) ).
tcf(c_75286,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_54879]) ).
tcf(c_75287,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_37755]) ).
tcf(c_75288,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33421,c_26303]) ).
tcf(c_75289,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_6607]) ).
tcf(c_75290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ouminus__class_Ouminus(X4,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X4,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_21737]) ).
tcf(c_75291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X4,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_69238]) ).
tcf(c_75292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_6683]) ).
tcf(c_75293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_6619]) ).
tcf(c_75294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_26438]) ).
tcf(c_75296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_51676]) ).
tcf(c_75297,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_37729]) ).
tcf(c_75298,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_37981]) ).
tcf(c_75300,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_59232]) ).
tcf(c_75301,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_54192]) ).
tcf(c_75302,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33421,c_32788]) ).
tcf(c_75303,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_33421,c_38229]) ).
tcf(c_75306,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_22325]) ).
tcf(c_75308,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_62639]) ).
tcf(c_75309,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_38020]) ).
tcf(c_75310,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_37816]) ).
tcf(c_75312,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33421,c_26741]) ).
tcf(c_75313,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_24866]) ).
tcf(c_75315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_70982]) ).
tcf(c_75317,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_37737]) ).
tcf(c_75320,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_25276]) ).
tcf(c_75322,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_59232]) ).
tcf(c_75323,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_38020]) ).
tcf(c_75326,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_37756]) ).
tcf(c_75327,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_38021]) ).
tcf(c_75330,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_24002]) ).
tcf(c_75332,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_33421,c_31209]) ).
tcf(c_75333,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_24284]) ).
tcf(c_75334,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_24064]) ).
tcf(c_75335,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_24023]) ).
tcf(c_75339,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_25742]) ).
tcf(c_75341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_26438]) ).
tcf(c_75344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_26595]) ).
tcf(c_75346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_28241]) ).
tcf(c_75347,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_30252]) ).
tcf(c_75348,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_33421,c_37755]) ).
tcf(c_75350,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_63656]) ).
tcf(c_75351,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_60829]) ).
tcf(c_75352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_65613]) ).
tcf(c_75353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_70982]) ).
tcf(c_75354,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_72317]) ).
tcf(c_75362,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_75334,c_33421]) ).
tcf(c_75363,plain,
! [X0: $i,X1: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_75333,c_33421]) ).
tcf(c_75373,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_75278,c_32620]) ).
tcf(c_75382,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_75348,c_33421]) ).
tcf(c_75383,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_75326,c_33421]) ).
tcf(c_75386,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_75298,c_10416]) ).
tcf(c_75387,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_75297,c_33421]) ).
tcf(c_75390,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_75276,c_33421]) ).
tcf(c_75398,plain,
! [X0: $i,X1: $i,X2: $i] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[c_75203,c_964]) ).
tcf(c_75401,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_75246,c_32620,c_60180]) ).
tcf(c_75408,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75223,c_1046]) ).
tcf(c_75411,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75221,c_1046]) ).
tcf(c_75414,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75220,c_1046]) ).
tcf(c_75417,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75207,c_1046]) ).
tcf(c_75422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75259,c_964]) ).
tcf(c_75426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75218,c_964]) ).
tcf(c_75430,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75206,c_1046]) ).
tcf(c_75434,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75198,c_1046]) ).
tcf(c_75438,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_75267,c_60118]) ).
tcf(c_75441,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_75266,c_60118]) ).
tcf(c_75444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_75296,c_33421]) ).
tcf(c_75445,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_75219,c_33421]) ).
tcf(c_75446,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75445,c_1046]) ).
tcf(c_75450,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75199,c_1046]) ).
tcf(c_75460,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = X1 )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,X0,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X1,X1,tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_75210,c_21461]) ).
tcf(c_75461,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,X0,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X1,X1,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75460,c_1046]) ).
tcf(c_75465,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,X0,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X1,X1,tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_75209,c_21461]) ).
tcf(c_75466,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,X0,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X1,X1,tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75465,c_1046]) ).
tcf(c_75474,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_75263,c_60118]) ).
tcf(c_75478,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_75230,c_60141]) ).
tcf(c_75482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75211,c_1350,c_1046]) ).
tcf(c_75486,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_75308,c_60118]) ).
tcf(c_75505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = X2 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_75225,c_33421]) ).
tcf(c_75506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75505,c_1350,c_1046]) ).
tcf(c_75510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75224,c_1350,c_1046]) ).
tcf(c_75541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_75352,c_32620,c_33421]) ).
tcf(c_75545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_75351,c_32620]) ).
tcf(c_75970,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X1,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_34306,c_1191]) ).
tcf(c_75973,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_34306,c_31074]) ).
tcf(c_75974,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_34306,c_1182]) ).
tcf(c_75975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_34306,c_1052]) ).
tcf(c_75976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_34306,c_1051]) ).
tcf(c_75979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34306,c_31200]) ).
tcf(c_75980,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34306,c_28254]) ).
tcf(c_75981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34306,c_26442]) ).
tcf(c_75982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34306,c_26412]) ).
tcf(c_75984,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34306,c_27317]) ).
tcf(c_75985,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34306,c_27279]) ).
tcf(c_75986,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34306,c_42079]) ).
tcf(c_75987,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34306,c_24659]) ).
tcf(c_75989,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34306,c_24488]) ).
tcf(c_75995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34306,c_31206]) ).
tcf(c_75996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34306,c_31203]) ).
tcf(c_75997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34306,c_26599]) ).
tcf(c_75998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34306,c_26448]) ).
tcf(c_75999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34306,c_26571]) ).
tcf(c_76000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34306,c_26409]) ).
tcf(c_76002,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34306,c_27397]) ).
tcf(c_76003,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34306,c_29062]) ).
tcf(c_76004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_34306,c_31209]) ).
tcf(c_76038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X1,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75970,c_964]) ).
tcf(c_76042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75976,c_1046]) ).
tcf(c_76046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75975,c_1046]) ).
tcf(c_76051,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(demodulation,[status(thm)],[c_21757,c_21364]) ).
tcf(c_76062,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_21849,c_36354]) ).
tcf(c_76063,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_993,c_36354]) ).
tcf(c_76065,plain,
! [X0: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_903,c_36354]) ).
tcf(c_76066,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_915,c_36354]) ).
tcf(c_76068,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1128,c_36354]) ).
tcf(c_76069,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_36354]) ).
tcf(c_76071,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_36354]) ).
tcf(c_76072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X3,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_36354]) ).
tcf(c_76073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_36354]) ).
tcf(c_76075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_36354]) ).
tcf(c_76076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X3,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_36354]) ).
tcf(c_76078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),X4,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_36354]) ).
tcf(c_76079,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_996,c_36354]) ).
tcf(c_76080,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_994,c_36354]) ).
tcf(c_76081,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_36354]) ).
tcf(c_76082,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_36354]) ).
tcf(c_76083,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_36354]) ).
tcf(c_76084,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_902,c_36354]) ).
tcf(c_76085,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_903,c_36354]) ).
tcf(c_76086,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_915,c_36354]) ).
tcf(c_76088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),X3,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_36354]) ).
tcf(c_76090,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_1128,c_36354]) ).
tcf(c_76091,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_36354]) ).
tcf(c_76092,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_36354]) ).
tcf(c_76094,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_76085,c_36397]) ).
tcf(c_76095,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_76084,c_996]) ).
tcf(c_76097,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_76082,c_27577]) ).
tcf(c_76098,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_76071,c_27577]) ).
tcf(c_76126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_35632,c_1191]) ).
tcf(c_76128,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_35632,c_1265]) ).
tcf(c_76129,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_35632,c_31074]) ).
tcf(c_76130,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_35632,c_1182]) ).
tcf(c_76131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_35632,c_1052]) ).
tcf(c_76132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_35632,c_1051]) ).
tcf(c_76133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_35632,c_1173]) ).
tcf(c_76134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_35632,c_1172]) ).
tcf(c_76135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35632,c_31200]) ).
tcf(c_76136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35632,c_28254]) ).
tcf(c_76137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35632,c_26442]) ).
tcf(c_76138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35632,c_26412]) ).
tcf(c_76140,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35632,c_27317]) ).
tcf(c_76141,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35632,c_27279]) ).
tcf(c_76142,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35632,c_42079]) ).
tcf(c_76143,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35632,c_24659]) ).
tcf(c_76145,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35632,c_24488]) ).
tcf(c_76151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35632,c_31206]) ).
tcf(c_76152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35632,c_31203]) ).
tcf(c_76153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35632,c_26599]) ).
tcf(c_76154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35632,c_26448]) ).
tcf(c_76155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35632,c_26571]) ).
tcf(c_76156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35632,c_26409]) ).
tcf(c_76158,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35632,c_27397]) ).
tcf(c_76159,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35632,c_29062]) ).
tcf(c_76160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35632,c_31209]) ).
tcf(c_76162,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_76158,c_32620]) ).
tcf(c_76166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_76156,c_10640,c_60463]) ).
tcf(c_76169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_76155,c_10640,c_60463]) ).
tcf(c_76174,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_76145,c_32620]) ).
tcf(c_76179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_76160,c_75401]) ).
tcf(c_76182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_76154,c_10640,c_60463]) ).
tcf(c_76185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_76153,c_10640,c_60463]) ).
tcf(c_76188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_76152,c_10640,c_60463]) ).
tcf(c_76191,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_76151,c_10640,c_60463]) ).
tcf(c_76196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_76137,c_6552]) ).
tcf(c_76197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_76196,c_60525]) ).
tcf(c_76205,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_76128,c_32620]) ).
tcf(c_76207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_76134,c_10640,c_60463]) ).
tcf(c_76209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_76133,c_10640,c_60463]) ).
tcf(c_76211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76126,c_964]) ).
tcf(c_76215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_76132,c_10640,c_60463]) ).
tcf(c_76216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76215,c_1046]) ).
tcf(c_76220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(light_normalisation,[status(thm)],[c_76131,c_10640,c_60463]) ).
tcf(c_76221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76220,c_1046]) ).
tcf(c_76229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_35853,c_1191]) ).
tcf(c_76232,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_35853,c_31074]) ).
tcf(c_76233,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_35853,c_1182]) ).
tcf(c_76234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_35853,c_1052]) ).
tcf(c_76235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_35853,c_1051]) ).
tcf(c_76238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35853,c_31200]) ).
tcf(c_76239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35853,c_28254]) ).
tcf(c_76240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35853,c_26442]) ).
tcf(c_76241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35853,c_26412]) ).
tcf(c_76243,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35853,c_27317]) ).
tcf(c_76244,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35853,c_27279]) ).
tcf(c_76245,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35853,c_42079]) ).
tcf(c_76246,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35853,c_24659]) ).
tcf(c_76248,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35853,c_24488]) ).
tcf(c_76254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35853,c_31206]) ).
tcf(c_76255,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35853,c_31203]) ).
tcf(c_76256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35853,c_26599]) ).
tcf(c_76257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35853,c_26448]) ).
tcf(c_76258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35853,c_26571]) ).
tcf(c_76259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35853,c_26409]) ).
tcf(c_76261,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35853,c_27397]) ).
tcf(c_76262,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35853,c_29062]) ).
tcf(c_76263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_35853,c_31209]) ).
tcf(c_76272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_76241,c_47910]) ).
tcf(c_76291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_76240,c_47910]) ).
tcf(c_76294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_76239,c_47910]) ).
tcf(c_76297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_76238,c_47910]) ).
tcf(c_76301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X3,X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76229,c_964]) ).
tcf(c_76305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76235,c_1046]) ).
tcf(c_76309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76234,c_1046]) ).
tcf(c_76316,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_21849,c_36355]) ).
tcf(c_76317,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_993,c_36355]) ).
tcf(c_76320,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_915,c_36355]) ).
tcf(c_76322,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1128,c_36355]) ).
tcf(c_76323,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_36355]) ).
tcf(c_76325,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_36355]) ).
tcf(c_76326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X3,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_36355]) ).
tcf(c_76327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_36355]) ).
tcf(c_76329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X3,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_36355]) ).
tcf(c_76330,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X3,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_36355]) ).
tcf(c_76332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),X4,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X4,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_36355]) ).
tcf(c_76336,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_36355]) ).
tcf(c_76338,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_902,c_36355]) ).
tcf(c_76340,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_915,c_36355]) ).
tcf(c_76342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_36355]) ).
tcf(c_76344,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_1128,c_36355]) ).
tcf(c_76345,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_36355]) ).
tcf(c_76346,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_36355]) ).
tcf(c_76362,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_21849,c_36627]) ).
tcf(c_76363,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ) ),
inference(superposition,[status(thm)],[c_993,c_36627]) ).
tcf(c_76365,plain,
! [X0: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_902,c_36627]) ).
tcf(c_76368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_36627]) ).
tcf(c_76369,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1129,c_36627]) ).
tcf(c_76370,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_36627]) ).
tcf(c_76372,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_36627]) ).
tcf(c_76373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_36627]) ).
tcf(c_76374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_36627]) ).
tcf(c_76376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_36627]) ).
tcf(c_76377,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_36627]) ).
tcf(c_76379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X4,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_36627]) ).
tcf(c_76380,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_996,c_36627]) ).
tcf(c_76382,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_36627]) ).
tcf(c_76383,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_36627]) ).
tcf(c_76384,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_5328,c_36627]) ).
tcf(c_76385,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_902,c_36627]) ).
tcf(c_76386,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_903,c_36627]) ).
tcf(c_76389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_36627]) ).
tcf(c_76390,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_1129,c_36627]) ).
tcf(c_76392,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_36627]) ).
tcf(c_76393,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_36627]) ).
tcf(c_76480,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_21849,c_36628]) ).
tcf(c_76481,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat)
| ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_993,c_36628]) ).
tcf(c_76486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_36628]) ).
tcf(c_76487,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1129,c_36628]) ).
tcf(c_76488,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_36628]) ).
tcf(c_76491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_919,c_36628]) ).
tcf(c_76492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_918,c_36628]) ).
tcf(c_76494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_999,c_36628]) ).
tcf(c_76495,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_998,c_36628]) ).
tcf(c_76497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_911,c_36628]) ).
tcf(c_76501,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_36628]) ).
tcf(c_76504,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_903,c_36628]) ).
tcf(c_76507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_920,c_36628]) ).
tcf(c_76508,plain,
! [X0: $i,X1: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),X0,tc_nat),
inference(superposition,[status(thm)],[c_1129,c_36628]) ).
tcf(c_76510,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1104,c_36628]) ).
tcf(c_76511,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_1105,c_36628]) ).
tcf(c_76513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),tc_nat),
inference(light_normalisation,[status(thm)],[c_76486,c_27577]) ).
tcf(c_76557,plain,
! [X0: $i] : c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_nat)))) = X0,
inference(superposition,[status(thm)],[c_1131,c_40025]) ).
tcf(c_76558,plain,
! [X0: $i] : c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))) = X0,
inference(superposition,[status(thm)],[c_964,c_40025]) ).
tcf(c_76559,plain,
! [X0: $i,X1: $i] :
( ( c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Polynomial_Opoly(X0))))) = X1 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(superposition,[status(thm)],[c_1008,c_40025]) ).
tcf(c_76565,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_nat)))),tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_nat))))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_nat))))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_nat)))) ),
inference(superposition,[status(thm)],[c_76557,c_943]) ).
tcf(c_76566,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_nat))))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_nat))))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_76557,c_947]) ).
tcf(c_76567,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_nat)))),X1,tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_nat))))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_nat))))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_nat)))) ),
inference(superposition,[status(thm)],[c_76557,c_943]) ).
tcf(c_76568,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_nat))))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_nat)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76566,c_21174]) ).
tcf(c_76577,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))) ),
inference(superposition,[status(thm)],[c_76558,c_943]) ).
tcf(c_76578,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_76558,c_947]) ).
tcf(c_76579,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),X1,tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))) ),
inference(superposition,[status(thm)],[c_76558,c_943]) ).
tcf(c_76580,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76578,c_21174]) ).
tcf(c_76589,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(demodulation,[status(thm)],[c_38232,c_6543]) ).
tcf(c_76596,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6648,c_76589]) ).
tcf(c_76598,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10416,c_76589]) ).
tcf(c_76599,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21250,c_76589]) ).
tcf(c_76601,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_46027,c_76589]) ).
tcf(c_76602,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_58331,c_76589]) ).
tcf(c_76603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_56918,c_76589]) ).
tcf(c_76604,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_58331,c_76589]) ).
tcf(c_76605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_56918,c_76589]) ).
tcf(c_76606,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6543,c_76589]) ).
tcf(c_76608,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21461,c_76589]) ).
tcf(c_76609,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60094,c_76589]) ).
tcf(c_76610,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_25368,c_76589]) ).
tcf(c_76611,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_76589,c_1191]) ).
tcf(c_76615,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_76589,c_26442]) ).
tcf(c_76617,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_76589,c_24550]) ).
tcf(c_76620,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_76589,c_25993]) ).
tcf(c_76632,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_76598,c_21461]) ).
tcf(c_76637,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76611,c_964]) ).
tcf(c_76645,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_76601,c_6543]) ).
tcf(c_76718,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6415,c_38572]) ).
tcf(c_76720,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6648,c_38572]) ).
tcf(c_76723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6619,c_38572]) ).
tcf(c_76724,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6631,c_38572]) ).
tcf(c_76727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6683,c_38572]) ).
tcf(c_76728,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10416,c_38572]) ).
tcf(c_76730,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21250,c_38572]) ).
tcf(c_76732,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21433,c_38572]) ).
tcf(c_76733,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22175,c_38572]) ).
tcf(c_76734,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21435,c_38572]) ).
tcf(c_76735,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_46027,c_38572]) ).
tcf(c_76736,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_58331,c_38572]) ).
tcf(c_76737,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_62639,c_38572]) ).
tcf(c_76738,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_67594,c_38572]) ).
tcf(c_76739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21737,c_38572]) ).
tcf(c_76740,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22183,c_38572]) ).
tcf(c_76741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_56918,c_38572]) ).
tcf(c_76742,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_58331,c_38572]) ).
tcf(c_76743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_56918,c_38572]) ).
tcf(c_76744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_69238,c_38572]) ).
tcf(c_76745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_72317,c_38572]) ).
tcf(c_76746,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38572,c_1191]) ).
tcf(c_76748,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38572,c_31200]) ).
tcf(c_76749,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38572,c_28254]) ).
tcf(c_76750,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38572,c_26442]) ).
tcf(c_76751,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38572,c_26412]) ).
tcf(c_76752,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38572,c_24550]) ).
tcf(c_76753,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38572,c_24485]) ).
tcf(c_76754,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38572,c_25968]) ).
tcf(c_76755,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38572,c_25993]) ).
tcf(c_76775,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_76732,c_6552]) ).
tcf(c_76778,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76746,c_964]) ).
tcf(c_76786,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_76718,c_10735]) ).
tcf(c_76795,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_76738,c_10640]) ).
tcf(c_76800,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_76737,c_10640]) ).
tcf(c_76805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_76727,c_10640]) ).
tcf(c_76810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_76723,c_10640]) ).
tcf(c_76815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_76745,c_75401]) ).
tcf(c_76820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_76744,c_10640]) ).
tcf(c_76825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X4,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X4,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_76739,c_10640]) ).
tcf(c_76875,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10640,c_76750]) ).
tcf(c_76876,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6552,c_76750]) ).
tcf(c_76878,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10735,c_76750]) ).
tcf(c_76879,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21346,c_76750]) ).
tcf(c_76880,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_32620,c_76750]) ).
tcf(c_76881,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_76750,c_1191]) ).
tcf(c_76883,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_76750,c_24550]) ).
tcf(c_76886,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_76750,c_25993]) ).
tcf(c_76892,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_76880,c_32620]) ).
tcf(c_76895,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_76876,c_6552]) ).
tcf(c_76898,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_76878,c_10735]) ).
tcf(c_76901,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_76875,c_10640]) ).
tcf(c_76904,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76881,c_964]) ).
tcf(c_76960,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6415,c_38575]) ).
tcf(c_76961,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6492,c_38575]) ).
tcf(c_76962,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6648,c_38575]) ).
tcf(c_76963,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_38575]) ).
tcf(c_76964,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_38575]) ).
tcf(c_76965,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6619,c_38575]) ).
tcf(c_76967,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_12519,c_38575]) ).
tcf(c_76968,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6654,c_38575]) ).
tcf(c_76969,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6683,c_38575]) ).
tcf(c_76970,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_10416,c_38575]) ).
tcf(c_76972,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21250,c_38575]) ).
tcf(c_76973,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_21253,c_38575]) ).
tcf(c_76974,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_21433,c_38575]) ).
tcf(c_76975,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_22175,c_38575]) ).
tcf(c_76976,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_21435,c_38575]) ).
tcf(c_76977,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_46027,c_38575]) ).
tcf(c_76978,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_58331,c_38575]) ).
tcf(c_76979,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_62639,c_38575]) ).
tcf(c_76980,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_67594,c_38575]) ).
tcf(c_76981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X4,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X4 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21737,c_38575]) ).
tcf(c_76982,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_22183,c_38575]) ).
tcf(c_76983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_56918,c_38575]) ).
tcf(c_76984,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_58331,c_38575]) ).
tcf(c_76985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_56918,c_38575]) ).
tcf(c_76986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_69238,c_38575]) ).
tcf(c_76987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_72317,c_38575]) ).
tcf(c_76988,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6432,c_38575]) ).
tcf(c_76989,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_10640,c_38575]) ).
tcf(c_76990,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6552,c_38575]) ).
tcf(c_76991,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6559,c_38575]) ).
tcf(c_76992,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_10735,c_38575]) ).
tcf(c_76993,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_21346,c_38575]) ).
tcf(c_76994,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_32620,c_38575]) ).
tcf(c_76995,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38575,c_1191]) ).
tcf(c_76996,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38575,c_31200]) ).
tcf(c_76997,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38575,c_28254]) ).
tcf(c_76998,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38575,c_26442]) ).
tcf(c_76999,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_38575,c_26412]) ).
tcf(c_77019,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_76990,c_22173]) ).
tcf(c_77034,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76995,c_964]) ).
tcf(c_77169,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(demodulation,[status(thm)],[c_38584,c_33421]) ).
tcf(c_77179,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_21402,c_77169]) ).
tcf(c_77180,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_22325,c_77169]) ).
tcf(c_77181,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_33421,c_77169]) ).
tcf(c_77183,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6543,c_77169]) ).
tcf(c_77185,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21461,c_77169]) ).
tcf(c_77186,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60094,c_77169]) ).
tcf(c_77187,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_25368,c_77169]) ).
tcf(c_77188,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_77169,c_1191]) ).
tcf(c_77193,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_77169,c_24550]) ).
tcf(c_77194,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_77169,c_24485]) ).
tcf(c_77195,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_77169,c_25968]) ).
tcf(c_77196,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_77169,c_25993]) ).
tcf(c_77211,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_77179,c_10416]) ).
tcf(c_77218,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_77181,c_21461]) ).
tcf(c_77227,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77188,c_964]) ).
tcf(c_77288,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6607,c_38623]) ).
tcf(c_77289,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21364,c_38623]) ).
tcf(c_77291,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21402,c_38623]) ).
tcf(c_77294,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_38623]) ).
tcf(c_77295,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_23285,c_38623]) ).
tcf(c_77296,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_38623]) ).
tcf(c_77297,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_38623]) ).
tcf(c_77298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_38623]) ).
tcf(c_77299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X3,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_38623]) ).
tcf(c_77301,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38623,c_1191]) ).
tcf(c_77304,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38623,c_1173]) ).
tcf(c_77306,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38623,c_24550]) ).
tcf(c_77307,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38623,c_24485]) ).
tcf(c_77308,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38623,c_25968]) ).
tcf(c_77309,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38623,c_25993]) ).
tcf(c_77328,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(light_normalisation,[status(thm)],[c_77294,c_32620]) ).
tcf(c_77335,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77301,c_964]) ).
tcf(c_77385,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_33421,c_38624]) ).
tcf(c_77387,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38172,c_38624]) ).
tcf(c_77388,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_63656,c_38624]) ).
tcf(c_77389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X3,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60829,c_38624]) ).
tcf(c_77390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 )
| ( c_HOL_Oinverse__class_Oinverse(X3,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_65613,c_38624]) ).
tcf(c_77391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X3 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_70982,c_38624]) ).
tcf(c_77392,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_38624,c_1191]) ).
tcf(c_77397,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38624,c_24550]) ).
tcf(c_77398,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38624,c_24485]) ).
tcf(c_77399,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38624,c_25968]) ).
tcf(c_77400,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_38624,c_25993]) ).
tcf(c_77417,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77392,c_964]) ).
tcf(c_77459,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(demodulation,[status(thm)],[c_38628,c_10416]) ).
tcf(c_77466,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_6648,c_77459]) ).
tcf(c_77467,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12533,c_77459]) ).
tcf(c_77468,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12528,c_77459]) ).
tcf(c_77470,plain,
! [X0: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_12519,c_77459]) ).
tcf(c_77471,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_10416,c_77459]) ).
tcf(c_77473,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21250,c_77459]) ).
tcf(c_77475,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_46027,c_77459]) ).
tcf(c_77476,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_58331,c_77459]) ).
tcf(c_77477,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_22183,c_77459]) ).
tcf(c_77478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_56918,c_77459]) ).
tcf(c_77479,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_58331,c_77459]) ).
tcf(c_77480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_56918,c_77459]) ).
tcf(c_77481,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_6543,c_77459]) ).
tcf(c_77483,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_21461,c_77459]) ).
tcf(c_77484,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_60094,c_77459]) ).
tcf(c_77485,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ominus__class_Ominus(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ( c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_25368,c_77459]) ).
tcf(c_77486,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_77459,c_1191]) ).
tcf(c_77492,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_77459,c_24550]) ).
tcf(c_77493,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_77459,c_24485]) ).
tcf(c_77494,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_77459,c_25968]) ).
tcf(c_77495,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(superposition,[status(thm)],[c_77459,c_25993]) ).
tcf(c_77507,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_77477,c_32620]) ).
tcf(c_77510,plain,
! [X0: $i,X1: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_77471,c_21461]) ).
tcf(c_77521,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X2 )
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77486,c_964]) ).
tcf(c_77750,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_77521,c_77510,c_77507,c_77495,c_77494,c_77493,c_77492,c_77486,c_77485,c_77484,c_77483,c_77481,c_77480,c_77479,c_77478,c_77476,c_77475,c_77473,c_77477,c_77471,c_77470,c_77468,c_77467,c_77466,c_77459,c_77417,c_77400,c_77399,c_77398,c_77397,c_77392,c_77391,c_77390,c_77389,c_77388,c_77387,c_77385,c_77335,c_77328,c_77309,c_77308,c_77307,c_77306,c_77304,c_77301,c_77299,c_77298,c_77297,c_77296,c_77295,c_77294,c_77291,c_77289,c_77288,c_77227,c_77218,c_77211,c_77196,c_77195,c_77194,c_77193,c_77188,c_77187,c_77186,c_77185,c_77183,c_77181,c_77179,c_77180,c_77169,c_77034,c_77019,c_76999,c_76998,c_76997,c_76996,c_76995,c_76994,c_76993,c_76992,c_76991,c_76990,c_76989,c_76988,c_76987,c_76986,c_76985,c_76984,c_76983,c_76981,c_76980,c_76979,c_76978,c_76977,c_76976,c_76975,c_76974,c_76973,c_76972,c_76982,c_76970,c_76969,c_76968,c_76967,c_76965,c_76964,c_76963,c_76962,c_76961,c_76960,c_76904,c_76901,c_76898,c_76895,c_76892,c_76886,c_76883,c_76881,c_76880,c_76879,c_76878,c_76876,c_76875,c_76825,c_76820,c_76815,c_76810,c_76805,c_76800,c_76795,c_76786,c_76778,c_76775,c_76755,c_76754,c_76753,c_76752,c_76751,c_76750,c_76749,c_76748,c_76746,c_76745,c_76744,c_76743,c_76742,c_76741,c_76739,c_76738,c_76737,c_76736,c_76735,c_76734,c_76733,c_76732,c_76730,c_76740,c_76728,c_76727,c_76724,c_76723,c_76720,c_76718,c_76645,c_76637,c_76632,c_76620,c_76617,c_76615,c_76611,c_76610,c_76609,c_76608,c_76606,c_76605,c_76604,c_76603,c_76602,c_76601,c_76599,c_76598,c_76596,c_76589,c_76580,c_76579,c_76578,c_76577,c_76568,c_76567,c_76566,c_76565,c_76559,c_76558,c_76557,c_76513,c_76511,c_76510,c_76508,c_76507,c_76504,c_76501,c_76497,c_76495,c_76494,c_76492,c_76491,c_76488,c_76487,c_76486,c_76481,c_76480,c_76393,c_76392,c_76390,c_76389,c_76386,c_76385,c_76384,c_76383,c_76382,c_76380,c_76379,c_76377,c_76376,c_76374,c_76373,c_76372,c_76370,c_76369,c_76368,c_76365,c_76363,c_76362,c_76346,c_76345,c_76344,c_76342,c_76340,c_76338,c_76336,c_76332,c_76330,c_76329,c_76327,c_76326,c_76325,c_76323,c_76322,c_76320,c_76317,c_76316,c_76309,c_76305,c_76301,c_76297,c_76294,c_76291,c_76272,c_76263,c_76259,c_76258,c_76257,c_76256,c_76255,c_76254,c_76261,c_76248,c_76262,c_76246,c_76245,c_76243,c_76244,c_76241,c_76240,c_76239,c_76238,c_76235,c_76234,c_76233,c_76232,c_76229,c_76221,c_76220,c_76216,c_76215,c_76211,c_76209,c_76207,c_76205,c_76197,c_76191,c_76188,c_76185,c_76182,c_76179,c_76174,c_76169,c_76166,c_76162,c_76160,c_76156,c_76155,c_76154,c_76153,c_76152,c_76151,c_76158,c_76145,c_76159,c_76143,c_76142,c_76140,c_76141,c_76138,c_76137,c_76136,c_76135,c_76134,c_76133,c_76132,c_76131,c_76130,c_76129,c_76128,c_76126,c_76098,c_76097,c_76095,c_76094,c_76092,c_76091,c_76090,c_76088,c_76086,c_76085,c_76084,c_76083,c_76082,c_76081,c_76080,c_76079,c_76078,c_76076,c_76075,c_76073,c_76072,c_76071,c_76069,c_76068,c_76066,c_76065,c_76063,c_76062,c_76051,c_76046,c_76042,c_76038,c_76004,c_76000,c_75999,c_75998,c_75997,c_75996,c_75995,c_76002,c_75989,c_76003,c_75987,c_75986,c_75984,c_75985,c_75982,c_75981,c_75980,c_75979,c_75976,c_75975,c_75974,c_75973,c_75970,c_75545,c_75541,c_75510,c_75506,c_75505,c_75486,c_75482,c_75478,c_75474,c_75466,c_75465,c_75461,c_75460,c_75450,c_75446,c_75445,c_75444,c_75441,c_75438,c_75434,c_75430,c_75426,c_75422,c_75417,c_75414,c_75411,c_75408,c_75401,c_75398,c_75390,c_75387,c_75386,c_75383,c_75382,c_75373,c_75363,c_75362,c_75354,c_75348,c_75347,c_75346,c_75344,c_75341,c_75339,c_75334,c_75333,c_75332,c_75327,c_75326,c_75323,c_75322,c_75320,c_75317,c_75315,c_75313,c_75312,c_75310,c_75309,c_75308,c_75335,c_75303,c_75302,c_75298,c_75297,c_75296,c_75294,c_75293,c_75292,c_75291,c_75290,c_75288,c_75287,c_75286,c_75285,c_75284,c_75283,c_75282,c_75281,c_75280,c_75279,c_75278,c_75277,c_75276,c_75275,c_75274,c_75272,c_75271,c_75270,c_75269,c_75268,c_75267,c_75266,c_75265,c_75264,c_75263,c_75262,c_75261,c_75260,c_75259,c_75257,c_75256,c_75273,c_75252,c_75330,c_75250,c_75249,c_75247,c_75246,c_75245,c_75244,c_75243,c_75242,c_75301,c_75240,c_75239,c_75238,c_75237,c_75235,c_75300,c_75233,c_75232,c_75230,c_75229,c_75228,c_75227,c_75226,c_75223,c_75222,c_75221,c_75220,c_75219,c_75218,c_75217,c_75215,c_75212,c_75210,c_75209,c_75208,c_75207,c_75206,c_75224,c_75204,c_75203,c_75201,c_75199,c_75198,c_75225,c_75211,c_75195,c_75194,c_75193,c_75192,c_75191,c_75353,c_75352,c_75351,c_75350,c_75289,c_75306,c_75152,c_75145,c_75128,c_75127,c_75126,c_75125,c_75124,c_75123,c_75122,c_75121,c_75118,c_75116,c_75114,c_75113,c_75112,c_75108,c_75107,c_75106,c_75105,c_75099,c_75097,c_75085,c_75084,c_75082,c_75080,c_75079,c_75078,c_75077,c_75076,c_75064,c_75060,c_75059,c_75055,c_75054,c_75053,c_75052,c_75051,c_74647,c_74641,c_74584,c_74580,c_74576,c_74567,c_74563,c_74516,c_74512,c_74501,c_74497,c_74433,c_74371,c_74370,c_74369,c_74368,c_74367,c_74366,c_74365,c_74364,c_74363,c_74362,c_74361,c_74360,c_74359,c_74358,c_74357,c_74356,c_74355,c_74354,c_74353,c_74352,c_74351,c_74350,c_74349,c_74348,c_74347,c_74345,c_74344,c_74343,c_74342,c_74341,c_74340,c_74339,c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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG421-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.41 % Computer : n002.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Fri Sep 25 05:39:34 UTC 2026
% 0.04/0.41 % CPUTime :
% 0.04/0.41 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.47 Running first-order theorem proving
% 0.04/0.48 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/0.49
% 0.04/0.49 % ======== iProver multi-core TPTP/SMT =========
% 0.04/0.49
% 0.04/0.50 % Detected problem language: tptp
% 0.24/0.52 % Proving...
% 91.32/13.37 % SZS status Started for theBenchmark.p
% 91.32/13.37 % SZS status Unsatisfiable for theBenchmark.p
% 91.32/13.37
% 91.32/13.37 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 91.32/13.37
% 91.32/13.37 % ------ iProver source info
% 91.32/13.37
% 91.32/13.37 % git: date: 2026-07-19 20:42:38 +0200
% 91.32/13.37 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 91.32/13.37 % git: non_committed_changes: false
% 91.32/13.37
% 91.32/13.37 % ------ Parsing...% successful
% 91.32/13.37
% 91.32/13.37
% 91.32/13.37 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 91.32/13.37
% 91.32/13.37 % ------ Preprocessing... sup_sim: 19 sf_s rm: 53 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 18 sf_s rm: 6 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 6 0s sf_e pe_s pe_e %
% 91.32/13.37
% 91.32/13.37 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 91.32/13.37
% 91.32/13.37 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 91.32/13.37 % ------ Proving...
% 91.32/13.37 % ------ Problem Properties
% 91.32/13.37
% 91.32/13.37 %
% 91.32/13.37 % clauses 326
% 91.32/13.37 % conjectures 1
% 91.32/13.37 % EPR 16
% 91.32/13.37 % Horn 287
% 91.32/13.37 % unary 95
% 91.32/13.37 % binary 144
% 91.32/13.37 % lits 662
% 91.32/13.37 % lits eq 339
% 91.32/13.37 % fd_pure 0
% 91.32/13.37 % fd_pseudo 0
% 91.32/13.37 % fd_cond 26
% 91.32/13.37 % fd_pseudo_cond 40
% 91.32/13.37 % AC symbols 0
% 91.32/13.37
% 91.32/13.37 % ------ Schedule dynamic 5 is on
% 91.32/13.37
% 91.32/13.37 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 91.32/13.37
% 91.32/13.37
% 91.32/13.37 % ------
% 91.32/13.37 % Current options:
% 91.32/13.37 % ------
% 91.32/13.37
% 91.32/13.37
% 91.32/13.37 %
% 91.32/13.37
% 91.32/13.37 % ------ Proving...
% 91.32/13.37 %
% 91.32/13.37
% 91.32/13.37 % SZS status Unsatisfiable for theBenchmark.p
% 91.32/13.37
% 91.32/13.37 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 91.98/13.86
% 91.98/13.86
%------------------------------------------------------------------------------