%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV615-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:27:09 EDT 2022
% Result : Timeout 300.07s 300.38s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV615-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jun 14 18:45:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.11/1.46 *** allocated 10000 integers for termspace/termends
% 1.11/1.46 *** allocated 10000 integers for clauses
% 1.11/1.46 *** allocated 10000 integers for justifications
% 1.11/1.46 *** allocated 15000 integers for termspace/termends
% 1.11/1.46 *** allocated 22500 integers for termspace/termends
% 1.11/1.46 *** allocated 33750 integers for termspace/termends
% 1.11/1.46 Bliksem 1.12
% 1.11/1.46
% 1.11/1.46
% 1.11/1.46 Automatic Strategy Selection
% 1.11/1.46
% 1.11/1.46 Clauses:
% 1.11/1.46 [
% 1.11/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.11/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.46 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.11/1.46 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.46 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.11/1.46 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.46 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X ), =( Y,
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.46 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.11/1.46 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.11/1.46 X ) ) ],
% 1.11/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.11/1.46 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.46 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.11/1.46 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.46 ), X ) ) ],
% 1.11/1.46 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.11/1.46 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.11/1.46 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.11/1.46 , T, X ), X ) ) ],
% 1.11/1.46 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.11/1.46 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.11/1.46 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.11/1.46 , Z, X ), X ) ) ],
% 1.11/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.46 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.46 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.11/1.46 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.11/1.46 ) ) ],
% 1.11/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.46 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.11/1.46 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.11/1.46 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.46 X ), T, X ) ) ],
% 1.11/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.46 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.46 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.11/1.46 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.11/1.46 ) ) ],
% 1.11/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.46 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.11/1.46 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.11/1.46 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.46 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.11/1.46 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.11/1.46 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 1.11/1.46 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.46 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.46 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.11/1.46 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ),
% 1.11/1.46 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.11/1.46 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.11/1.46 ) ],
% 1.11/1.46 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.11/1.46 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.11/1.46 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 1.11/1.46 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.46 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.46 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.11/1.46 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.11/1.46 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.11/1.46 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.11/1.46 ) ],
% 1.11/1.46 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.11/1.46 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.46 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.46 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.46 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.11/1.46 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.46 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 1.11/1.46 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 1.11/1.46 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.11/1.46 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.11/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.11/1.46 , 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.46 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.11/1.46 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.11/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.11/1.46 , X, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.11/1.46 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 1.11/1.46 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.11/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.11/1.46 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.11/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.46 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.11/1.46 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.11/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.11/1.46 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.11/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.11/1.46 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.11/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.11/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.46 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.11/1.46 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.46 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.11/1.46 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.46 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X ), =( Z,
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.46 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.11/1.46 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.11/1.46 , T, X ) ) ), =( Y, Z ) ],
% 1.11/1.46 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.11/1.46 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.11/1.46 , T, X ) ) ), =( Z, T ) ],
% 1.11/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.11/1.46 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.11/1.46 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.11/1.46 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.11/1.46 [ =( 'c_Transcendental_Osin'( 'c_Transcendental_Opi' ),
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.11/1.46 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.11/1.46 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.11/1.46 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.11/1.46 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.11/1.46 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.46 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.11/1.46 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 1.11/1.46 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.46 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.11/1.46 'tc_RealDef_Oreal' ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.46 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.11/1.46 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 1.11/1.46 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.11/1.46 ), X ) ) ],
% 1.11/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.11/1.46 ), X ) ) ],
% 1.11/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.11/1.46 ), X ) ) ],
% 1.11/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.11/1.46 ), X ) ) ],
% 1.11/1.46 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.11/1.46 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.11/1.46 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.11/1.46 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.46 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.46 'c_Transcendental_Opi', X, 'tc_RealDef_Oreal' ) ),
% 1.11/1.46 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.11/1.46 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.11/1.46 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.11/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.11/1.46 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.11/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.11/1.46 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.11/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.11/1.46 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.11/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.11/1.46 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.11/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.11/1.46 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.11/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.11/1.46 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.11/1.46 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.11/1.46 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.11/1.46 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.11/1.46 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.11/1.46 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.11/1.46 ) ],
% 1.11/1.46 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.11/1.46 ],
% 1.11/1.46 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.11/1.46 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.46 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.11/1.46 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.11/1.46 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.11/1.46 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.11/1.46 ) ],
% 1.11/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.11/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.46 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.46 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.11/1.46 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.46 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.46 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X ) ) ],
% 1.11/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.11/1.46 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.46 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.46 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' ), X ),
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.11/1.46 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.11/1.46 [ =( 'c_Transcendental_Otan'(
% 1.11/1.46 'c_Transcendental_Osko__Transcendental__Xtan__total__1__1'( X ) ), X ) ]
% 1.11/1.46 ,
% 1.11/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.46 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.11/1.46 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.11/1.46 ) ) ],
% 1.11/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.46 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.11/1.46 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.11/1.46 ) ) ],
% 1.11/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.46 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.11/1.46 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.11/1.46 ) ) ],
% 1.11/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.46 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.11/1.46 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.11/1.46 ) ) ],
% 1.11/1.46 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 1.11/1.46 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.11/1.46 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.11/1.46 ) ) ],
% 1.11/1.46 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.11/1.46 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.11/1.46 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.11/1.46 ) ) ],
% 1.11/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.46 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.11/1.46 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.11/1.46 ) ) ],
% 1.11/1.46 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.11/1.46 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.11/1.46 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.11/1.46 ) ) ],
% 1.11/1.46 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.11/1.46 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.11/1.46 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.11/1.46 ) ) ],
% 1.11/1.46 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.11/1.46 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.11/1.46 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.11/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.11/1.46 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.11/1.46 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.11/1.46 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.11/1.46 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ],
% 1.11/1.46 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.11/1.46 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.11/1.46 ,
% 1.11/1.46 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.11/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.11/1.46 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.11/1.46 ,
% 1.11/1.46 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 1.11/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.46 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.46 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.46 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.46 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.46 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.11/1.46 , 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.46 'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.11/1.46 , T, X ), 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.46 Z, T, 'tc_nat' ), X ) ) ],
% 1.11/1.46 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.11/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.11/1.46 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.11/1.46 ), X ), Y ) ],
% 1.11/1.46 [ =( X, 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.11/1.46 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.11/1.46 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 1.11/1.46 ), Y ) ],
% 1.11/1.46 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.11/1.46 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.11/1.46 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.46 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' )
% 1.11/1.46 , X ), 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.46 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' ), X ) ) ],
% 1.11/1.47 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.11/1.47 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.47 'c_Transcendental_Oarctan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.11/1.47 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.11/1.47 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.11/1.47 ],
% 1.11/1.47 [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Oarctan'( X ) ), X ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.11/1.47 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Ocos'( X ),
% 1.11/1.47 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.47 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.11/1.47 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 X ) ],
% 1.11/1.47 [ ~( 'c_HOL_Oord__class_Oless'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.11/1.47 ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.11/1.47 ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.11/1.47 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'( X ),
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Transcendental_Osin'( X ), 'c_Transcendental_Osin'( X ),
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 1.11/1.47 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.11/1.47 ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.11/1.47 , X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.11/1.47 ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.11/1.47 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.11/1.47 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.11/1.47 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.11/1.47 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.11/1.47 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.11/1.47 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 1.11/1.47 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.11/1.47 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.11/1.47 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.11/1.47 , X ), T, X ), W, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.11/1.47 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 1.11/1.47 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.11/1.47 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.11/1.47 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.11/1.47 , X ), W, X ), X ) ) ],
% 1.11/1.47 [ 'c_lessequals'( 'c_Transcendental_Oarctan'( X ),
% 1.11/1.47 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.11/1.47 X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.11/1.47 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.11/1.47 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.11/1.47 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 1.11/1.47 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.11/1.47 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.11/1.47 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Otan'( X ),
% 1.11/1.47 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ),
% 1.11/1.47 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oone__class_Oone'(
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Transcendental_Otan'( X ), 'c_Transcendental_Otan'( Y ),
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), =(
% 1.11/1.47 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.11/1.47 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.11/1.47 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.11/1.47 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.11/1.47 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.11/1.47 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.47 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.47 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.11/1.47 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 1.11/1.47 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.11/1.47 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.11/1.47 , Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.11/1.47 , T, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.11/1.47 , Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.11/1.47 , T, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.11/1.47 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.11/1.47 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.47 ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.11/1.47 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.11/1.47 ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.11/1.47 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.47 ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.11/1.47 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.47 ) ],
% 1.11/1.47 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.11/1.47 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.11/1.47 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.11/1.47 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.11/1.47 ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.11/1.47 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ],
% 1.11/1.47 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.11/1.47 'c_RealDef_Oreal'( X, 'tc_nat' ), 'tc_RealDef_Oreal' ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.47 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.47 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.11/1.47 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.47 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X )
% 1.11/1.47 ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.47 ) ), =( Y, Z ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.47 ) ), =( Y, Z ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.11/1.47 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.11/1.47 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.47 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.11/1.47 , U, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.47 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.47 , X ) ) ],
% 1.11/1.47 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.11/1.47 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.11/1.47 ],
% 1.11/1.47 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.11/1.47 ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.11/1.47 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.11/1.47 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.11/1.47 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Otan'( X ),
% 1.11/1.47 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Osin'(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ) ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.11/1.47 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.11/1.47 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( X,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.11/1.47 [ 'c_lessequals'( X, 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.11/1.47 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.11/1.47 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 1.11/1.47 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 1.11/1.47 , 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 1.11/1.47 Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.11/1.47 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.11/1.47 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.47 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.11/1.47 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.47 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ), =( Y
% 1.11/1.47 , Z ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.11/1.47 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 X ), T, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.11/1.47 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.11/1.47 ) ],
% 1.11/1.47 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.11/1.47 ) ],
% 1.11/1.47 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.11/1.47 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.11/1.47 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.11/1.47 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.47 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), =(
% 1.11/1.47 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 1.11/1.47 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.11/1.47 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.11/1.47 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.47 X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.11/1.47 ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.11/1.47 ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.11/1.47 ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.11/1.47 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.11/1.47 ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.11/1.47 ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.11/1.47 ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.11/1.47 ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.11/1.47 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.11/1.47 ), Y ) ],
% 1.11/1.47 [ =( X, 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.11/1.47 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.11/1.47 ), ~( =( 'c_Power_Opower__class_Opower'( Y,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.47 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.47 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.11/1.47 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.47 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.11/1.47 ), Y ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.11/1.47 ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.11/1.47 ) ) ],
% 1.11/1.47 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.11/1.47 ), Y ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.11/1.47 ), Y ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.11/1.47 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.11/1.47 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.11/1.47 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.11/1.47 , X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.11/1.47 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.11/1.47 , X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.11/1.47 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.11/1.47 , X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.11/1.47 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.11/1.47 , X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.11/1.47 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.11/1.47 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.11/1.47 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.11/1.47 X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.11/1.47 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.11/1.47 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.11/1.47 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.11/1.47 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.11/1.47 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.11/1.47 Z, T, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.11/1.47 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.47 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 1.11/1.47 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.47 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 1.11/1.47 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.11/1.47 , X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 Z, Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.47 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), X ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.11/1.47 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.11/1.47 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'(
% 1.11/1.47 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, 'c_Transcendental_Opi',
% 1.11/1.47 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ),
% 1.11/1.47 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 1.11/1.47 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ =( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( X ), X,
% 1.11/1.47 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 1.11/1.47 ) ) ],
% 1.11/1.47 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.11/1.47 ) ],
% 1.11/1.47 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'(
% 1.11/1.47 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.11/1.47 , ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.11/1.47 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.11/1.47 , X ) ) ), =( Y, Z ) ],
% 1.11/1.47 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.11/1.47 , X ) ) ), =( Y, Z ) ],
% 1.11/1.47 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 1.11/1.47 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.11/1.47 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.11/1.47 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.11/1.47 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.11/1.47 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.11/1.47 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.11/1.47 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.11/1.47 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.11/1.47 ) ],
% 1.11/1.47 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.11/1.47 ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.11/1.47 ), =( Z, Y ) ],
% 1.11/1.47 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.11/1.47 ) ],
% 1.11/1.47 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.11/1.47 , 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ),
% 1.11/1.47 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.11/1.47 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.11/1.47 ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.11/1.47 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.11/1.47 ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.11/1.47 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.11/1.47 X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.11/1.47 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.11/1.47 ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.11/1.47 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.11/1.47 X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.11/1.47 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.11/1.47 ) ],
% 1.11/1.47 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.11/1.47 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.11/1.47 , ~( 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.11/1.47 ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.11/1.47 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 1.11/1.47 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.11/1.47 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.47 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.11/1.47 ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.11/1.47 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.11/1.47 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.11/1.47 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.47 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oone__class_Oone'(
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.47 X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.47 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.11/1.47 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), =( X,
% 1.11/1.47 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.47 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.11/1.47 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.11/1.47 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.11/1.47 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.11/1.47 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.11/1.47 ), X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.47 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.11/1.47 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.11/1.47 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.11/1.47 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.11/1.47 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.11/1.47 ), X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.47 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.47 , X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.47 , X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.47 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.11/1.47 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.47 , X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.11/1.47 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.47 , X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.11/1.47 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 1.11/1.47 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.11/1.47 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.11/1.47 ) ],
% 1.11/1.47 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.11/1.47 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.11/1.47 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.11/1.47 ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.11/1.47 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.11/1.47 ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.11/1.47 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.11/1.47 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.11/1.47 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 1.11/1.47 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 1.11/1.47 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.47 , X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.11/1.47 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.11/1.47 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.11/1.47 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.11/1.47 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.11/1.47 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.11/1.47 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.11/1.47 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.11/1.47 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.11/1.47 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.11/1.47 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.11/1.47 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ =( 'c_Transcendental_Otan'(
% 1.11/1.47 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total1__1__1'( X ) )
% 1.11/1.47 , X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.47 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.11/1.47 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.11/1.47 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.11/1.47 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.11/1.47 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 1.11/1.47 Y, Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.11/1.47 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.11/1.47 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.11/1.47 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.11/1.47 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.11/1.47 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 1.11/1.47 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 Y, Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 Y, Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.11/1.47 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.11/1.47 X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.11/1.47 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.11/1.47 X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.11/1.47 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.11/1.47 X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.11/1.47 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.11/1.47 X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.11/1.47 ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.11/1.47 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.11/1.47 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.11/1.47 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.11/1.47 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.11/1.47 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.11/1.47 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.11/1.47 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.11/1.47 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.11/1.47 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.47 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.11/1.47 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.11/1.47 X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.11/1.47 , Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.47 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.47 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.47 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.11/1.47 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.11/1.47 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.11/1.47 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.11/1.47 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.11/1.47 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.11/1.47 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 1.11/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.11/1.47 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.11/1.47 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.11/1.47 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.11/1.47 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.11/1.47 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.11/1.47 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.11/1.47 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.11/1.47 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 1.11/1.47 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 1.11/1.47 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 1.11/1.47 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 1.11/1.47 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.11/1.47 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.11/1.47 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.11/1.47 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.11/1.47 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.11/1.47 , Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.11/1.47 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.11/1.47 , Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.11/1.47 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.11/1.47 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.47 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.11/1.47 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.11/1.47 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.11/1.47 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.11/1.47 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.11/1.47 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.47 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.11/1.47 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.11/1.47 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( Z,
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.11/1.47 , X ), X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.11/1.47 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.11/1.47 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.47 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.11/1.47 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.11/1.47 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.11/1.47 ), X ), Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.11/1.47 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.11/1.47 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.11/1.47 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 X ), T, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.11/1.47 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.47 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.11/1.47 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.11/1.47 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.11/1.47 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.11/1.47 ), X ), Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.11/1.47 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.11/1.47 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.11/1.47 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.11/1.47 ), X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.47 , X ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.47 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.11/1.47 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.47 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.11/1.47 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.11/1.47 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.47 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.11/1.47 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.11/1.47 ), X ), Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.11/1.47 , X ), X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.11/1.47 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.11/1.47 ), X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.11/1.47 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.11/1.47 , X ), X ), Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), ~( 'c_Int_Oiszero'(
% 1.11/1.47 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.11/1.47 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.11/1.47 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.11/1.47 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.11/1.47 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.11/1.47 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.11/1.47 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.11/1.47 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.11/1.47 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.47 ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.11/1.47 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.11/1.47 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.11/1.47 Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.11/1.47 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.11/1.47 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.47 , T, X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.11/1.47 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.11/1.47 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.47 , T, X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.11/1.47 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.11/1.47 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 1.11/1.47 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.11/1.47 ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.11/1.47 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.11/1.47 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.11/1.47 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.11/1.47 ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.11/1.47 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.11/1.47 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.11/1.47 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.47 , Z, X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.11/1.47 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.11/1.47 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.47 , Z, X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.11/1.47 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.11/1.47 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.11/1.47 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.11/1.47 , Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.11/1.47 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.47 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.47 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.11/1.47 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.11/1.47 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.11/1.47 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.11/1.47 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 Y, T, X ), Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.11/1.47 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.11/1.47 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 Y, T, X ), Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.11/1.47 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.11/1.47 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.11/1.47 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.11/1.47 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.11/1.47 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.11/1.47 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.11/1.47 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.11/1.47 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.47 ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.11/1.47 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.11/1.47 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 X ), T, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.11/1.47 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.11/1.47 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 X ), Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.11/1.47 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.11/1.47 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.11/1.47 X ), Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.47 ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oone__class_Oone'(
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Transcendental_Otan'( X ), 'c_Transcendental_Otan'( Y ),
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Ocos'(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ) ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.11/1.47 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.11/1.47 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.11/1.47 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.11/1.47 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.11/1.47 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.11/1.47 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.11/1.47 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 1.11/1.47 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.11/1.47 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.11/1.47 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.11/1.47 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.11/1.47 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.11/1.47 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.11/1.47 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.11/1.47 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.11/1.47 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.11/1.47 ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.11/1.47 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.11/1.47 Y, X ), Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.11/1.47 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.11/1.47 Y, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.11/1.47 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.11/1.47 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.47 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.11/1.47 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.47 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.47 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' )
% 1.11/1.47 , X ), X ) ],
% 1.11/1.47 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.11/1.47 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.11/1.47 ), 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.11/1.47 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 1.11/1.47 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.11/1.47 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.11/1.47 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.11/1.47 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.47 [ =( 'c_Transcendental_Otan'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.11/1.47 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.47 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.11/1.47 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.47 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.11/1.47 , X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.47 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.11/1.47 , X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.47 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.11/1.47 , X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.47 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.11/1.47 , X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ 'c_lessequals'( 'c_Transcendental_Osin'( X ), 'c_HOL_Oone__class_Oone'(
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.11/1.47 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.11/1.47 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.11/1.47 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.11/1.47 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.11/1.47 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.11/1.47 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.11/1.47 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.11/1.47 , X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.11/1.47 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.11/1.47 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.11/1.47 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.11/1.47 , X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.11/1.47 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.11/1.47 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.11/1.47 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.11/1.47 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.11/1.47 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.11/1.47 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.11/1.47 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.11/1.47 ) ],
% 1.11/1.47 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.11/1.47 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.11/1.47 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.11/1.47 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 1.11/1.47 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ 'c_lessequals'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.11/1.47 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 1.11/1.47 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.11/1.47 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.47 ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.11/1.47 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.47 ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.11/1.47 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.11/1.47 [ ~( =( 'c_Transcendental_Ocos'( 'c_Transcendental_Oarctan'( X ) ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.11/1.47 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 1.11/1.47 X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.11/1.47 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.11/1.47 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.47 ) ],
% 1.11/1.47 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.11/1.47 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.47 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.47 Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.11/1.47 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.11/1.47 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.11/1.47 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.11/1.47 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.47 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.11/1.47 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.11/1.47 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.11/1.47 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.47 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X,
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.11/1.47 ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.11/1.47 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.11/1.47 X ) ) ), =( Z, T ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.11/1.47 X ) ) ), =( Z, T ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.11/1.47 X ) ) ), =( Y, T ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.47 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.47 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.11/1.47 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.11/1.47 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.11/1.47 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.11/1.47 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.11/1.47 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.11/1.47 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 1.11/1.47 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.47 ) ],
% 1.11/1.47 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ),
% 1.11/1.47 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y
% 1.11/1.47 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.11/1.47 ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.11/1.47 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.11/1.47 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.11/1.47 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.11/1.47 Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.11/1.47 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.11/1.47 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.11/1.47 Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.11/1.47 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.11/1.47 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.11/1.47 X ), Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.11/1.47 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.11/1.47 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.11/1.47 , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.11/1.47 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.11/1.47 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.11/1.47 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.11/1.47 , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.11/1.47 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.11/1.47 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.11/1.47 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.47 'c_HOL_Oone__class_Oone'( X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_nat' ), Y, 'tc_nat' ), X ),
% 1.11/1.47 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.11/1.47 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.11/1.47 ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.11/1.47 ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.47 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.11/1.47 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.11/1.47 ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.47 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.11/1.47 ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.47 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 1.11/1.47 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.47 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 1.11/1.47 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.47 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.47 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.47 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.11/1.47 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.11/1.47 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.11/1.47 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.47 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.11/1.47 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' ), X ),
% 1.11/1.47 'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.11/1.47 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.11/1.47 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Y,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.11/1.47 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.47 Y, X ), Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.11/1.47 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.11/1.47 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.11/1.47 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.11/1.47 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.47 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.11/1.47 Z, T, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.11/1.47 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.47 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.11/1.47 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.47 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.11/1.47 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.47 Y, Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.11/1.47 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.11/1.47 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.11/1.47 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.11/1.47 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.11/1.47 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.11/1.47 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.11/1.47 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.11/1.47 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.11/1.47 [ =( 'c_Transcendental_Otan'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.47 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Ocos'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.47 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X,
% 1.11/1.47 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.47 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.47 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.47 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.47 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.47 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.47 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 1.11/1.47 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 1.11/1.47 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.11/1.47 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.11/1.47 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.11/1.47 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), X ) ],
% 1.11/1.47 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.11/1.47 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'(
% 1.11/1.47 X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 1.11/1.47 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.47 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( =( 'c_Transcendental_Opi', 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ) ) ) ],
% 1.11/1.47 [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 1.11/1.47 'tc_RealDef_Oreal' ) ) ), ~( =( 'c_Transcendental_Osin'( X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.11/1.47 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.11/1.47 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.47 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ), Y, X ), Z, X ), X )
% 1.11/1.47 ) ],
% 1.11/1.47 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.47 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X,
% 1.11/1.47 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.11/1.47 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.11/1.47 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.47 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' ), X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.11/1.47 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 1.11/1.47 [ 'c_lessequals'( 'c_Transcendental_Ocos'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.11/1.47 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.11/1.47 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.47 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.11/1.47 'tc_RealDef_Oreal' ) ],
% 1.11/1.47 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.11/1.47 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.11/1.47 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.47 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.11/1.47 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.11/1.47 ) ],
% 1.11/1.47 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.11/1.47 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.11/1.47 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.11/1.47 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.11/1.47 ), X ), Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.11/1.47 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.11/1.47 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.11/1.47 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.11/1.47 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.11/1.47 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.11/1.47 , T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.11/1.47 , T, X ), Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.11/1.47 , T, X ), Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.11/1.47 , T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), T, X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.11/1.47 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.11/1.47 ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.11/1.47 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.11/1.47 ), X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.11/1.47 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.11/1.47 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.11/1.47 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.11/1.47 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.11/1.47 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.11/1.47 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, T, X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.11/1.47 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.11/1.47 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.11/1.47 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.11/1.47 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.11/1.47 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.11/1.47 ), X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.11/1.47 ), X ), Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.11/1.47 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.11/1.47 ), X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.11/1.47 ), X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.11/1.47 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.11/1.47 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T
% 1.11/1.47 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.11/1.47 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.11/1.47 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.11/1.47 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.11/1.47 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.11/1.47 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.11/1.47 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.11/1.47 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 T, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.47 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ),
% 1.11/1.47 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.11/1.47 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 1.11/1.47 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.11/1.47 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.11/1.47 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.11/1.47 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.11/1.47 ],
% 1.11/1.47 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.11/1.47 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.11/1.47 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.11/1.47 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.11/1.47 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.11/1.47 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 1.11/1.47 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.11/1.47 , X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.11/1.47 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.11/1.47 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.47 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 1.11/1.47 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.11/1.47 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ =( 'c_Transcendental_Otan'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.47 'c_Transcendental_Osin'( X ), 'c_Transcendental_Ocos'( X ),
% 1.11/1.47 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.11/1.47 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.11/1.47 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.11/1.47 , X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.11/1.47 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.47 [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 1.11/1.47 'tc_RealDef_Oreal' ) ) ), =( 'c_Transcendental_Osin'( X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.11/1.47 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( Y ),
% 1.11/1.47 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( Y ),
% 1.11/1.47 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.11/1.47 ) ],
% 1.11/1.47 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.11/1.47 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.11/1.47 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.11/1.47 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X ),
% 1.11/1.47 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.11/1.47 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.11/1.47 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.47 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.11/1.47 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.47 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.11/1.47 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.11/1.47 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.11/1.47 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 1.11/1.47 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.11/1.47 ],
% 1.11/1.47 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.11/1.47 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 1.11/1.47 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.11/1.47 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.11/1.47 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.11/1.47 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.11/1.47 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.11/1.47 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.11/1.47 , X ), W, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.11/1.47 ],
% 1.11/1.47 [ =( 'c_Transcendental_Otan'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.11/1.47 ) ],
% 1.11/1.47 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.11/1.47 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_NthRoot_Osqrt'(
% 1.11/1.47 X ), 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.47 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.11/1.47 X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.11/1.47 X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.11/1.47 X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.11/1.47 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.47 'c_lessequals'( Z, Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.11/1.47 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.47 'c_lessequals'( Z, Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Z,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Y,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.11/1.47 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.11/1.47 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 1.11/1.47 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 1.11/1.47 W, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.11/1.47 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.11/1.47 , X ), T, X ), W, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.11/1.47 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 1.11/1.47 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 1.11/1.47 W, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.11/1.47 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.11/1.47 , X ), W, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.11/1.47 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.11/1.47 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.11/1.47 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.11/1.47 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.11/1.47 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.11/1.47 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.11/1.47 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.11/1.47 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.11/1.47 ],
% 1.11/1.47 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 1.11/1.47 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.11/1.47 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.11/1.47 ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 1.11/1.47 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.11/1.47 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.47 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.11/1.47 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.47 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ) ]
% 1.11/1.47 ,
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( Y,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Int_Oiszero'( Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.47 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 1.11/1.47 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.11/1.47 X ) ) ],
% 1.11/1.47 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.11/1.47 , Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.11/1.47 , X ) ) ],
% 1.11/1.47 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.11/1.47 , Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.11/1.47 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.11/1.47 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.11/1.47 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Transcendental_Opi',
% 1.11/1.47 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.11/1.47 ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.11/1.47 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.11/1.47 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.11/1.47 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.47 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y
% 1.11/1.47 , X ) ) ],
% 1.11/1.47 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Osin'( X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.47 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.47 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.47 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.11/1.47 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.11/1.47 , 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.47 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.47 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 1.11/1.47 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.47 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.47 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.47 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.47 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.47 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.47 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ =( 'c_Transcendental_Oarctan'( 'c_Transcendental_Otan'( X ) ), X ),
% 1.11/1.47 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.47 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.47 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.47 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.47 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.47 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.47 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.47 X, 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.47 'tc_RealDef_Oreal' ) ) ) ],
% 1.11/1.47 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.47 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.47 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.47 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.47 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.47 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.47 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 1.11/1.47 'c_Transcendental_Osko__Transcendental__Xtan__total__1__1'(
% 1.11/1.47 'c_Transcendental_Otan'( X ) ) ) ],
% 1.11/1.47 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.47 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.47 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.47 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.47 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.47 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.11/1.47 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ),
% 1.11/1.47 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Otan'( X ) ) ],
% 1.11/1.47 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Transcendental_Opi', 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.11/1.47 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.11/1.47 ) ],
% 1.11/1.47 [ =( 'c_Transcendental_Otan'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_Transcendental_Opi',
% 1.11/1.47 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.11/1.47 ) ],
% 1.11/1.47 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( Y, 'tc_nat' ),
% 1.11/1.47 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.11/1.47 'c_Transcendental_Otan'( X ) ) ],
% 1.11/1.47 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_Transcendental_Opi',
% 1.11/1.47 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.11/1.47 ) ],
% 1.11/1.47 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.47 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.47 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.47 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.11/1.47 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.47 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.47 'c_Int_OPls' ) ), X ), Y, X ), Z, X ), X ) ) ],
% 1.11/1.47 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( X,
% 1.11/1.47 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.47 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.11/1.47 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.11/1.47 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.11/1.47 X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 1.11/1.47 , X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.11/1.47 ), X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.11/1.47 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.11/1.47 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.11/1.47 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.11/1.47 ), X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.11/1.47 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.47 Y, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ),
% 1.11/1.47 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.11/1.47 , T, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.11/1.47 X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z
% 1.11/1.47 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.11/1.47 , T, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 1.11/1.47 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.11/1.47 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 1.11/1.47 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.11/1.47 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.11/1.47 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.47 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.47 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.11/1.47 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.11/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.11/1.47 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.11/1.47 ) ), ~( 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.47 'c_Int_OBit1'( Y ), X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.47 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 1.11/1.47 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_Int_Onumber__ring'( X ) ), 'c_Int_Oiszero'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ) ],
% 1.11/1.47 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), Y, X ), Y ) ],
% 1.11/1.47 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'( Y
% 1.11/1.47 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ), Y ) ],
% 1.11/1.47 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.11/1.47 ) ), 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.11/1.47 ~( 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y
% 1.11/1.47 ), X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.11/1.47 ) ), 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.47 Y ), X ), X ), ~( 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.11/1.47 , X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.11/1.47 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.11/1.47 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 1.11/1.47 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.47 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.11/1.47 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.47 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.11/1.47 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 1.11/1.47 Z, X ), X ) ) ],
% 1.11/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.11/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.11/1.48 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.11/1.48 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.11/1.48 , X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.11/1.48 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.11/1.48 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.11/1.48 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.11/1.48 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.48 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.11/1.48 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.11/1.48 , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.48 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.48 Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.48 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.11/1.48 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.11/1.48 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.48 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.11/1.48 X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.48 , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.48 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.11/1.48 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.11/1.48 ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.48 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.11/1.48 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.48 X ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_Power_Opower__class_Opower'(
% 1.11/1.48 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.11/1.48 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.48 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( Y, Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.11/1.48 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ),
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.11/1.48 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.11/1.48 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.11/1.48 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 1.11/1.48 , X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.11/1.48 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.11/1.48 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.11/1.48 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.11/1.48 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.11/1.48 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.48 [ ~( =( 'c_Transcendental_Ocos'( 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.48 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.11/1.48 [ =( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Osin'(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.48 ), X, 'tc_RealDef_Oreal' ) ) ) ],
% 1.11/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ), 'c_Transcendental_Oarctan'( X ), 'tc_RealDef_Oreal'
% 1.11/1.48 ) ],
% 1.11/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.48 'tc_RealDef_Oreal' ), 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' )
% 1.11/1.48 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.48 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.11/1.48 ) ],
% 1.11/1.48 [ =( 'c_Transcendental_Osin'( X ), 'c_Transcendental_Ocos'(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.48 ), X, 'tc_RealDef_Oreal' ) ) ) ],
% 1.11/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.48 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.11/1.48 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.48 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.11/1.48 ) ],
% 1.11/1.48 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 1.11/1.48 'tc_RealDef_Oreal' ), 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' )
% 1.11/1.48 , 'c_Transcendental_Otan'( 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 1.11/1.48 'tc_RealDef_Oreal' ) ) ) ],
% 1.11/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.48 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 1.11/1.48 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.48 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.11/1.48 ) ],
% 1.11/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total1__1__1'( X ),
% 1.11/1.48 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ),
% 1.11/1.48 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ) ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.48 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.48 ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.48 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.48 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ),
% 1.11/1.48 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.48 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.48 ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.48 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.48 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ),
% 1.11/1.48 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.48 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.11/1.48 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.48 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_Transcendental_Osko__Transcendental__Xtan__total__1__1'( X ),
% 1.11/1.48 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'(
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ 'c_lessequals'( 'c_Transcendental_Osin'( X ), 'c_Transcendental_Osin'(
% 1.11/1.48 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y,
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ),
% 1.11/1.48 ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( X, Y ),
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 1.11/1.48 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 1.11/1.48 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ),
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 1.11/1.48 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 1.11/1.48 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ =( 'c_RealDef_Oreal'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.11/1.48 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( X, 'tc_nat'
% 1.11/1.48 ), 'c_RealDef_Oreal'( Y, 'tc_nat' ), 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.48 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ),
% 1.11/1.48 'tc_RealDef_Oreal' ), 'c_Transcendental_Oarctan'(
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 1.11/1.48 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Oarctan'(
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 1.11/1.48 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ) ) ) ) ) ),
% 1.11/1.48 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 1.11/1.48 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), ~( 'class_Int_Onumber'(
% 1.11/1.48 X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.48 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.48 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), X ), X ), X ) ) ],
% 1.11/1.48 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ),
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ),
% 1.11/1.48 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 1.11/1.48 ) ],
% 1.11/1.48 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y,
% 1.11/1.48 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 1.11/1.48 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.11/1.48 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y,
% 1.11/1.48 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.11/1.48 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.48 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 1.11/1.48 'c_lessequals'( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ 'c_lessequals'( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.48 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ =( 'c_Complex_Ocis'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.11/1.48 ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.11/1.48 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.48 ) ), 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ) )
% 1.11/1.48 ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.48 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.11/1.48 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y,
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.11/1.48 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.48 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.48 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.11/1.48 , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.48 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.11/1.48 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.48 ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.48 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.11/1.48 ],
% 1.11/1.48 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal'
% 1.11/1.48 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.48 ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.48 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.48 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.48 , X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.11/1.48 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.11/1.48 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.48 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.11/1.48 ],
% 1.11/1.48 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.48 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.11/1.48 ],
% 1.11/1.48 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.48 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.11/1.48 ) ],
% 1.11/1.48 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.48 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.11/1.48 ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.11/1.48 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.11/1.48 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.11/1.48 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.11/1.48 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.48 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.11/1.48 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Otan'(
% 1.11/1.48 X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.11/1.48 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.11/1.48 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.48 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.11/1.48 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Ocos'( X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.11/1.48 , X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.48 , X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.48 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.11/1.48 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.48 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.11/1.48 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.48 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.48 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.11/1.48 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.11/1.48 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.11/1.48 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 1.11/1.48 ), Y, X ) ), =( Z, T ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.11/1.48 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.11/1.48 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.11/1.48 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.48 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.11/1.48 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'c_Int_Oiszero'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.11/1.48 [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Opi' ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.11/1.48 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.48 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.11/1.48 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.48 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.48 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.48 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.11/1.48 ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.48 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.48 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.11/1.48 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.11/1.48 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.11/1.48 X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.11/1.48 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.11/1.48 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.11/1.48 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.11/1.48 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.48 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.11/1.48 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.48 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.11/1.48 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.11/1.48 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( Y ),
% 1.11/1.48 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( Y ),
% 1.11/1.48 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.11/1.48 ) ],
% 1.11/1.48 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.11/1.48 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.11/1.48 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.11/1.48 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.11/1.48 ) ],
% 1.11/1.48 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.11/1.48 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.11/1.48 X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.11/1.48 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 Z, T, X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 Z, T, X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.11/1.48 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.11/1.48 X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.11/1.48 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 Y, T, X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 Y, T, X ) ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.11/1.48 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 1.11/1.48 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.11/1.48 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.11/1.48 , X ) ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.11/1.48 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.11/1.48 , X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.48 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 1.11/1.48 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.11/1.48 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.11/1.48 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.11/1.48 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.11/1.48 ) ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.11/1.48 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.11/1.48 ) ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.11/1.48 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.11/1.48 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.11/1.48 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.11/1.48 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.48 ) ],
% 1.11/1.48 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.48 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.48 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.48 ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.11/1.48 , Y, X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.11/1.48 , T, X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.11/1.48 , T, X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.11/1.48 , Y, X ), X ) ) ],
% 1.11/1.48 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.48 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 1.11/1.48 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.11/1.48 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.48 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.11/1.48 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.11/1.48 ],
% 1.11/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.48 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.11/1.48 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 1.11/1.48 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'(
% 1.11/1.48 'c_Power_Opower__class_Opower'( Y, Z, X ), T, X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.11/1.48 ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.11/1.48 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.11/1.48 ],
% 1.11/1.48 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.11/1.48 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.11/1.48 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.11/1.48 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.11/1.48 ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.11/1.48 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.11/1.48 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.11/1.48 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.11/1.48 'c_lessequals'( Z, Y, X ) ],
% 1.11/1.48 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 1.11/1.48 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.11/1.48 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.11/1.48 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.11/1.48 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.48 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.11/1.48 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.48 ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.48 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.11/1.48 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z,
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.48 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.11/1.48 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ),
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.48 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.11/1.48 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.48 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.11/1.48 X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.11/1.48 , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.48 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.11/1.48 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.48 ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.48 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.11/1.48 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.48 ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.48 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.11/1.48 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( Y ), X ),
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.48 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.11/1.48 , X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.11/1.48 ), =( 'c_HOL_Oinverse__class_Oinverse'(
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'(
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.11/1.48 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X
% 1.11/1.48 ) ) ],
% 1.11/1.48 [ ~( 'class_Int_Onumber__ring'( X ) ), ~( 'c_Int_Oiszero'(
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.11/1.48 ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.48 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.48 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.48 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ), X ), X ) ],
% 1.11/1.48 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), X, 'tc_nat' ), 'tc_nat' )
% 1.11/1.48 ) ],
% 1.11/1.48 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 1.11/1.48 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.11/1.48 ],
% 1.11/1.48 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.48 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.11/1.48 'c_Transcendental_Osin'( X ) ) ],
% 1.11/1.48 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.48 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.11/1.48 'c_Transcendental_Ocos'( X ) ) ],
% 1.11/1.48 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 1.11/1.48 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.11/1.48 ) ],
% 1.11/1.48 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.48 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.11/1.48 'c_Transcendental_Otan'( X ) ) ],
% 1.11/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.48 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Oone__class_Oone'(
% 1.11/1.48 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.48 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.48 ), 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_Transcendental_Osko__Transcendental__Xtan__total__1__1'( X ),
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.48 ) ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 1.11/1.48 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.48 ) ) ],
% 1.11/1.48 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.48 ) ), 'c_HOL_Oinverse__class_Odivide'( 'c_NthRoot_Osqrt'(
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.48 ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X ),
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.11/1.48 ],
% 1.11/1.48 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.48 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total1__1__1'( X ),
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ =( 'c_Power_Opower__class_Opower'( 'c_Complex_Ocis'( X ), Y,
% 1.11/1.48 'tc_Complex_Ocomplex' ), 'c_Complex_Ocis'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 'c_RealDef_Oreal'( Y, 'tc_nat' ), X, 'tc_RealDef_Oreal' ) ) ) ],
% 1.11/1.48 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.48 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_RealDef_Oreal'( X, 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.48 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_RealDef_Oreal'( X, 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'(
% 1.11/1.48 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.11/1.48 'c_HOL_Oone__class_Oone'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.11/1.48 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ) )
% 1.11/1.48 ],
% 1.11/1.48 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), X ), Y, X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), X ), X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.48 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), X ) ) ],
% 1.11/1.48 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oinverse__class_Odivide'( X
% 1.11/1.48 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( X,
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( X,
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.48 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X ) ],
% 1.11/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.48 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( 'v_k', 'tc_nat' ),
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.48 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_RealDef_Oreal'( 'v_n', 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.48 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.11/1.48 [ 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.48 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.11/1.48 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ =( 'c_FFT__Mirabelle_Oroot'( X ), 'c_Complex_Ocis'(
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 1.11/1.48 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.11/1.48 'tc_RealDef_Oreal' ) ) ) ],
% 1.11/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( 'v_k', 'tc_nat' ),
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.48 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_RealDef_Oreal'( 'v_n', 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.48 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.48 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X,
% 1.11/1.48 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.11/1.48 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.48 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), Z,
% 1.11/1.48 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 1.11/1.48 [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 1.11/1.48 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 1.11/1.48 , 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.11/1.48 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 1.11/1.48 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.11/1.48 ), Y ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.11/1.48 ), Y ) ],
% 1.11/1.48 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.48 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( X, 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.11/1.48 ) ],
% 1.11/1.48 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ),
% 1.11/1.48 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.11/1.48 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 1.11/1.48 [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.11/1.48 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.11/1.48 X ), T, X ) ) ],
% 1.11/1.48 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.11/1.48 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.11/1.48 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.11/1.48 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.11/1.48 T, X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.11/1.48 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.11/1.48 X ), T, X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.11/1.48 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.11/1.48 T, X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.11/1.48 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.11/1.48 X ), Z, X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.11/1.48 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.11/1.48 T, X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oone__class_Oone'( X )
% 1.11/1.48 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.11/1.48 ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.11/1.48 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.11/1.48 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.11/1.48 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.11/1.48 [ ~( =( 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_RealDef_Oreal'( Y, 'tc_nat'
% 1.11/1.48 ) ) ), =( X, Y ) ],
% 1.11/1.48 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), Y
% 1.11/1.48 , X ), Y ) ],
% 1.11/1.48 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.11/1.48 , X ), Y ) ],
% 1.11/1.48 [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.11/1.48 ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.11/1.48 ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.11/1.48 ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.11/1.48 ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.11/1.48 ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.11/1.48 ],
% 1.11/1.48 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.11/1.48 , Y, X ) ) ],
% 1.11/1.48 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.11/1.48 , Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.11/1.48 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.11/1.48 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.11/1.48 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 Y, T, X ), Z, X ) ) ],
% 1.11/1.48 [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 1.11/1.48 'tc_RealDef_Oreal' ) ) ), ~( =( 'c_Transcendental_Osin'( X ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.48 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 1.11/1.48 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.11/1.48 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.11/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( 'v_k', 'tc_nat' ),
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.48 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_RealDef_Oreal'( 'v_n', 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.48 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.48 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( 'v_k', 'tc_nat' ),
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.48 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_RealDef_Oreal'( 'v_n', 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ =( 'c_Complex_Ocis'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( 'v_k', 'tc_nat' ),
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.48 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.11/1.48 'c_RealDef_Oreal'( 'v_n', 'tc_nat' ), 'tc_RealDef_Oreal' ) ),
% 1.11/1.48 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.11/1.48 ],
% 1.11/1.48 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.11/1.48 ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.11/1.48 ],
% 1.11/1.48 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.11/1.48 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.11/1.48 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.11/1.48 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.11/1.48 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.11/1.48 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.11/1.48 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.11/1.48 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.11/1.48 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.11/1.48 ],
% 1.11/1.48 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.11/1.48 ],
% 1.11/1.48 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.11/1.48 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.11/1.48 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.11/1.48 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.11/1.48 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.11/1.48 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.11/1.48 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 1.11/1.48 ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 1.11/1.48 ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 1.11/1.48 ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 1.11/1.48 ],
% 1.11/1.48 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 1.11/1.48 ],
% 1.11/1.48 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Oring__1'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_Int_Oring__char__0'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_Int_Onumber'( 'tc_RealDef_Oreal' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.11/1.48 'tc_Complex_Ocomplex' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.11/1.48 'tc_Complex_Ocomplex' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.11/1.48 'tc_Complex_Ocomplex' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.11/1.48 ],
% 1.11/1.48 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.11/1.48 ],
% 1.11/1.48 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.11/1.48 ],
% 1.11/1.48 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.11/1.48 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.11/1.48 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.11/1.48 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.11/1.48 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.11/1.48 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.11/1.48 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.11/1.48 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ]
% 1.11/1.48 ] .
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 percentage equality = 0.199497, percentage horn = 0.864293
% 1.11/1.48 This is a problem with some equality
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 Options Used:
% 1.11/1.48
% 1.11/1.48 useres = 1
% 1.11/1.48 useparamod = 1
% 1.11/1.48 useeqrefl = 1
% 1.11/1.48 useeqfact = 1
% 1.11/1.48 usefactor = 1
% 1.11/1.48 usesimpsplitting = 0
% 1.11/1.48 usesimpdemod = 5
% 1.11/1.48 usesimpres = 3
% 1.11/1.48
% 1.11/1.48 resimpinuse = 1000
% 1.11/1.48 resimpclauses = 20000
% 1.11/1.48 substype = eqrewr
% 1.11/1.48 backwardsubs = 1
% 1.11/1.48 selectoldest = 5
% 1.11/1.48
% 1.11/1.48 litorderings [0] = split
% 1.11/1.48 litorderings [1] = extend the termordering, first sorting on arguments
% 1.11/1.48
% 1.11/1.48 termordering = kbo
% 1.11/1.48
% 1.11/1.48 litapriori = 0
% 1.11/1.48 termapriori = 1
% 1.11/1.48 litaposteriori = 0
% 1.11/1.48 termaposteriori = 0
% 1.11/1.48 demodaposteriori = 0
% 1.11/1.48 ordereqreflfact = 0
% 1.11/1.48
% 1.11/1.48 litselect = negord
% 1.11/1.48
% 1.11/1.48 maxweight = 15
% 1.11/1.48 maxdepth = 30000
% 1.11/1.48 maxlength = 115
% 1.11/1.48 maxnrvars = 195
% 1.11/1.48 excuselevel = 1
% 1.11/1.48 increasemaxweight = 1
% 1.11/1.48
% 1.11/1.48 maxselected = 10000000
% 1.11/1.48 maxnrclauses = 10000000
% 1.11/1.48
% 1.11/1.48 showgenerated = 0
% 1.11/1.48 showkept = 0
% 1.11/1.48 showselected = 0
% 1.11/1.48 showdeleted = 0
% 1.11/1.48 showresimp = 1
% 1.11/1.48 showstatus = 2000
% 1.11/1.48
% 1.11/1.48 prologoutput = 1
% 1.11/1.48 nrgoals = 5000000
% 1.11/1.48 totalproof = 1
% 1.11/1.48
% 1.11/1.48 Symbols occurring in the translation:
% 1.11/1.48
% 1.11/1.48 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.11/1.48 . [1, 2] (w:1, o:131, a:1, s:1, b:0),
% 1.11/1.48 ! [4, 1] (w:0, o:56, a:1, s:1, b:0),
% 1.11/1.48 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.11/1.48 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.11/1.48 'class_Ring__and__Field_Oordered__idom' [40, 1] (w:1, o:65, a:1, s:1
% 1.11/1.48 , b:0),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero' [41, 1] (w:1, o:66, a:1, s:1, b:0),
% 1.11/1.48 'c_Int_OPls' [43, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.11/1.48 'c_Int_OBit1' [44, 1] (w:1, o:69, a:1, s:1, b:0),
% 1.11/1.48 'c_Int_OBit0' [45, 1] (w:1, o:68, a:1, s:1, b:0),
% 1.11/1.48 'tc_nat' [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of' [47, 2] (w:1, o:158, a:1, s:1, b:0
% 1.11/1.48 ),
% 1.11/1.48 'c_Power_Opower__class_Opower' [48, 3] (w:1, o:162, a:1, s:1, b:0),
% 1.11/1.48 'c_HOL_Oplus__class_Oplus' [50, 3] (w:1, o:164, a:1, s:1, b:0),
% 1.11/1.48 'c_HOL_Oord__class_Oless' [51, 3] (w:1, o:163, a:1, s:1, b:0),
% 1.11/1.48 'class_Ring__and__Field_Oordered__field' [52, 1] (w:1, o:70, a:1, s:1
% 1.11/1.48 , b:0),
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero' [53, 1] (w:1, o:74, a:1
% 1.11/1.48 , s:1, b:0),
% 1.11/1.48 'c_HOL_Oone__class_Oone' [54, 1] (w:1, o:67, a:1, s:1, b:0),
% 1.11/1.48 'c_lessequals' [55, 3] (w:1, o:165, a:1, s:1, b:0),
% 1.11/1.48 'c_HOL_Oinverse__class_Oinverse' [56, 2] (w:1, o:156, a:1, s:1, b:0)
% 1.11/1.48 ,
% 1.11/1.48 'class_Ring__and__Field_Oordered__semiring__strict' [58, 1] (w:1, o:
% 1.11/1.48 76, a:1, s:1, b:0),
% 1.11/1.48 'c_HOL_Otimes__class_Otimes' [62, 3] (w:1, o:166, a:1, s:1, b:0),
% 1.11/1.48 'class_Ring__and__Field_Oordered__ring__strict' [63, 1] (w:1, o:75
% 1.11/1.48 , a:1, s:1, b:0),
% 1.11/1.48 'tc_RealDef_Oreal' [65, 0] (w:1, o:31, a:1, s:1, b:0),
% 1.11/1.48 'class_RealVector_Oreal__normed__algebra' [66, 1] (w:1, o:77, a:1, s:
% 2.86/3.21 1, b:0),
% 2.86/3.21 'c_HOL_Ominus__class_Ominus' [67, 3] (w:1, o:167, a:1, s:1, b:0),
% 2.86/3.21 'c_NthRoot_Osqrt' [68, 1] (w:1, o:78, a:1, s:1, b:0),
% 2.86/3.21 'class_OrderedGroup_Ogroup__add' [69, 1] (w:1, o:79, a:1, s:1, b:0),
% 2.86/3.21
% 2.86/3.21 'c_HOL_Ouminus__class_Ouminus' [70, 2] (w:1, o:157, a:1, s:1, b:0),
% 2.86/3.21 'class_OrderedGroup_Oab__group__add' [71, 1] (w:1, o:80, a:1, s:1, b:
% 2.86/3.21 0),
% 2.86/3.21 'class_Ring__and__Field_Oordered__semidom' [75, 1] (w:1, o:81, a:1
% 2.86/3.21 , s:1, b:0),
% 2.86/3.21 'c_Transcendental_Opi' [76, 0] (w:1, o:32, a:1, s:1, b:0),
% 2.86/3.21 'c_Transcendental_Osin' [77, 1] (w:1, o:82, a:1, s:1, b:0),
% 2.86/3.21 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [78, 1]
% 2.86/3.21 (w:1, o:84, a:1, s:1, b:0),
% 2.86/3.21 'class_OrderedGroup_Ocomm__monoid__add' [79, 1] (w:1, o:85, a:1, s:1
% 2.86/3.21 , b:0),
% 2.86/3.21 'c_HOL_Oinverse__class_Odivide' [80, 3] (w:1, o:168, a:1, s:1, b:0),
% 2.86/3.21
% 2.86/3.21 'class_Orderings_Olinorder' [81, 1] (w:1, o:86, a:1, s:1, b:0),
% 2.86/3.21 'class_Orderings_Opreorder' [82, 1] (w:1, o:88, a:1, s:1, b:0),
% 2.86/3.21 'c_Transcendental_Ocos' [83, 1] (w:1, o:89, a:1, s:1, b:0),
% 2.86/3.21 'c_Transcendental_Osko__Transcendental__Xtan__total__1__1' [85, 1]
% 2.86/3.21 (w:1, o:90, a:1, s:1, b:0),
% 2.86/3.21 'c_Transcendental_Otan' [86, 1] (w:1, o:92, a:1, s:1, b:0),
% 2.86/3.21 'class_Ring__and__Field_Ocomm__semiring__1' [87, 1] (w:1, o:72, a:1
% 2.86/3.21 , s:1, b:0),
% 2.86/3.21 'class_OrderedGroup_Oab__semigroup__add' [89, 1] (w:1, o:93, a:1, s:1
% 2.86/3.21 , b:0),
% 2.86/3.21 'class_Orderings_Oorder' [90, 1] (w:1, o:87, a:1, s:1, b:0),
% 2.86/3.21 'class_OrderedGroup_Olordered__ab__group__add' [92, 1] (w:1, o:94, a:
% 2.86/3.21 1, s:1, b:0),
% 2.86/3.21 'class_OrderedGroup_Opordered__comm__monoid__add' [93, 1] (w:1, o:95
% 2.86/3.21 , a:1, s:1, b:0),
% 2.86/3.21 'class_Ring__and__Field_Odivision__ring' [96, 1] (w:1, o:96, a:1, s:1
% 2.86/3.21 , b:0),
% 2.86/3.21 'class_Ring__and__Field_Ocomm__ring__1' [97, 1] (w:1, o:71, a:1, s:1
% 2.86/3.21 , b:0),
% 2.86/3.21 'c_Transcendental_Oarctan' [98, 1] (w:1, o:97, a:1, s:1, b:0),
% 2.86/3.21 'class_OrderedGroup_Opordered__ab__group__add' [99, 1] (w:1, o:98, a:
% 2.86/3.21 1, s:1, b:0),
% 2.86/3.21 'class_Ring__and__Field_Ofield' [100, 1] (w:1, o:99, a:1, s:1, b:0),
% 2.86/3.21
% 2.86/3.21 'c_RealDef_Oreal' [102, 2] (w:1, o:159, a:1, s:1, b:0),
% 2.86/3.21 'class_Ring__and__Field_Oring' [103, 1] (w:1, o:100, a:1, s:1, b:0),
% 2.86/3.21
% 2.86/3.21 'class_Ring__and__Field_Opordered__ring' [105, 1] (w:1, o:103, a:1
% 2.86/3.21 , s:1, b:0),
% 2.86/3.21 'class_Ring__and__Field_Oidom' [106, 1] (w:1, o:104, a:1, s:1, b:0),
% 2.86/3.21
% 2.86/3.21 'class_Int_Onumber__ring' [107, 1] (w:1, o:105, a:1, s:1, b:0),
% 2.86/3.21 'class_Ring__and__Field_Oordered__semiring' [108, 1] (w:1, o:101, a:1
% 2.86/3.21 , s:1, b:0),
% 2.86/3.21 'class_Ring__and__Field_Oordered__comm__semiring__strict' [110, 1]
% 2.86/3.21 (w:1, o:102, a:1, s:1, b:0),
% 2.86/3.21 'class_OrderedGroup_Omonoid__add' [111, 1] (w:1, o:106, a:1, s:1, b:0
% 2.86/3.21 ),
% 2.86/3.21 'class_Ring__and__Field_Ozero__neq__one' [112, 1] (w:1, o:107, a:1
% 2.86/3.21 , s:1, b:0),
% 2.86/3.21 'class_Ring__and__Field_Ono__zero__divisors' [113, 1] (w:1, o:64, a:1
% 2.86/3.21 , s:1, b:0),
% 2.86/3.21 'class_Ring__and__Field_Omult__zero' [114, 1] (w:1, o:61, a:1, s:1
% 2.86/3.21 , b:0),
% 2.86/3.21 'class_Power_Opower' [115, 1] (w:1, o:116, a:1, s:1, b:0),
% 2.86/3.21 'class_Lattices_Oboolean__algebra' [116, 1] (w:1, o:117, a:1, s:1, b:
% 2.86/3.21 0),
% 2.86/3.21 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [117, 1]
% 2.86/3.21 (w:1, o:108, a:1, s:1, b:0),
% 2.86/3.21 'class_Ring__and__Field_Oring__no__zero__divisors' [118, 1] (w:1, o:
% 2.86/3.21 118, a:1, s:1, b:0),
% 2.86/3.21 'c_FFT__Mirabelle_Oroot' [119, 1] (w:1, o:119, a:1, s:1, b:0),
% 2.86/3.21 'tc_Complex_Ocomplex' [120, 0] (w:1, o:40, a:1, s:1, b:0),
% 2.86/3.21 'class_OrderedGroup_Opordered__ab__semigroup__add' [121, 1] (w:1, o:
% 2.86/3.21 109, a:1, s:1, b:0),
% 2.86/3.21 'class_Int_Onumber' [122, 1] (w:1, o:120, a:1, s:1, b:0),
% 2.86/3.21 'class_Ring__and__Field_Oring__1__no__zero__divisors' [123, 1] (w:1
% 2.86/3.21 , o:121, a:1, s:1, b:0),
% 2.86/3.21 'class_RealVector_Oreal__normed__field' [124, 1] (w:1, o:122, a:1, s:
% 2.86/3.21 1, b:0),
% 2.86/3.21 'class_Ring__and__Field_Omult__mono1' [126, 1] (w:1, o:62, a:1, s:1
% 2.86/3.21 , b:0),
% 2.86/3.21 'class_Ring__and__Field_Omult__mono' [127, 1] (w:1, o:63, a:1, s:1
% 2.86/3.21 , b:0),
% 2.86/3.21 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total1__1__1' [129, 1
% 19.50/19.91 ] (w:1, o:91, a:1, s:1, b:0),
% 19.50/19.91 'class_OrderedGroup_Omonoid__mult' [130, 1] (w:1, o:110, a:1, s:1, b:
% 19.50/19.91 0),
% 19.50/19.91 'class_Ring__and__Field_Ocomm__semiring' [131, 1] (w:1, o:73, a:1, s:
% 19.50/19.91 1, b:0),
% 19.50/19.91 'class_OrderedGroup_Ocomm__monoid__mult' [135, 1] (w:1, o:111, a:1
% 19.50/19.91 , s:1, b:0),
% 19.50/19.91 'class_Ring__and__Field_Osemiring' [136, 1] (w:1, o:124, a:1, s:1, b:
% 19.50/19.91 0),
% 19.50/19.91 'class_Ring__and__Field_Oring__1' [137, 1] (w:1, o:123, a:1, s:1, b:0
% 19.50/19.91 ),
% 19.50/19.91 'class_Ring__and__Field_Osemiring__1' [138, 1] (w:1, o:125, a:1, s:1
% 19.50/19.91 , b:0),
% 19.50/19.91 'c_Int_Oiszero' [139, 2] (w:1, o:160, a:1, s:1, b:0),
% 19.50/19.91 'class_RealVector_Oreal__field' [140, 1] (w:1, o:126, a:1, s:1, b:0)
% 19.50/19.91 ,
% 19.50/19.91 'class_Ring__and__Field_Opordered__cancel__semiring' [141, 1] (w:1
% 19.50/19.91 , o:127, a:1, s:1, b:0),
% 19.50/19.91 'class_OrderedGroup_Oordered__ab__group__add' [142, 1] (w:1, o:83, a:
% 19.50/19.91 1, s:1, b:0),
% 19.50/19.91 'class_Ring__and__Field_Opordered__semiring' [143, 1] (w:1, o:128, a:
% 19.50/19.91 1, s:1, b:0),
% 19.50/19.91 'class_OrderedGroup_Ocancel__ab__semigroup__add' [147, 1] (w:1, o:112
% 19.50/19.91 , a:1, s:1, b:0),
% 19.50/19.91 'class_OrderedGroup_Ocancel__semigroup__add' [148, 1] (w:1, o:113, a:
% 19.50/19.91 1, s:1, b:0),
% 19.50/19.91 'class_Int_Oring__char__0' [152, 1] (w:1, o:129, a:1, s:1, b:0),
% 19.50/19.91 hAPP [154, 2] (w:1, o:161, a:1, s:1, b:0),
% 19.50/19.91 'c_Complex_Ocis' [155, 1] (w:1, o:130, a:1, s:1, b:0),
% 19.50/19.91 'v_k' [158, 0] (w:1, o:52, a:1, s:1, b:0),
% 19.50/19.91 'v_n' [159, 0] (w:1, o:53, a:1, s:1, b:0),
% 19.50/19.91 'class_OrderedGroup_Oab__semigroup__mult' [166, 1] (w:1, o:114, a:1
% 19.50/19.91 , s:1, b:0),
% 19.50/19.91 'class_OrderedGroup_Oab__semigroup__idem__mult' [167, 1] (w:1, o:115
% 19.50/19.91 , a:1, s:1, b:0),
% 19.50/19.91 'tc_Int_Oint' [168, 0] (w:1, o:55, a:1, s:1, b:0).
% 19.50/19.91
% 19.50/19.91
% 19.50/19.91 Starting Search:
% 19.50/19.91
% 19.50/19.91 Resimplifying inuse:
% 19.50/19.91 Done
% 19.50/19.91
% 19.50/19.91
% 19.50/19.91 Intermediate Status:
% 19.50/19.91 Generated: 3109
% 19.50/19.91 Kept: 2030
% 19.50/19.91 Inuse: 128
% 19.50/19.91 Deleted: 3
% 19.50/19.91 Deletedinuse: 0
% 19.50/19.91
% 19.50/19.91 Resimplifying inuse:
% 19.50/19.91 Done
% 19.50/19.91
% 19.50/19.91 Resimplifying inuse:
% 19.50/19.91 Done
% 19.50/19.91
% 19.50/19.91
% 19.50/19.91 Intermediate Status:
% 19.50/19.91 Generated: 7404
% 19.50/19.91 Kept: 4253
% 19.50/19.91 Inuse: 268
% 19.50/19.91 Deleted: 6
% 19.50/19.91 Deletedinuse: 0
% 19.50/19.91
% 19.50/19.91 Resimplifying inuse:
% 19.50/19.91 Done
% 19.50/19.91
% 19.50/19.91 Resimplifying inuse:
% 19.50/19.91 Done
% 19.50/19.91
% 19.50/19.91
% 19.50/19.91 Intermediate Status:
% 19.50/19.91 Generated: 13505
% 19.50/19.91 Kept: 6271
% 19.50/19.91 Inuse: 388
% 19.50/19.91 Deleted: 8
% 19.50/19.91 Deletedinuse: 0
% 19.50/19.91
% 19.50/19.91 Resimplifying inuse:
% 19.50/19.91 Done
% 19.50/19.91
% 19.50/19.91 Resimplifying inuse:
% 19.50/19.91 Done
% 19.50/19.91
% 19.50/19.91
% 19.50/19.91 Intermediate Status:
% 19.50/19.91 Generated: 18793
% 19.50/19.91 Kept: 8481
% 19.50/19.91 Inuse: 452
% 19.50/19.91 Deleted: 9
% 19.50/19.91 Deletedinuse: 0
% 19.50/19.91
% 19.50/19.91 Resimplifying inuse:
% 19.50/19.91 Done
% 19.50/19.91
% 19.50/19.91 Resimplifying inuse:
% 19.50/19.91 Done
% 19.50/19.91
% 19.50/19.91
% 19.50/19.91 Intermediate Status:
% 19.50/19.91 Generated: 24463
% 19.50/19.91 Kept: 10484
% 19.50/19.91 Inuse: 524
% 19.50/19.91 Deleted: 12
% 19.50/19.91 Deletedinuse: 0
% 19.50/19.91
% 19.50/19.91 Resimplifying inuse:
% 19.50/19.91 Done
% 19.50/19.91
% 19.50/19.91
% 19.50/19.91 Intermediate Status:
% 19.50/19.91 Generated: 33046
% 19.50/19.91 Kept: 14771
% 19.50/19.91 Inuse: 562
% 19.50/19.91 Deleted: 14
% 19.50/19.91 Deletedinuse: 0
% 19.50/19.91
% 19.50/19.91 Resimplifying inuse:
% 19.50/19.91 Done
% 19.50/19.91
% 19.50/19.91
% 19.50/19.91 Intermediate Status:
% 19.50/19.91 Generated: 37534
% 19.50/19.91 Kept: 17742
% 19.50/19.91 Inuse: 567
% 19.50/19.91 Deleted: 14
% 19.50/19.91 Deletedinuse: 0
% 19.50/19.91
% 19.50/19.91 Resimplifying inuse:
% 19.50/19.91 Done
% 19.50/19.91
% 19.50/19.91 Resimplifying inuse:
% 19.50/19.91 Done
% 19.50/19.91
% 19.50/19.91
% 19.50/19.91 Intermediate Status:
% 19.50/19.91 Generated: 46368
% 19.50/19.91 Kept: 20361
% 19.50/19.91 Inuse: 582
% 19.50/19.91 Deleted: 14
% 19.50/19.91 Deletedinuse: 0
% 19.50/19.91
% 19.50/19.91 Resimplifying inuse:
% 19.50/19.91 Done
% 19.50/19.91
% 19.50/19.91 Resimplifying clauses:
% 19.50/19.91 Done
% 19.50/19.91
% 19.50/19.91 Resimplifying inuse:
% 19.50/19.91 Done
% 19.50/19.91
% 19.50/19.91
% 19.50/19.91 Intermediate Status:
% 19.50/19.91 Generated: 56794
% 19.50/19.91 Kept: 22945
% 19.50/19.91 Inuse: 632
% 19.50/19.91 Deleted: 620
% 19.50/19.91 Deletedinuse: 0
% 19.50/19.91
% 19.50/19.91 Resimplifying inuse:
% 19.50/19.91 Done
% 19.50/19.91
% 19.50/19.91 Resimplifying inuse:
% 19.50/19.91 Done
% 19.50/19.91
% 19.50/19.91
% 19.50/19.91 Intermediate Status:
% 19.50/19.91 Generated: 65580
% 19.50/19.91 Kept: 25151
% 19.50/19.91 Inuse: 647
% 19.50/19.91 Deleted: 620
% 19.50/19.91 Deletedinuse: 0
% 19.50/19.91
% 19.50/19.91 Resimplifying inuse:
% 19.50/19.91 Done
% 19.50/19.91
% 19.50/19.91 Resimplifying inuse:
% 19.50/19.91 Done
% 19.50/19.91
% 19.50/19.91
% 19.50/19.91 Intermediate Status:
% 19.50/19.91 Generated: 73814
% 19.50/19.91 Kept: 27156
% 19.50/19.91 Inuse: 692
% 19.50/19.91 Deleted: 620
% 19.50/19.91 Deletedinuse: 0
% 19.50/19.91
% 19.50/19.91 Resimplifying inuse:
% 19.50/19.91 Done
% 19.50/19.91
% 19.50/19.91 Resimplifying inuse:
% 19.50/19.91 Done
% 19.50/19.91
% 19.50/19.91
% 19.50/19.91 Intermediate Status:
% 19.50/19.91 Generated: 86178
% 19.50/19.91 Kept: 29176
% 19.50/19.91 Inuse: 727
% 19.50/19.91 Deleted: 620
% 19.50/19.91 Deletedinuse: 0
% 19.50/19.91
% 19.50/19.91 Resimplifying inuse:
% 19.50/19.91 Done
% 19.50/19.91
% 19.50/19.91
% 19.50/19.91 Intermediate Status:
% 19.50/19.91 Generated: 95753
% 19.50/19.91 Kept: 31473
% 19.50/19.91 Inuse: 767
% 19.50/19.91 Deleted: 620
% 19.50/19.91 Deletedinuse: 0
% 19.50/19.91
% 19.50/19.91 Resimplifying inuse:
% 19.50/19.91 Done
% 19.50/19.91
% 19.50/19.91 Resimplifying inuse:
% 19.50/19.91 Done
% 19.50/19.91
% 19.50/19.91
% 19.50/19.91 Intermediate Status:
% 19.50/19.91 Generated: 114918
% 19.50/19.91 Kept: 36125
% 19.50/19.91 Inuse: 824
% 19.50/19.91 Deleted: 621
% 19.50/19.91 Deletedinuse: 1
% 19.50/19.91
% 19.50/19.91 Resimplifying inuse:
% 19.50/19.91 Done
% 19.50/19.91
% 19.50/19.91 Resimplifying inuse:
% 19.50/19.91 Done
% 19.50/19.91
% 19.50/19.91
% 19.50/19.91 Intermediate Status:
% 82.07/82.44 Generated: 122760
% 82.07/82.44 Kept: 38222
% 82.07/82.44 Inuse: 881
% 82.07/82.44 Deleted: 622
% 82.07/82.44 Deletedinuse: 1
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44
% 82.07/82.44 Intermediate Status:
% 82.07/82.44 Generated: 150954
% 82.07/82.44 Kept: 41671
% 82.07/82.44 Inuse: 931
% 82.07/82.44 Deleted: 622
% 82.07/82.44 Deletedinuse: 1
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44 Resimplifying clauses:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44
% 82.07/82.44 Intermediate Status:
% 82.07/82.44 Generated: 163820
% 82.07/82.44 Kept: 43920
% 82.07/82.44 Inuse: 941
% 82.07/82.44 Deleted: 1690
% 82.07/82.44 Deletedinuse: 1
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44
% 82.07/82.44 Intermediate Status:
% 82.07/82.44 Generated: 173112
% 82.07/82.44 Kept: 45922
% 82.07/82.44 Inuse: 989
% 82.07/82.44 Deleted: 1690
% 82.07/82.44 Deletedinuse: 1
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44
% 82.07/82.44 Intermediate Status:
% 82.07/82.44 Generated: 180479
% 82.07/82.44 Kept: 47922
% 82.07/82.44 Inuse: 1026
% 82.07/82.44 Deleted: 1690
% 82.07/82.44 Deletedinuse: 1
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44
% 82.07/82.44 Intermediate Status:
% 82.07/82.44 Generated: 196827
% 82.07/82.44 Kept: 51207
% 82.07/82.44 Inuse: 1056
% 82.07/82.44 Deleted: 1690
% 82.07/82.44 Deletedinuse: 1
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44
% 82.07/82.44 Intermediate Status:
% 82.07/82.44 Generated: 207314
% 82.07/82.44 Kept: 53257
% 82.07/82.44 Inuse: 1061
% 82.07/82.44 Deleted: 1690
% 82.07/82.44 Deletedinuse: 1
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44
% 82.07/82.44 Intermediate Status:
% 82.07/82.44 Generated: 219261
% 82.07/82.44 Kept: 56081
% 82.07/82.44 Inuse: 1066
% 82.07/82.44 Deleted: 1690
% 82.07/82.44 Deletedinuse: 1
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44
% 82.07/82.44 Intermediate Status:
% 82.07/82.44 Generated: 248916
% 82.07/82.44 Kept: 60858
% 82.07/82.44 Inuse: 1074
% 82.07/82.44 Deleted: 1696
% 82.07/82.44 Deletedinuse: 2
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44 Resimplifying clauses:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44
% 82.07/82.44 Intermediate Status:
% 82.07/82.44 Generated: 263323
% 82.07/82.44 Kept: 63030
% 82.07/82.44 Inuse: 1096
% 82.07/82.44 Deleted: 2048
% 82.07/82.44 Deletedinuse: 2
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44
% 82.07/82.44 Intermediate Status:
% 82.07/82.44 Generated: 272156
% 82.07/82.44 Kept: 65097
% 82.07/82.44 Inuse: 1131
% 82.07/82.44 Deleted: 2048
% 82.07/82.44 Deletedinuse: 2
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44
% 82.07/82.44 Intermediate Status:
% 82.07/82.44 Generated: 281554
% 82.07/82.44 Kept: 67115
% 82.07/82.44 Inuse: 1150
% 82.07/82.44 Deleted: 2048
% 82.07/82.44 Deletedinuse: 2
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44
% 82.07/82.44 Intermediate Status:
% 82.07/82.44 Generated: 290148
% 82.07/82.44 Kept: 69156
% 82.07/82.44 Inuse: 1166
% 82.07/82.44 Deleted: 2048
% 82.07/82.44 Deletedinuse: 2
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44
% 82.07/82.44 Intermediate Status:
% 82.07/82.44 Generated: 300307
% 82.07/82.44 Kept: 71272
% 82.07/82.44 Inuse: 1201
% 82.07/82.44 Deleted: 2048
% 82.07/82.44 Deletedinuse: 2
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44
% 82.07/82.44 Intermediate Status:
% 82.07/82.44 Generated: 315458
% 82.07/82.44 Kept: 74556
% 82.07/82.44 Inuse: 1216
% 82.07/82.44 Deleted: 2048
% 82.07/82.44 Deletedinuse: 2
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44
% 82.07/82.44 Intermediate Status:
% 82.07/82.44 Generated: 331830
% 82.07/82.44 Kept: 79290
% 82.07/82.44 Inuse: 1226
% 82.07/82.44 Deleted: 2048
% 82.07/82.44 Deletedinuse: 2
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44
% 82.07/82.44 Intermediate Status:
% 82.07/82.44 Generated: 352299
% 82.07/82.44 Kept: 81890
% 82.07/82.44 Inuse: 1231
% 82.07/82.44 Deleted: 2048
% 82.07/82.44 Deletedinuse: 2
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44 Resimplifying clauses:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44
% 82.07/82.44 Intermediate Status:
% 82.07/82.44 Generated: 362759
% 82.07/82.44 Kept: 84133
% 82.07/82.44 Inuse: 1246
% 82.07/82.44 Deleted: 2293
% 82.07/82.44 Deletedinuse: 2
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44
% 82.07/82.44 Intermediate Status:
% 82.07/82.44 Generated: 393114
% 82.07/82.44 Kept: 87834
% 82.07/82.44 Inuse: 1266
% 82.07/82.44 Deleted: 2293
% 82.07/82.44 Deletedinuse: 2
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44
% 82.07/82.44 Intermediate Status:
% 82.07/82.44 Generated: 407102
% 82.07/82.44 Kept: 90431
% 82.07/82.44 Inuse: 1276
% 82.07/82.44 Deleted: 2293
% 82.07/82.44 Deletedinuse: 2
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44
% 82.07/82.44 Intermediate Status:
% 82.07/82.44 Generated: 420899
% 82.07/82.44 Kept: 93200
% 82.07/82.44 Inuse: 1286
% 82.07/82.44 Deleted: 2293
% 82.07/82.44 Deletedinuse: 2
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44
% 82.07/82.44 Intermediate Status:
% 82.07/82.44 Generated: 430428
% 82.07/82.44 Kept: 95253
% 82.07/82.44 Inuse: 1311
% 82.07/82.44 Deleted: 2293
% 82.07/82.44 Deletedinuse: 2
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44
% 82.07/82.44 Intermediate Status:
% 82.07/82.44 Generated: 447328
% 82.07/82.44 Kept: 97740
% 82.07/82.44 Inuse: 1326
% 82.07/82.44 Deleted: 2293
% 82.07/82.44 Deletedinuse: 2
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44
% 82.07/82.44 Intermediate Status:
% 82.07/82.44 Generated: 457374
% 82.07/82.44 Kept: 99754
% 82.07/82.44 Inuse: 1358
% 82.07/82.44 Deleted: 2293
% 82.07/82.44 Deletedinuse: 2
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44 Resimplifying inuse:
% 82.07/82.44 Done
% 82.07/82.44
% 82.07/82.44
% 82.07/82.44 Intermediate Status:
% 82.07/82.44 Generated: 467526
% 82.07/82.44 Kept: 101854
% 181.09/181.44 Inuse: 1391
% 181.09/181.44 Deleted: 2293
% 181.09/181.44 Deletedinuse: 2
% 181.09/181.44
% 181.09/181.44 Resimplifying clauses:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44
% 181.09/181.44 Intermediate Status:
% 181.09/181.44 Generated: 488726
% 181.09/181.44 Kept: 104571
% 181.09/181.44 Inuse: 1401
% 181.09/181.44 Deleted: 2756
% 181.09/181.44 Deletedinuse: 2
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44
% 181.09/181.44 Intermediate Status:
% 181.09/181.44 Generated: 508064
% 181.09/181.44 Kept: 107030
% 181.09/181.44 Inuse: 1406
% 181.09/181.44 Deleted: 2756
% 181.09/181.44 Deletedinuse: 2
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44
% 181.09/181.44 Intermediate Status:
% 181.09/181.44 Generated: 534074
% 181.09/181.44 Kept: 110282
% 181.09/181.44 Inuse: 1411
% 181.09/181.44 Deleted: 2756
% 181.09/181.44 Deletedinuse: 2
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44
% 181.09/181.44 Intermediate Status:
% 181.09/181.44 Generated: 545887
% 181.09/181.44 Kept: 112437
% 181.09/181.44 Inuse: 1441
% 181.09/181.44 Deleted: 2756
% 181.09/181.44 Deletedinuse: 2
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44
% 181.09/181.44 Intermediate Status:
% 181.09/181.44 Generated: 556986
% 181.09/181.44 Kept: 114557
% 181.09/181.44 Inuse: 1451
% 181.09/181.44 Deleted: 2756
% 181.09/181.44 Deletedinuse: 2
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44
% 181.09/181.44 Intermediate Status:
% 181.09/181.44 Generated: 573553
% 181.09/181.44 Kept: 117673
% 181.09/181.44 Inuse: 1461
% 181.09/181.44 Deleted: 2756
% 181.09/181.44 Deletedinuse: 2
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44
% 181.09/181.44 Intermediate Status:
% 181.09/181.44 Generated: 588122
% 181.09/181.44 Kept: 120304
% 181.09/181.44 Inuse: 1491
% 181.09/181.44 Deleted: 2756
% 181.09/181.44 Deletedinuse: 2
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44
% 181.09/181.44 Intermediate Status:
% 181.09/181.44 Generated: 620894
% 181.09/181.44 Kept: 124565
% 181.09/181.44 Inuse: 1506
% 181.09/181.44 Deleted: 2756
% 181.09/181.44 Deletedinuse: 2
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44 Resimplifying clauses:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44
% 181.09/181.44 Intermediate Status:
% 181.09/181.44 Generated: 631225
% 181.09/181.44 Kept: 127061
% 181.09/181.44 Inuse: 1526
% 181.09/181.44 Deleted: 2864
% 181.09/181.44 Deletedinuse: 2
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44
% 181.09/181.44 Intermediate Status:
% 181.09/181.44 Generated: 642817
% 181.09/181.44 Kept: 129514
% 181.09/181.44 Inuse: 1546
% 181.09/181.44 Deleted: 2864
% 181.09/181.44 Deletedinuse: 2
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44
% 181.09/181.44 Intermediate Status:
% 181.09/181.44 Generated: 654429
% 181.09/181.44 Kept: 131715
% 181.09/181.44 Inuse: 1556
% 181.09/181.44 Deleted: 2864
% 181.09/181.44 Deletedinuse: 2
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44
% 181.09/181.44 Intermediate Status:
% 181.09/181.44 Generated: 669229
% 181.09/181.44 Kept: 134744
% 181.09/181.44 Inuse: 1562
% 181.09/181.44 Deleted: 2864
% 181.09/181.44 Deletedinuse: 2
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44
% 181.09/181.44 Intermediate Status:
% 181.09/181.44 Generated: 682142
% 181.09/181.44 Kept: 136829
% 181.09/181.44 Inuse: 1581
% 181.09/181.44 Deleted: 2864
% 181.09/181.44 Deletedinuse: 2
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44
% 181.09/181.44 Intermediate Status:
% 181.09/181.44 Generated: 711415
% 181.09/181.44 Kept: 139944
% 181.09/181.44 Inuse: 1586
% 181.09/181.44 Deleted: 2864
% 181.09/181.44 Deletedinuse: 2
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44
% 181.09/181.44 Intermediate Status:
% 181.09/181.44 Generated: 777743
% 181.09/181.44 Kept: 143673
% 181.09/181.44 Inuse: 1601
% 181.09/181.44 Deleted: 2864
% 181.09/181.44 Deletedinuse: 2
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44 Resimplifying clauses:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44
% 181.09/181.44 Intermediate Status:
% 181.09/181.44 Generated: 798109
% 181.09/181.44 Kept: 146076
% 181.09/181.44 Inuse: 1621
% 181.09/181.44 Deleted: 3584
% 181.09/181.44 Deletedinuse: 4
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44
% 181.09/181.44 Intermediate Status:
% 181.09/181.44 Generated: 814044
% 181.09/181.44 Kept: 148660
% 181.09/181.44 Inuse: 1626
% 181.09/181.44 Deleted: 3584
% 181.09/181.44 Deletedinuse: 4
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44
% 181.09/181.44 Intermediate Status:
% 181.09/181.44 Generated: 832631
% 181.09/181.44 Kept: 155902
% 181.09/181.44 Inuse: 1631
% 181.09/181.44 Deleted: 3584
% 181.09/181.44 Deletedinuse: 4
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44
% 181.09/181.44 Intermediate Status:
% 181.09/181.44 Generated: 848713
% 181.09/181.44 Kept: 158445
% 181.09/181.44 Inuse: 1636
% 181.09/181.44 Deleted: 3584
% 181.09/181.44 Deletedinuse: 4
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44
% 181.09/181.44 Intermediate Status:
% 181.09/181.44 Generated: 863602
% 181.09/181.44 Kept: 160601
% 181.09/181.44 Inuse: 1661
% 181.09/181.44 Deleted: 3584
% 181.09/181.44 Deletedinuse: 4
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44
% 181.09/181.44 Intermediate Status:
% 181.09/181.44 Generated: 879371
% 181.09/181.44 Kept: 162809
% 181.09/181.44 Inuse: 1686
% 181.09/181.44 Deleted: 3584
% 181.09/181.44 Deletedinuse: 4
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44
% 181.09/181.44 Intermediate Status:
% 181.09/181.44 Generated: 891969
% 181.09/181.44 Kept: 165059
% 181.09/181.44 Inuse: 1706
% 181.09/181.44 Deleted: 3584
% 181.09/181.44 Deletedinuse: 4
% 181.09/181.44
% 181.09/181.44 Resimplifying clauses:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44
% 181.09/181.44 Intermediate Status:
% 181.09/181.44 Generated: 905181
% 181.09/181.44 Kept: 167194
% 181.09/181.44 Inuse: 1726
% 181.09/181.44 Deleted: 3938
% 181.09/181.44 Deletedinuse: 4
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44
% 181.09/181.44 Intermediate Status:
% 181.09/181.44 Generated: 918368
% 181.09/181.44 Kept: 169207
% 181.09/181.44 Inuse: 1747
% 181.09/181.44 Deleted: 3941
% 181.09/181.44 Deletedinuse: 7
% 181.09/181.44
% 181.09/181.44 Resimplifying inuse:
% 181.09/181.44 Done
% 181.09/181.44
% 181.09/181.44
% 181.09/181.44 Intermediate Status:
% 181.09/181.44 Generated: 931146
% 181.09/181.44 Kept: 17Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------