%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV694-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 16:27:50 EDT 2022
% Result : Timeout 300.04s 300.50s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV694-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Tue Jun 14 19:23:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.19/1.54 *** allocated 10000 integers for termspace/termends
% 1.19/1.54 *** allocated 10000 integers for clauses
% 1.19/1.54 *** allocated 10000 integers for justifications
% 1.19/1.54 *** allocated 15000 integers for termspace/termends
% 1.19/1.54 *** allocated 22500 integers for termspace/termends
% 1.19/1.54 *** allocated 33750 integers for termspace/termends
% 1.19/1.54 Bliksem 1.12
% 1.19/1.54
% 1.19/1.54
% 1.19/1.54 Automatic Strategy Selection
% 1.19/1.54
% 1.19/1.54 Clauses:
% 1.19/1.54 [
% 1.19/1.54 [ =( X, Y ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y )
% 1.19/1.54 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), =( X, Y
% 1.19/1.54 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.19/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.54 Y, X ), Z ) ) ) ],
% 1.19/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.19/1.54 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.19/1.54 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.19/1.54 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.19/1.54 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.19/1.54 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.19/1.54 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.19/1.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.19/1.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 1.19/1.54 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 1.19/1.54 hAPP( X, T ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.19/1.54 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oplus__class_Oplus'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.19/1.54 , X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 1.19/1.54 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.19/1.54 'c_Suc', X ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.19/1.54 , hAPP( 'c_Suc', X ) ), Z ) ) ), =( Y, Z ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.19/1.54 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ) )
% 1.19/1.54 ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.19/1.54 Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) )
% 1.19/1.54 ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.54 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.54 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.54 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.54 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.19/1.54 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.19/1.54 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.19/1.54 ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.19/1.54 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.19/1.54 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.19/1.54 ) ) ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), =( X, Y
% 1.19/1.54 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.19/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.19/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.54 Y, X ), Z ) ) ), =( Y, Z ) ],
% 1.19/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( Y, X ), Z ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.54 Y, X ), Z ) ) ],
% 1.19/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.54 Y, X ), Z ) ) ) ],
% 1.19/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.54 Y, X ), Z ) ) ), =( Z, Y ) ],
% 1.19/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.19/1.54 ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ),
% 1.19/1.54 ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z )
% 1.19/1.54 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.19/1.54 ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ),
% 1.19/1.54 ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.19/1.54 ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), Y ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 'c_HOL_Oone__class_Oone'(
% 1.19/1.54 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.19/1.54 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.19/1.54 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.19/1.54 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.19/1.54 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.19/1.54 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T )
% 1.19/1.54 , U ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( U, X ), Z ) ) ), ~( hBOOL(
% 1.19/1.54 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), U
% 1.19/1.54 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~(
% 1.19/1.54 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) )
% 1.19/1.54 ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.54 'tc_nat' ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.19/1.54 ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ) ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.54 'tc_nat' ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.19/1.54 ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), X ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.54 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), X ), hAPP(
% 1.19/1.54 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), T ) ) ) ]
% 1.19/1.54 ,
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.54 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), X ), hAPP(
% 1.19/1.54 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), T ) ) ) ]
% 1.19/1.54 ,
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z )
% 1.19/1.54 , X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~(
% 1.19/1.54 hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ]
% 1.19/1.54 ,
% 1.19/1.54 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 1.19/1.54 'tc_bool' ) ), Y ) ) ) ],
% 1.19/1.54 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.19/1.54 'tc_bool' ) ), Y ) ) ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.54 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( Y, 'tc_nat' ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X
% 1.19/1.54 , 'tc_nat' ), Z ) ) ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), X ) ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.19/1.54 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.19/1.54 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.19/1.54 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), Y ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.19/1.54 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.54 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.19/1.54 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.19/1.54 X ), Z ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.19/1.54 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.19/1.54 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.19/1.54 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.19/1.54 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.19/1.54 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.19/1.54 ,
% 1.19/1.54 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ), hBOOL(
% 1.19/1.54 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.19/1.54 ,
% 1.19/1.54 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ), ~(
% 1.19/1.54 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), hAPP( 'c_Suc', X )
% 1.19/1.54 ) ) ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.19/1.54 Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ) ]
% 1.19/1.54 ,
% 1.19/1.54 [ =( X, hAPP( 'c_Suc', Y ) ), hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' )
% 1.19/1.54 , Y ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( 'c_Suc', Y
% 1.19/1.54 ) ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.19/1.54 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.19/1.54 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.19/1.54 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.19/1.54 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.19/1.54 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.54 X ), X ), Y ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.19/1.54 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.19/1.54 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.54 X ), X ), Y ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.19/1.54 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.19/1.54 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.19/1.54 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.19/1.54 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.19/1.54 'c_HOL_Oone__class_Oone'( X ) ) ), X ), Z ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.19/1.54 'c_HOL_Oone__class_Oone'( X ) ) ) ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.19/1.54 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.19/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ) ) ) ],
% 1.19/1.54 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.19/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ) ) ) ) ],
% 1.19/1.54 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.19/1.54 X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.19/1.54 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.19/1.54 X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.19/1.54 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.19/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ) ) ) ],
% 1.19/1.54 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.19/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ) ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.19/1.54 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T )
% 1.19/1.54 , Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.54 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.19/1.54 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T )
% 1.19/1.54 , Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.19/1.54 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( T, X ), Y ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.19/1.54 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.19/1.54 ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.19/1.54 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.19/1.54 ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.19/1.54 ), Y ) ],
% 1.19/1.54 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.19/1.54 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 1.19/1.54 ) ],
% 1.19/1.54 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.19/1.54 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.19/1.54 ) ],
% 1.19/1.54 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.19/1.54 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.19/1.54 ) ],
% 1.19/1.54 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.54 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.19/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ), X ),
% 1.19/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.19/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.19/1.54 ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.54 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.19/1.54 X ), Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.54 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.19/1.54 ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.54 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.19/1.54 ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.19/1.54 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.19/1.54 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.19/1.54 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ),
% 1.19/1.54 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.19/1.54 X ), T ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.19/1.54 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.19/1.54 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.19/1.54 ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.54 X ), Y ), T ), X ), Z ) ) ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc',
% 1.19/1.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.54 'tc_nat' ) ), 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.54 'tc_nat' ) ), 'tc_nat' ), Y ) ) ) ],
% 1.19/1.54 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.19/1.54 X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.19/1.54 'c_Suc', Y ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.19/1.54 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( 'c_Suc', Y ), X ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.19/1.54 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 1.19/1.54 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.19/1.54 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 1.19/1.54 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.19/1.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.19/1.54 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.19/1.54 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.19/1.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 1.19/1.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z )
% 1.19/1.54 , X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~(
% 1.19/1.54 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) )
% 1.19/1.54 , ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), T ) ) ) ],
% 1.19/1.54 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.54 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 1.19/1.54 ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.54 'tc_nat' ) ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.19/1.54 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ) ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.54 'tc_nat' ) ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.19/1.54 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.19/1.54 ), Y ), hAPP( 'c_Suc', Z ) ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.19/1.54 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.19/1.54 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.19/1.54 ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.54 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.19/1.54 'c_Suc', X ) ) ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.19/1.54 Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', Y ) ) ) ) ],
% 1.19/1.54 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), X ) ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.54 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.54 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ),
% 1.19/1.54 T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.19/1.54 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ) ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), T ) ), Y ) ), Z ) ), U ) )
% 1.19/1.54 , ~( hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), X ) ) ) ],
% 1.19/1.54 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ) ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), X ) ), Y ) ), U ) ) ), ~(
% 1.19/1.54 hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), T ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.19/1.54 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.19/1.54 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.19/1.54 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.54 X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.19/1.54 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( hAPP(
% 1.19/1.54 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ],
% 1.19/1.54 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.19/1.54 X ) ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.54 'tc_nat' ), X ), Y ) ) ) ],
% 1.19/1.54 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.19/1.54 'c_Suc', Y ) ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.54 'tc_nat' ), X ), Y ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.19/1.54 ), Y ), Z ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.19/1.54 T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.19/1.54 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.19/1.54 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, 'tc_nat' ), Z ) ) ) ]
% 1.19/1.54 ,
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z )
% 1.19/1.54 , X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~(
% 1.19/1.54 hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ) )
% 1.19/1.54 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.19/1.54 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), Z ) ) ) ],
% 1.19/1.54 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.19/1.54 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 1.19/1.54 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) ) ), hBOOL(
% 1.19/1.54 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), T ) ) ],
% 1.19/1.54 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.19/1.54 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.19/1.54 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y
% 1.19/1.54 ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.19/1.54 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z
% 1.19/1.54 ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.19/1.54 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y
% 1.19/1.54 ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.19/1.54 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z
% 1.19/1.54 ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.54 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.19/1.54 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.19/1.54 [ =( 'c_SetInterval_Oord__class_OatMost'( hAPP( 'c_Suc', X ), 'tc_nat' )
% 1.19/1.54 , 'c_Set_Oinsert'( hAPP( 'c_Suc', X ),
% 1.19/1.54 'c_SetInterval_Oord__class_OatMost'( X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.19/1.54 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ), =( hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Z ) ), T ) ), hAPP(
% 1.19/1.54 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), T ) ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.54 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.54 'tc_nat' ) ) ) ) ],
% 1.19/1.54 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.19/1.54 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.19/1.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.19/1.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.19/1.54 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.19/1.54 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 1.19/1.54 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.19/1.54 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.19/1.54 'tc_nat' ), X ), Y ), 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.54 X, 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y
% 1.19/1.54 ) ) ) ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X )
% 1.19/1.54 , Z ), 'tc_nat' ), Y ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.19/1.54 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.54 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.19/1.54 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ) ), T ),
% 1.19/1.54 'tc_nat' ), U ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), T ), 'tc_nat' ),
% 1.19/1.54 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), U ) ) ) ), ~( hBOOL(
% 1.19/1.54 hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.54 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.19/1.54 ) ), Z ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.19/1.54 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) )
% 1.19/1.54 ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), T ) ), Y ) ), Z ),
% 1.19/1.54 'tc_nat' ), U ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), X ) )
% 1.19/1.54 ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), T ) ), U ) ) ), ~(
% 1.19/1.54 hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.54 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T
% 1.19/1.54 ) ), X ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.19/1.54 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ), U ) )
% 1.19/1.54 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.54 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.19/1.54 ) ), Z ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.19/1.54 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) )
% 1.19/1.54 ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), X ) ), Y ) ), U ) ) ) ),
% 1.19/1.54 ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), T ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.19/1.54 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.19/1.54 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.54 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.19/1.54 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.19/1.54 X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.54 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.19/1.54 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.19/1.54 X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.54 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.19/1.54 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.19/1.54 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.54 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ) ],
% 1.19/1.54 [ ~( =( hAPP( 'c_Suc', X ), X ) ) ],
% 1.19/1.54 [ ~( =( X, hAPP( 'c_Suc', X ) ) ) ],
% 1.19/1.54 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.19/1.54 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ) ) ), =( Z, T ), =( Y
% 1.19/1.54 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.19/1.54 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( Y, X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.19/1.54 T, X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL(
% 1.19/1.54 hAPP( 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.19/1.54 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( Y, X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.19/1.54 T, X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL(
% 1.19/1.54 hAPP( 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.19/1.54 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( Y, X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.19/1.54 T, X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL(
% 1.19/1.54 hAPP( 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.19/1.54 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.19/1.54 X ), Z ) ) ],
% 1.19/1.54 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.19/1.54 X ), Y ) ) ],
% 1.19/1.54 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Z ) ) ]
% 1.19/1.54 ,
% 1.19/1.54 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ) ]
% 1.19/1.54 ,
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.54 X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ) ) ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.19/1.54 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.54 'tc_nat' ), Z ), X ), 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.19/1.54 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.54 'tc_nat' ), X ), Z ), 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.54 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.54 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ),
% 1.19/1.54 Z ) ) ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 1.19/1.54 X ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z )
% 1.19/1.54 , Y ) ) ) ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.54 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.54 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ),
% 1.19/1.54 Z ) ) ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.19/1.54 X ) ) ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.19/1.54 X ) ) ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' )
% 1.19/1.54 , Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) )
% 1.19/1.54 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ]
% 1.19/1.54 ,
% 1.19/1.54 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.19/1.54 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) )
% 1.19/1.54 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), hAPP( 'c_Suc', Y ) )
% 1.19/1.54 ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.19/1.54 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.54 Y, Z, X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X )
% 1.19/1.54 , T ) ) ) ],
% 1.19/1.54 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.54 Y, Z, X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X )
% 1.19/1.54 , T ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), =( Z, Y ) ],
% 1.19/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ],
% 1.19/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ],
% 1.19/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Z, Y ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ],
% 1.19/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ),
% 1.19/1.54 Y ) ) ) ],
% 1.19/1.54 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.19/1.54 'class_RealVector_Oreal__normed__algebra__1'( Y ) ), =( Z, T ), ~(
% 1.19/1.54 'c_Lim_OLIM'( U, W, T, Y, X ) ), ~( 'c_Lim_OLIM'( U, W, Z, Y, X ) ) ]
% 1.19/1.54 ,
% 1.19/1.54 [ =( X, Y ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ), ~(
% 1.19/1.54 hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), hBOOL(
% 1.19/1.54 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ), =( Y, X ) ],
% 1.19/1.54 [ ~( 'class_RealVector_Ometric__space'( X ) ), =( Y, Z ), ~(
% 1.19/1.54 'c_SEQ_OLIMSEQ'( T, Z, X ) ), ~( 'c_SEQ_OLIMSEQ'( T, Y, X ) ) ],
% 1.19/1.54 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( Y, Z ), ~(
% 1.19/1.54 'c_Deriv_Oderiv'( T, U, Z, X ) ), ~( 'c_Deriv_Oderiv'( T, U, Y, X ) ) ]
% 1.19/1.54 ,
% 1.19/1.54 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), =( Z, Y ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) ) ],
% 1.19/1.54 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), hBOOL(
% 1.19/1.54 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ), =( Y, X ) ],
% 1.19/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( Z, X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.19/1.54 Z ) ) ) ],
% 1.19/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.19/1.54 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), =( Z, Y ) ],
% 1.19/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( Z, X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.19/1.54 Z ) ) ) ],
% 1.19/1.54 [ =( 'c_HOL_Oord__class_Oless'( 'v_n', 'tc_nat' ), 'c_lessequals'( hAPP(
% 1.19/1.54 'c_Suc', 'v_n' ), 'tc_nat' ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ),
% 1.19/1.54 'c_HOL_Oone__class_Oone'( X ) ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.19/1.54 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.19/1.54 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.19/1.54 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ),
% 1.19/1.54 'c_HOL_Oone__class_Oone'( X ) ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.19/1.54 ) ) ) ) ],
% 1.19/1.54 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.19/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), X ),
% 1.19/1.54 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.19/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ) ],
% 1.19/1.54 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.54 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.19/1.54 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.54 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), Y ) ), ~( hBOOL(
% 1.19/1.54 hAPP( 'c_lessequals'( Z, 'tc_nat' ), X ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.19/1.55 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.19/1.55 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), ~(
% 1.19/1.55 hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.19/1.55 ), Y ), T ), X ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.19/1.55 ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), Y ) ) ),
% 1.19/1.55 ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.19/1.55 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.19/1.55 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.19/1.55 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.19/1.55 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.19/1.55 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.19/1.55 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.19/1.55 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.19/1.55 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.19/1.55 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.19/1.55 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.19/1.55 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.19/1.55 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.19/1.55 , X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ),
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 'tc_nat' ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.55 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.19/1.55 'tc_nat' ), X ) ) ) ],
% 1.19/1.55 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( X, 'tc_nat' ), T ) ) ), =( Z, hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), X ) ), Y ) ), U ) ) ],
% 1.19/1.55 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( T, 'tc_nat' ), X ) ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), T ) ), Y ) ), Z ), U ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Z ) ), T ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.19/1.55 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.19/1.55 ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.19/1.55 ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.19/1.55 ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.19/1.55 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.19/1.55 X ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.19/1.55 X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.19/1.55 , T ), Z ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.19/1.55 ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T
% 1.19/1.55 ), Z ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z
% 1.19/1.55 ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T
% 1.19/1.55 ), X ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 1.19/1.55 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.19/1.55 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 1.19/1.55 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.19/1.55 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, hAPP(
% 1.19/1.55 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.19/1.55 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.19/1.55 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.19/1.55 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.19/1.55 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.19/1.55 X ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.19/1.55 ) ) ) ) ],
% 1.19/1.55 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.19/1.55 , X ) ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.19/1.55 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ),
% 1.19/1.55 X ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.19/1.55 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.19/1.55 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.55 'tc_nat' ), X ), Z ), 'tc_nat' ), Y ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ),
% 1.19/1.55 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ),
% 1.19/1.55 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.55 'tc_nat' ), X ), Y ), 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.55 X, 'tc_nat' ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z )
% 1.19/1.55 , Y ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.19/1.55 Z ), 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ),
% 1.19/1.55 Y ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), 'tc_nat' ),
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), X ) ), Y ) ), U ) ) ) ),
% 1.19/1.55 ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), T ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), T ) ), U ) ) ), ~(
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), X ), 'tc_nat' ),
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ), U ) ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), 'tc_nat' ),
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.55 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), T ) ), Y ) ), Z ),
% 1.19/1.55 'tc_nat' ), U ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), X ) )
% 1.19/1.55 ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ) ), T ),
% 1.19/1.55 'tc_nat' ), U ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), T ), 'tc_nat' ),
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), U ) ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.19/1.55 ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ) ),
% 1.19/1.55 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.19/1.55 ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ),
% 1.19/1.55 ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.19/1.55 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.19/1.55 ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ) ),
% 1.19/1.55 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.19/1.55 ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ),
% 1.19/1.55 ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.19/1.55 ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.19/1.55 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.19/1.55 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ) ), Z )
% 1.19/1.55 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', X
% 1.19/1.55 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ),
% 1.19/1.55 ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.19/1.55 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T )
% 1.19/1.55 , U ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( U, X ), Z ) ) ),
% 1.19/1.55 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.19/1.55 ), X ), U ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~(
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.19/1.55 X ), Y ) ) ) ],
% 1.19/1.55 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.19/1.55 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.19/1.55 ) ), Z ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ),
% 1.19/1.55 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.19/1.55 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'(
% 1.19/1.55 Y, X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 1.19/1.55 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.19/1.55 , Z ) ],
% 1.19/1.55 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.19/1.55 , Z ) ],
% 1.19/1.55 [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.19/1.55 hAPP( 'c_Suc', Y ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X,
% 1.19/1.55 'tc_nat' ), Y ) ) ],
% 1.19/1.55 [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ),
% 1.19/1.55 hAPP( 'c_Suc', X ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y,
% 1.19/1.55 'tc_nat' ), X ) ) ],
% 1.19/1.55 [ =( X, Y ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y )
% 1.19/1.55 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP(
% 1.19/1.55 'c_Suc', Y ) ) ) ) ],
% 1.19/1.55 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.19/1.55 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.19/1.55 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.19/1.55 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.19/1.55 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 'tc_nat' ) ) ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.19/1.55 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z
% 1.19/1.55 , X ), Y ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.19/1.55 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), X ), Y ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.19/1.55 ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.19/1.55 , X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) )
% 1.19/1.55 ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.19/1.55 ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ) ),
% 1.19/1.55 ~( hBOOL( hAPP( 'c_lessequals'( U, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), U ) ) )
% 1.19/1.55 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ), ~(
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X
% 1.19/1.55 ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.19/1.55 X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.19/1.55 X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.19/1.55 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.19/1.55 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Y ), X ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.19/1.55 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Y ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.19/1.55 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ), =( Y, hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), X ) ) ],
% 1.19/1.55 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.19/1.55 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.19/1.55 'tc_nat' ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.19/1.55 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.19/1.55 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.19/1.55 'tc_nat' ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ),
% 1.19/1.55 =( Z, T ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( 'c_Suc', Y ) ) ),
% 1.19/1.55 ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 'tc_nat' ) ), 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 'tc_nat' ) ), 'tc_nat' ), X ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 'tc_nat' ) ), 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 'tc_nat' ) ), 'tc_nat' ), X ) ) ) ],
% 1.19/1.55 [ ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), X ) )
% 1.19/1.55 ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y
% 1.19/1.55 , 'tc_nat' ), X ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.19/1.55 'tc_nat' ), X ), Z ), 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.19/1.55 , 'tc_nat' ), X ) ) ) ],
% 1.19/1.55 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.19/1.55 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.19/1.55 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.19/1.55 'tc_bool' ) ) ) ],
% 1.19/1.55 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.19/1.55 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.19/1.55 ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ),
% 1.19/1.55 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.19/1.55 ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.19/1.55 ), T ), Y ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ),
% 1.19/1.55 Z ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Oone__class_Oone'( X ), X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.19/1.55 ), Y ), Z ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.19/1.55 T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.19/1.55 ), T ), Y ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ),
% 1.19/1.55 Z ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Oone__class_Oone'( X ), X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.19/1.55 ), Y ), Z ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.19/1.55 T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), T ) )
% 1.19/1.55 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.19/1.55 X ), X ), Y ) ) ) ],
% 1.19/1.55 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), Y ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), X ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.55 'tc_nat' ), X ), Z ), 'tc_nat' ), Y ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), Z ) ), ~(
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.19/1.55 X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.19/1.55 ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.19/1.55 ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), Y ) ) ),
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.19/1.55 X ), Z ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z
% 1.19/1.55 ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ),
% 1.19/1.55 ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.19/1.55 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.19/1.55 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ),
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.19/1.55 X ), T ) ) ],
% 1.19/1.55 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 1.19/1.55 'tc_bool' ) ), X ) ],
% 1.19/1.55 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.19/1.55 ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.19/1.55 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.19/1.55 ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.19/1.55 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 X ), X ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.19/1.55 ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.19/1.55 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 X ), X ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.19/1.55 ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.19/1.55 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.55 'tc_nat' ), Z ), X ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.55 'tc_nat' ), Z ), Y ) ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 'tc_nat' ) ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.55 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc',
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), Y ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.19/1.55 ) ), 'tc_nat' ), X ) ) ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.19/1.55 , X ), Y ) ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.19/1.55 ), Y ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), X ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X
% 1.19/1.55 , 'tc_nat' ), Z ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), X ) ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.55 T, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) )
% 1.19/1.55 ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.19/1.55 , X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), Z ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.55 Y, X ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) )
% 1.19/1.55 ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.19/1.55 ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.19/1.55 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 'c_Suc',
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.19/1.55 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 1.19/1.55 'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ), =( Y, Z ) ],
% 1.19/1.55 [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.19/1.55 hAPP( 'c_Suc', Y ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ),
% 1.19/1.55 X ) ) ) ],
% 1.19/1.55 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Y ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), hAPP(
% 1.19/1.55 'c_Suc', Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) )
% 1.19/1.55 ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), hAPP( 'c_Suc', Y ) ) ) )
% 1.19/1.55 ],
% 1.19/1.55 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.19/1.55 , X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z, X ), Y ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, 'tc_nat' ), X ) ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.19/1.55 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X,
% 1.19/1.55 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ), X ), =( U,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_SEQ_OLIMSEQ'( Z, U, X ) ), ~(
% 1.19/1.55 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.55 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ),
% 1.19/1.55 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ) ],
% 1.19/1.55 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.19/1.55 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.19/1.55 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.19/1.55 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ), Z, X ), ~(
% 1.19/1.55 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( Y, Z, X
% 1.19/1.55 ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ), Z
% 1.19/1.55 , X ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.55 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.19/1.55 'tc_nat' ), X ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.55 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.19/1.55 'tc_nat' ), Y ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Lim_OLIM'( hAPP(
% 1.19/1.55 'c_COMBC'( 'c_HOL_Oinverse__class_Odivide'( X ), X, X, X ), Y ), Z, hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X, X ) ],
% 1.19/1.55 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.19/1.55 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.19/1.55 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 'tc_nat' ), 'tc_nat' ), X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.19/1.55 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X )
% 1.19/1.55 ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.19/1.55 Z ), 'tc_nat' ), Y ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 1.19/1.55 X ), 'tc_nat' ), Y ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.55 Y, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) )
% 1.19/1.55 ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z
% 1.19/1.55 , X ), Y ) ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.55 Y, X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Y ) )
% 1.19/1.55 ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.19/1.55 , X ), Y ) ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.19/1.55 , X ), Z ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z
% 1.19/1.55 , X ), Y ) ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.55 Y, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) )
% 1.19/1.55 ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.19/1.55 X ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.19/1.55 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.19/1.55 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ) ],
% 1.19/1.55 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~(
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 'tc_nat' ), 'tc_nat' ), X ) ) ), =( Y, Z ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat'
% 1.19/1.55 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) )
% 1.19/1.55 ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), 'tc_nat'
% 1.19/1.55 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), X ) ) ) )
% 1.19/1.55 ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.55 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.19/1.55 'tc_nat' ), X ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z )
% 1.19/1.55 , X ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.19/1.55 Z ), Y ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Z ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.19/1.55 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), X ), 'tc_nat' ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.19/1.55 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ) ],
% 1.19/1.55 [ =( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X
% 1.19/1.55 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( Y, X ), Z ) ) ],
% 1.19/1.55 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ],
% 1.19/1.55 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.19/1.55 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.19/1.55 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 1.19/1.55 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.19/1.55 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.19/1.55 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ],
% 1.19/1.55 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ), T ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), T ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.55 'tc_nat' ), hAPP( 'c_Suc', Z ) ), X ), 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', Z ) ), Y ) ) ) )
% 1.19/1.55 ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ),
% 1.19/1.55 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.19/1.55 'c_Suc', X ) ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y,
% 1.19/1.55 'tc_nat' ), Z ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' )
% 1.19/1.55 , Y ) ), =( hAPP( 'c_Suc', X ), Y ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ),
% 1.19/1.55 hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ],
% 1.19/1.55 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( 'c_Suc', Y ), 'tc_nat' ), X ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), Z ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.19/1.55 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.19/1.55 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.19/1.55 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.19/1.55 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.19/1.55 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.19/1.55 hAPP( 'c_Suc', Z ) ), X ), 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', Z ) ), Y ) ) ) )
% 1.19/1.55 ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.55 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Z ) ) ),
% 1.19/1.55 ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.19/1.55 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.19/1.55 ), Z ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.19/1.55 ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.19/1.55 X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.19/1.55 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), hAPP(
% 1.19/1.55 'c_Suc', X ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), X ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.19/1.55 'tc_nat' ), X ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.55 'tc_nat' ), Z ), X ), 'tc_nat' ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.19/1.55 'tc_nat' ), Z ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.19/1.55 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X,
% 1.19/1.55 'tc_nat' ), Z ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.19/1.55 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y,
% 1.19/1.55 'tc_nat' ), Z ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.19/1.55 'tc_nat' ), X ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.19/1.55 'tc_nat' ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.19/1.55 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.19/1.55 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.19/1.55 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.19/1.55 X ), T ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.19/1.55 X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.19/1.55 ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.19/1.55 X ), Z ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.19/1.55 X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Z ) ) ),
% 1.19/1.55 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.19/1.55 , X ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' )
% 1.19/1.55 , hAPP( 'c_Suc', Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X,
% 1.19/1.55 'tc_nat' ), Y ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' ), hAPP(
% 1.19/1.55 'c_Suc', Y ) ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' )
% 1.19/1.55 , hAPP( 'c_Suc', Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X,
% 1.19/1.55 'tc_nat' ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.19/1.55 ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.19/1.55 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.19/1.55 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.19/1.55 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.19/1.55 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.19/1.55 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( T, 'tc_nat' ), Z ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 X ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( T, 'tc_nat' ), Z ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 X ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', Z ) ), T ) ),
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), T ) ) ), Y ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( T, 'tc_nat' ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.19/1.55 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, hAPP( 'c_Suc', T ),
% 1.19/1.55 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( T, 'tc_nat' ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.19/1.55 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, hAPP( 'c_Suc', T ),
% 1.19/1.55 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.55 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.19/1.55 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ) ) ), hAPP(
% 1.19/1.55 Y, T ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, 'tc_nat' ), Z ) )
% 1.19/1.55 ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.19/1.55 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ) ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, Z ) ), hAPP( hAPP(
% 1.19/1.55 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.19/1.55 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc', Z ), T,
% 1.19/1.55 'tc_nat' ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat'
% 1.19/1.55 ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.19/1.55 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.55 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 1.19/1.55 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 1.19/1.55 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, T, X
% 1.19/1.55 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.19/1.55 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.19/1.55 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.55 'tc_nat' ), X ), Y ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.55 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.19/1.55 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( Y ) ), Z ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.19/1.55 'tc_nat' ), X ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.19/1.55 , T ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y )
% 1.19/1.55 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.19/1.55 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.19/1.55 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~(
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.19/1.55 , T ), Y ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.19/1.55 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.19/1.55 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.19/1.55 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ), ~(
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.19/1.55 X ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.19/1.55 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.19/1.55 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.55 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.19/1.55 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.19/1.55 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.19/1.55 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ), ~(
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.19/1.55 X ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.19/1.55 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.19/1.55 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~(
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.19/1.55 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.19/1.55 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( T, X ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.55 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.19/1.55 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.19/1.55 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.19/1.55 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~(
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.19/1.55 X ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.19/1.55 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.19/1.55 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Y ) ) ), ~(
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.19/1.55 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), =( Y,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), =( Z,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.19/1.55 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z
% 1.19/1.55 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.19/1.55 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.19/1.55 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ), Z ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.19/1.55 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z )
% 1.19/1.55 , Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.19/1.55 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z )
% 1.19/1.55 , Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.55 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.19/1.55 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.55 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.19/1.55 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 X ), X ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.55 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.19/1.55 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 X ), X ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.19/1.55 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~(
% 1.19/1.55 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) )
% 1.19/1.55 ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.19/1.55 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~(
% 1.19/1.55 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) )
% 1.19/1.55 ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.19/1.55 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), ~(
% 1.19/1.55 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) )
% 1.19/1.55 ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.19/1.55 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~(
% 1.19/1.55 hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.19/1.55 ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.19/1.55 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), ~(
% 1.19/1.55 hBOOL( hAPP( 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.19/1.55 ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.19/1.55 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), ~(
% 1.19/1.55 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) )
% 1.19/1.55 ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.19/1.55 , T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.19/1.55 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), ~(
% 1.19/1.55 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) )
% 1.19/1.55 ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.19/1.55 , Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.19/1.55 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.19/1.55 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.55 X ), Y ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.19/1.55 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.55 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.19/1.55 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.19/1.55 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.19/1.55 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.19/1.55 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.19/1.55 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.19/1.55 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.19/1.55 ), Y ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ),
% 1.19/1.55 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.19/1.55 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.19/1.55 ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ),
% 1.19/1.55 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.19/1.55 , Z ), Y ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y )
% 1.19/1.55 ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ) ), =( U,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.19/1.55 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), =( Z,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 'c_HOL_Ozero__class_Ozero'( X )
% 1.19/1.55 ), =( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), U ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.19/1.55 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.55 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.19/1.55 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.19/1.55 ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.55 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z )
% 1.19/1.55 , T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.55 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z )
% 1.19/1.55 , T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), =( Y,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), =( Z,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.19/1.55 ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.19/1.55 ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.19/1.55 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.19/1.55 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.19/1.55 ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.19/1.55 ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.55 X ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T )
% 1.19/1.55 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.19/1.55 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.19/1.55 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.19/1.55 ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.19/1.55 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 X ), X ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y
% 1.19/1.55 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X
% 1.19/1.55 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.55 Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z
% 1.19/1.55 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.19/1.55 'c_COMBB'( Y, Z, X, X, X ), T, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.55 X ), U ), W ), X ), ~( 'c_Deriv_Oderiv'( Z, T, W, X ) ), ~(
% 1.19/1.55 'c_Deriv_Oderiv'( Y, hAPP( Z, T ), U, X ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.19/1.55 'c_COMBB'( Y, Z, X, X, X ), T, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.55 X ), U ), W ), X ), ~( 'c_Deriv_Oderiv'( Y, hAPP( Z, T ), U, X ) ), ~(
% 1.19/1.55 'c_Deriv_Oderiv'( Z, T, W, X ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.19/1.55 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), T, X, X, Y ), U, hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), W ), Y, X ), ~( 'c_Lim_OLIM'( T,
% 1.19/1.55 U, W, Y, X ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.19/1.55 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, X ), T
% 1.19/1.55 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ), X ), ~(
% 1.19/1.55 'c_Deriv_Oderiv'( Z, T, U, X ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.55 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U
% 1.19/1.55 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.55 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U
% 1.19/1.55 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.19/1.55 X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.19/1.55 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y )
% 1.19/1.55 , T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.19/1.55 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.19/1.55 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y )
% 1.19/1.55 , T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.19/1.55 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.19/1.55 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.19/1.55 , Y ), T ), X ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.19/1.55 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.19/1.55 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.19/1.55 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.19/1.55 , X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.19/1.55 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.19/1.55 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.19/1.55 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.19/1.55 , T ), Z ), X ), Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.19/1.55 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X
% 1.19/1.55 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.19/1.55 , T ), Z ), X ), Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.19/1.55 , Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X )
% 1.19/1.55 , 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.19/1.55 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.19/1.55 X ), Y ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ),
% 1.19/1.55 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.19/1.55 X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.19/1.55 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.19/1.55 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.19/1.55 , Y ), T ), X ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.19/1.55 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.19/1.55 , Y ), T ), X ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.19/1.55 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.19/1.55 , T ), Z ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.19/1.55 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.19/1.55 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X
% 1.19/1.55 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.19/1.55 , T ), Z ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.19/1.55 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.55 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U
% 1.19/1.55 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.19/1.55 X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 X ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), U )
% 1.19/1.55 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.19/1.55 , Y ), T ), X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.19/1.55 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.19/1.55 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ), ~(
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.19/1.55 X ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.19/1.55 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.19/1.55 , Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.19/1.55 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.19/1.55 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.55 X ), Y ), T ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T
% 1.19/1.55 ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.55 X ), T ), Y ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.19/1.55 ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.19/1.55 , Y ), T ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T )
% 1.19/1.55 ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.19/1.55 , T ), Y ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.19/1.55 ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.55 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U
% 1.19/1.55 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.19/1.55 X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.19/1.55 , ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.19/1.55 , ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.19/1.55 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~(
% 1.19/1.55 hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.19/1.55 ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.19/1.55 ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.19/1.55 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~(
% 1.19/1.55 hBOOL( hAPP( 'c_lessequals'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.19/1.55 ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ) ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.19/1.55 ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.19/1.55 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.19/1.55 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), ~(
% 1.19/1.55 hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.19/1.55 ), Y ), T ), X ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.19/1.55 ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.19/1.55 X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.55 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.55 X ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~(
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.19/1.55 X ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.19/1.55 ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.19/1.55 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.19/1.55 ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.19/1.55 'c_HOL_Oone__class_Oone'( X ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.55 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.19/1.55 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.19/1.55 ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.55 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.19/1.55 ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.55 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.55 X ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T )
% 1.19/1.55 ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.19/1.55 ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.19/1.55 'class_RealVector_Ometric__space'( Y ) ), ~(
% 1.19/1.55 'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OLIM'( 'c_COMBB'( T, U,
% 1.19/1.55 X, Y, Z ), W, hAPP( T, V0 ), Z, Y ), ~( 'c_Lim_OLIM'( U, W, V0, Z, X ) )
% 1.19/1.55 , ~( 'c_Lim_OLIM'( T, V0, hAPP( T, V0 ), X, Y ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.19/1.55 , Z ), T ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.19/1.55 ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.19/1.55 , T ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y )
% 1.19/1.55 ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OLIM'(
% 1.19/1.55 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X, X ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.19/1.55 Y ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.19/1.55 Y ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.19/1.55 Y ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.19/1.55 Y ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.19/1.55 Y ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.19/1.55 Y ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.19/1.55 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, Y, X ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z )
% 1.19/1.55 , T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( U, X ), T ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.19/1.55 , Z ), U ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.55 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.55 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.19/1.55 ), T ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) )
% 1.19/1.55 ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.55 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.55 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T
% 1.19/1.55 ), Y ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) )
% 1.19/1.55 ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z
% 1.19/1.55 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~(
% 1.19/1.55 hBOOL( hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), T ),
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ),
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ),
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), T ),
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.55 , hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.19/1.55 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z )
% 1.19/1.55 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.55 , hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X
% 1.19/1.55 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.55 , hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.19/1.55 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T )
% 1.19/1.55 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.55 , hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), X
% 1.19/1.55 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z
% 1.19/1.55 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~(
% 1.19/1.55 hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z
% 1.19/1.55 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~(
% 1.19/1.55 hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.19/1.55 hAPP( 'c_Suc', T ) ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.19/1.55 ), Z ), hAPP( 'c_Suc', T ) ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.19/1.55 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ) )
% 1.19/1.55 , =( Y, T ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 X ), X ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.19/1.55 ), Y ), T ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.19/1.55 T ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), U ), Z ) ) ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), U ) ) ), Z ) ), =( Y,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), ~(
% 1.19/1.55 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( 'c_COMBC'(
% 1.19/1.55 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Z, X, 'tc_fun'( X, X ),
% 1.19/1.55 Y ), Y, X, X ), T ), U, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.19/1.55 , W ), T ), Y, X ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.19/1.55 hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X,
% 1.19/1.55 'tc_fun'( X, X ), X ), X, X, X ), Z ), T, hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), U ), Z ), X ), ~( 'c_Deriv_Oderiv'(
% 1.19/1.55 Y, T, U, X ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( U, X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), Y
% 1.19/1.55 ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Z, X ), Y ) ), ~( hBOOL( hAPP( 'c_lessequals'( U, X ), T
% 1.19/1.55 ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( T, X ), U ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( T, X ), U ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.19/1.55 ), Y ), Z ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ),
% 1.19/1.55 Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Z ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~(
% 1.19/1.55 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.19/1.55 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.19/1.55 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.19/1.55 ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.19/1.55 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.19/1.55 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 'tc_nat' ), 'tc_nat' ), X ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.19/1.55 ) ) ],
% 1.19/1.55 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 'tc_nat' ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.19/1.55 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.55 Y, X ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.19/1.55 , Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.19/1.55 , Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.55 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.19/1.55 Y ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.55 X ), Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.19/1.55 ) ), Z ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.55 X ), Z ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.19/1.55 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.19/1.55 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.19/1.55 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z )
% 1.19/1.55 , X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ), ~(
% 1.19/1.55 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) )
% 1.19/1.55 ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.19/1.55 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.19/1.55 hAPP( 'c_Suc', Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.19/1.55 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.19/1.55 ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ), =( Z,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OLIM'(
% 1.19/1.55 hAPP( 'c_COMBC'( 'c_HOL_Otimes__class_Otimes'( X ), X, X, X ), Y ), Z,
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X, X ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.19/1.55 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X,
% 1.19/1.55 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.19/1.55 , ~( 'c_SEQ_OLIMSEQ'( Z, T, X ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ),
% 1.19/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ),
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ) ],
% 1.19/1.55 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 'tc_nat' ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.19/1.55 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y,
% 1.19/1.55 'tc_nat' ), X ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.19/1.55 'tc_nat' ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X
% 1.19/1.55 ) ) ) ) ],
% 1.19/1.55 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.55 X, 'tc_nat' ), Y ) ) ) ],
% 1.19/1.55 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.55 X, 'tc_nat' ), Y ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), X ) ),
% 1.19/1.55 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 'tc_nat' ), 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.19/1.55 'tc_nat' ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.19/1.55 hAPP( 'c_COMBC'( 'c_COMBB'( 'c_Power_Opower__class_Opower'( X ), Y, X,
% 1.19/1.55 'tc_fun'( 'tc_nat', X ), X ), X, 'tc_nat', X ), Z ), T, hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'(
% 1.19/1.55 Z, X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), hAPP( Y, T ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), hAPP( 'c_Suc',
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ), X ), ~(
% 1.19/1.55 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.19/1.55 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.19/1.55 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 1.19/1.55 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.19/1.55 Y, Z, X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.19/1.55 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.19/1.55 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.19/1.55 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.19/1.55 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.19/1.55 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.19/1.55 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.55 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.19/1.55 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 1.19/1.55 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.55 ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.19/1.55 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.55 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.19/1.55 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 1.19/1.55 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) )
% 1.19/1.55 , ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.19/1.55 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 1.19/1.55 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.19/1.55 [ =( 'c_FFT__Mirabelle_Oroot'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.19/1.55 , 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'v_i', 'tc_nat' ), 'v_n' ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.19/1.55 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X,
% 1.19/1.55 'tc_fun'( X, X ), X ), Z, X, X, X ), T, hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), U ), hAPP( Z, T ) ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), W ), hAPP( Y, T ) ) ) ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), hAPP( Z, T ) ), hAPP( 'c_Suc', hAPP(
% 1.19/1.55 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ), X ), =( hAPP( Z
% 1.19/1.55 , T ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Deriv_Oderiv'( Z, T, W, X
% 1.19/1.55 ) ), ~( 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.19/1.55 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X,
% 1.19/1.55 'tc_fun'( X, X ), X ), Z, X, X, X ), T, hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), U ), hAPP( Z, T ) ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( Y, T ) ), W ) ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( Z, T ) ), hAPP( Z, T ) ) ), X )
% 1.19/1.55 , =( hAPP( Z, T ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Deriv_Oderiv'(
% 1.19/1.55 Z, T, W, X ) ), ~( 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.19/1.55 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.19/1.55 , 'c_FFT__Mirabelle_Oroot'( X ) ), X ), 'c_HOL_Oone__class_Oone'(
% 1.19/1.55 'tc_Complex_Ocomplex' ) ) ],
% 1.19/1.55 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc', X ), Y
% 1.19/1.55 , 'tc_nat' ), 'c_SetInterval_Oord__class_OgreaterThanLessThan'( X, Y,
% 1.19/1.55 'tc_nat' ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ) ),
% 1.19/1.55 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 'tc_nat' ), Z, 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.19/1.55 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), 'c_HOL_Oone__class_Oone'(
% 1.19/1.55 X ) ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ),
% 1.19/1.55 'c_HOL_Oone__class_Oone'( X ) ) ) ), =( Y, 'c_HOL_Oone__class_Oone'( X )
% 1.19/1.55 ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.19/1.55 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), T, X, X, Y ), U,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.19/1.55 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), T, X, X, Y ), U,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.19/1.55 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y
% 1.19/1.55 , X ), ~( 'c_Lim_OLIM'( 'c_COMBB'( Z, hAPP( 'c_HOL_Oplus__class_Oplus'( Y
% 1.19/1.55 ), T ), Y, X, Y ), 'c_HOL_Ozero__class_Ozero'( Y ), U, Y, X ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.19/1.55 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 1.19/1.55 Z, hAPP( 'c_HOL_Oplus__class_Oplus'( Y ), T ), Y, X, Y ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( Y ), U, Y, X ), ~( 'c_Lim_OLIM'( Z, T, U, Y,
% 1.19/1.55 X ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.19/1.55 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, hAPP( Z, T
% 1.19/1.55 ), X, Y ), ~( 'c_Lim_OLIM'( 'c_COMBB'( Z, hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), T ), X, Y, X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.19/1.55 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( Z,
% 1.19/1.55 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), X, Y, X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ), ~( 'c_Lim_OLIM'( Z
% 1.19/1.55 , T, hAPP( Z, T ), X, Y ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ) ), =( Y,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ) ), =( Z,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.55 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.19/1.55 ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.55 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ), X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.19/1.55 ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), Z ) ), =( Z,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), T ) ), =( T,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.55 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.19/1.55 ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.19/1.55 ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.19/1.55 ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), X ), W ) ),
% 1.19/1.55 ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.19/1.55 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), X ),
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.55 X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.55 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.19/1.55 ), X ), W ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.55 X ), Z ), U ) ), W ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.55 X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__field'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), W ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.55 X ), Y ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ), W ) ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), W ) ), U ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), X ), W ) ),
% 1.19/1.55 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.55 X ), Y ), T ) ), U ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ) ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), X ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), X ), W ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.55 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.55 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), X )
% 1.19/1.55 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), X ), hAPP(
% 1.19/1.55 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( T, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.55 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.19/1.55 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( 'c_COMBC'(
% 1.19/1.55 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.19/1.55 , Y, X, X ), T ), U, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), W ),
% 1.19/1.55 T ), Y, X ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.19/1.55 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.19/1.55 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.19/1.55 , T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), W ), V0
% 1.19/1.55 ), Y, X ), ~( 'c_Lim_OLIM'( T, U, V0, Y, X ) ), ~( 'c_Lim_OLIM'( Z, U, W
% 1.19/1.55 , Y, X ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.19/1.55 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X
% 1.19/1.55 , X ), X ), Z, X, X, X ), T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.19/1.55 , U ), W ), X ), ~( 'c_Deriv_Oderiv'( Z, T, W, X ) ), ~( 'c_Deriv_Oderiv'(
% 1.19/1.55 Y, T, U, X ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.19/1.55 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.19/1.55 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Z, X, 'tc_fun'( X, X ), Y ),
% 1.19/1.55 T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), W ), V0 ),
% 1.19/1.55 Y, X ), ~( 'c_Lim_OLIM'( T, U, V0, Y, X ) ), ~( 'c_Lim_OLIM'( Z, U, W, Y
% 1.19/1.55 , X ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.19/1.55 hAPP( 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.19/1.55 ) ), Y ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.19/1.55 ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.19/1.55 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.19/1.55 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.19/1.55 ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 X ) ) ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.19/1.55 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.19/1.55 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.19/1.55 , T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), W ), V0
% 1.19/1.55 ), Y, X ), ~( 'c_Lim_OLIM'( T, U, V0, Y, X ) ), ~( 'c_Lim_OLIM'( Z, U, W
% 1.19/1.55 , Y, X ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.19/1.55 'c_COMBS'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'(
% 1.19/1.55 X, X ), X ), Z, X, X, X ), T, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.19/1.55 ), U ), W ), X ), ~( 'c_Deriv_Oderiv'( Z, T, W, X ) ), ~(
% 1.19/1.55 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.19/1.55 Y, X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ),
% 1.19/1.55 hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Z, X,
% 1.19/1.55 'tc_fun'( X, X ), Y ), Y, X, X ), U ) ), T ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.19/1.55 Y, X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ),
% 1.19/1.55 hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Z, X,
% 1.19/1.55 'tc_fun'( X, X ), Y ), Y, X, X ), U ) ), T ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.19/1.55 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'(
% 1.19/1.55 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_SEQ_OLIMSEQ'( Z,
% 1.19/1.55 U, X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.19/1.55 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X
% 1.19/1.55 , X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 'c_SEQ_OLIMSEQ'( Z, U
% 1.19/1.55 , X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.19/1.55 hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X,
% 1.19/1.55 'tc_fun'( X, X ), 'tc_nat' ), 'tc_nat', X, X ), Z ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y,
% 1.19/1.55 T, X ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.19/1.55 hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X,
% 1.19/1.55 'tc_fun'( X, X ), 'tc_nat' ), 'tc_nat', X, X ), Z ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y, T
% 1.19/1.55 , X ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.19/1.55 'c_COMBS'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'(
% 1.19/1.55 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( X ), T ), U ), X ), ~( 'c_SEQ_OLIMSEQ'( Z,
% 1.19/1.55 U, X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.19/1.55 hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Y, X,
% 1.19/1.55 'tc_fun'( X, X ), 'tc_nat' ), 'tc_nat', X, X ), Z ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y,
% 1.19/1.55 T, X ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.19/1.55 'tc_nat', X ), Y ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T,
% 1.19/1.55 'tc_nat' ) ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.19/1.55 'c_SetInterval_Oord__class_OatLeastLessThan'( T, U, 'tc_nat' ) ) ), hAPP(
% 1.19/1.55 hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.19/1.55 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, U, 'tc_nat' ) ) ), ~(
% 1.19/1.55 hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), U ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Z, 'tc_nat' ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.19/1.55 'tc_nat', X ), Y ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T,
% 1.19/1.55 'tc_nat' ) ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.19/1.55 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, U, 'tc_nat' ) ) ), hAPP(
% 1.19/1.55 hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.19/1.55 'c_SetInterval_Oord__class_OatLeastLessThan'( U, T, 'tc_nat' ) ) ), ~(
% 1.19/1.55 hBOOL( hAPP( 'c_lessequals'( U, 'tc_nat' ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Z, 'tc_nat' ), U ) ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.19/1.55 'class_Power_Opower'( X ) ), ~( 'class_RealVector_Ometric__space'( Y ) )
% 1.19/1.55 , 'c_Lim_OLIM'( hAPP( 'c_COMBC'( 'c_COMBB'(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Z, X, 'tc_fun'( 'tc_nat', X ), Y ),
% 1.19/1.55 Y, 'tc_nat', X ), T ), U, hAPP( hAPP( 'c_Power_Opower__class_Opower'( X )
% 1.19/1.55 , W ), T ), Y, X ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.19/1.55 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 'tc_nat' ) ) ],
% 1.19/1.55 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( Y
% 1.19/1.55 , Z ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.19/1.55 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( X
% 1.19/1.55 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.19/1.55 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), =( Y
% 1.19/1.55 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.19/1.55 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.19/1.55 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.19/1.55 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 'tc_nat' ) ), Y ) ) ],
% 1.19/1.55 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 'tc_nat' ) ) ) ],
% 1.19/1.55 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) )
% 1.19/1.55 ) ],
% 1.19/1.55 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.19/1.55 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.19/1.55 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.19/1.55 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 1.19/1.55 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.19/1.55 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 1.19/1.55 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.19/1.55 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.19/1.55 'tc_nat' ), X ) ) ],
% 1.19/1.55 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.19/1.55 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.19/1.55 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 1.19/1.55 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.19/1.55 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 1.19/1.55 X ) ) ],
% 1.19/1.55 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.55 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 1.19/1.55 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.19/1.55 [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.55 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.19/1.55 ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), Z ) ) )
% 1.19/1.55 , hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), Z ) ), =( Y,
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.55 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.55 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 1.19/1.55 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.19/1.55 ) ) ) ],
% 1.19/1.55 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.19/1.55 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.19/1.55 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.19/1.55 ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y )
% 1.19/1.55 , 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.19/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.19/1.55 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 1.19/1.55 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'(
% 1.19/1.55 Y, X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.19/1.55 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP( 'c_Suc', Y ) ),
% 1.19/1.55 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), X ) ) ) ],
% 1.19/1.55 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.19/1.55 , X ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ),
% 1.19/1.55 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.55 'tc_nat' ), 'tc_nat' ), X ) ) ) ],
% 1.19/1.55 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.55 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.19/1.55 'c_SetInterval_Oord__class_OatMost'( hAPP( 'c_Suc', Z ), 'tc_nat' ) ),
% 1.19/1.55 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.55 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.19/1.55 'c_SetInterval_Oord__class_OatMost'( Z, 'tc_nat' ) ) ), hAPP( Y, hAPP(
% 1.19/1.55 'c_Suc', Z ) ) ) ) ],
% 1.19/1.55 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 1.19/1.55 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.19/1.55 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 1.19/1.55 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 1.19/1.55 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.19/1.55 hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X,
% 1.19/1.55 'tc_fun'( X, X ), 'tc_nat' ), 'tc_nat', X, X ), Z ), hAPP( hAPP(
% 1.19/1.55 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'(
% 1.19/1.55 Y, T, X ) ) ],
% 1.19/1.55 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.19/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.19/1.55 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 1.19/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ), hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( Y, X ), Z ) ) ],
% 1.19/1.55 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.19/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.19/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.19/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 1.19/1.55 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.19/1.55 X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.19/1.55 X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.19/1.55 Y, X ) ) ) ],
% 1.19/1.55 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.19/1.55 Z, X ) ) ) ],
% 1.19/1.55 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.19/1.55 X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.19/1.55 ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ) ],
% 1.19/1.55 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.19/1.55 ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ) ],
% 1.19/1.55 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.19/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.19/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ) ), ~( hBOOL(
% 1.19/1.55 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.19/1.55 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), X ), Z ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), Z ) ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.19/1.55 T, X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.19/1.55 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.19/1.55 'c_lessequals'( Y, X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.19/1.56 T, X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.19/1.56 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.19/1.56 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), X ), Z ) ) ) ]
% 1.19/1.56 ,
% 1.19/1.56 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.19/1.56 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), Z ) ) ) ]
% 1.19/1.56 ,
% 1.19/1.56 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.19/1.56 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.19/1.56 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.19/1.56 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.19/1.56 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.19/1.56 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.19/1.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 1.19/1.56 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.19/1.56 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 1.19/1.56 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.19/1.56 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.19/1.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.19/1.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.19/1.56 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), Z ) ),
% 1.19/1.56 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.19/1.56 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.19/1.56 , X ) ), hAPP( 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.19/1.56 'tc_nat' ), X ), Y ) ) ],
% 1.19/1.56 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.19/1.56 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL(
% 1.19/1.56 hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP(
% 1.19/1.56 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.19/1.56 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.19/1.56 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.19/1.56 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.19/1.56 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.19/1.56 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.19/1.56 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.19/1.56 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ],
% 1.19/1.56 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ],
% 1.19/1.56 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ) ),
% 1.19/1.56 hAPP( 'c_Suc', Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.19/1.56 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z )
% 1.19/1.56 ) ],
% 1.19/1.56 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.19/1.56 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Y ), ~( hBOOL(
% 1.19/1.56 hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.19/1.56 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.19/1.56 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X )
% 1.19/1.56 , Z ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.19/1.56 Y ), Z ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ),
% 1.19/1.56 ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), X ) ) ) ],
% 1.19/1.56 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.19/1.56 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.19/1.56 'c_lessequals'( X, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y
% 1.19/1.56 , 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X )
% 1.19/1.56 ) ) ],
% 1.19/1.56 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.19/1.56 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.19/1.56 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.19/1.56 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.19/1.56 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.56 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.19/1.56 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.19/1.56 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.19/1.56 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~(
% 1.19/1.56 hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.56 'c_lessequals'( Y, 'tc_nat' ), X ) ) ), =( X, Z ) ],
% 1.19/1.56 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.19/1.56 'tc_nat' ), X ), Y ), 'tc_nat' ), X ) ) ],
% 1.19/1.56 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.19/1.56 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.19/1.56 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.19/1.56 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), ~( hBOOL( hAPP(
% 1.19/1.56 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y
% 1.19/1.56 , 'tc_nat' ), X ) ) ) ],
% 1.19/1.56 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), X ), Y ) ],
% 1.19/1.56 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Y ), X ) ],
% 1.19/1.56 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.19/1.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.19/1.56 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.19/1.56 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 1.19/1.56 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 1.19/1.56 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.19/1.56 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.56 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.19/1.56 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.19/1.56 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 1.19/1.56 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 1.19/1.56 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.19/1.56 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 1.19/1.56 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.56 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 1.19/1.56 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 1.19/1.56 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.19/1.56 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.19/1.56 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.56 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 1.19/1.56 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 1.19/1.56 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.19/1.56 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.56 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.19/1.56 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 1.19/1.56 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.19/1.56 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 1.19/1.56 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.19/1.56 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.56 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.19/1.56 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 1.19/1.56 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 1.19/1.56 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.19/1.56 'c_COMBB'( Y, hAPP( 'c_COMBC'( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.19/1.56 'tc_nat', 'tc_nat', 'tc_nat' ), Z ), 'tc_nat', X, 'tc_nat' ), T, X ), ~(
% 1.19/1.56 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.56 'tc_nat' ), 'tc_nat' ), Z ) ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.19/1.56 'c_COMBB'( Y, hAPP( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.19/1.56 'tc_nat', 'tc_nat', 'tc_nat' ), Z ), 'tc_nat', X, 'tc_nat' ), T, X ), ~(
% 1.19/1.56 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( Y, Z, X
% 1.19/1.56 ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( Y, hAPP( 'c_COMBC'(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'tc_nat', 'tc_nat', 'tc_nat' ), T
% 1.19/1.56 ), 'tc_nat', X, 'tc_nat' ), Z, X ) ) ],
% 1.19/1.56 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.19/1.56 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.56 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 1.19/1.56 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ), 'tc_fun'( X
% 1.19/1.56 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 1.19/1.56 ) ) ],
% 1.19/1.56 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'( X, hAPP( 'c_Suc', Y )
% 1.19/1.56 , 'tc_nat' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_nat',
% 1.19/1.56 'tc_bool' ) ) ), hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ],
% 1.19/1.56 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'( X, hAPP( 'c_Suc', Y )
% 1.19/1.56 , 'tc_nat' ), 'c_Set_Oinsert'( Y,
% 1.19/1.56 'c_SetInterval_Oord__class_OatLeastLessThan'( X, Y, 'tc_nat' ), 'tc_nat'
% 1.19/1.56 ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.19/1.56 hAPP( 'c_COMBC'( 'c_COMBB'( 'c_Power_Opower__class_Opower'( X ), Y, X,
% 1.19/1.56 'tc_fun'( 'tc_nat', X ), X ), X, 'tc_nat', X ), hAPP( 'c_Suc', Z ) ), T,
% 1.19/1.56 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.19/1.56 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), U ), hAPP( hAPP(
% 1.19/1.56 'c_Power_Opower__class_Opower'( X ), hAPP( Y, T ) ), Z ) ) ), X ), ~(
% 1.19/1.56 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.19/1.56 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'( X, hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), 'tc_nat' ),
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.56 'c_SetInterval_Oord__class_OatLeastLessThan'( X, Y, 'tc_nat' ),
% 1.19/1.56 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), 'tc_nat' ), 'tc_fun'(
% 1.19/1.56 'tc_nat', 'tc_bool' ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' )
% 1.19/1.56 , Y ) ) ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Lim_OLIM'(
% 1.19/1.56 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.19/1.56 'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'(
% 1.19/1.56 X, X ), X ), X, X, X ), hAPP( Y, Z ) ), X, 'tc_fun'( X, X ), X ), hAPP(
% 1.19/1.56 'c_COMBC'( 'c_HOL_Ominus__class_Ominus'( X ), X, X, X ), Z ), X, X, X ),
% 1.19/1.56 Z, T, X, X ), ~( 'c_Deriv_Oderiv'( Y, Z, T, X ) ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'( Y
% 1.19/1.56 , Z, T, X ), ~( 'c_Lim_OLIM'( 'c_COMBS'( 'c_COMBB'(
% 1.19/1.56 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_COMBC'( 'c_COMBB'(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), X ), X, X, X )
% 1.19/1.56 , hAPP( Y, Z ) ), X, 'tc_fun'( X, X ), X ), hAPP( 'c_COMBC'(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), X, X, X ), Z ), X, X, X ), Z, T, X, X
% 1.19/1.56 ) ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), ~(
% 1.19/1.56 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( 'c_COMBC'(
% 1.19/1.56 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Z, X, 'tc_fun'( X, X ),
% 1.19/1.56 Y ), Y, X, X ), T ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.19/1.56 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.19/1.56 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.19/1.56 , Y ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ),
% 1.19/1.56 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL(
% 1.19/1.56 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.19/1.56 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.19/1.56 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.56 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ), =( Y, T ), ~( hBOOL(
% 1.19/1.56 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.19/1.56 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.56 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.19/1.56 'class_Power_Opower'( X ) ), 'c_SEQ_OLIMSEQ'( hAPP( 'c_COMBC'( 'c_COMBB'(
% 1.19/1.56 'c_Power_Opower__class_Opower'( X ), Y, X, 'tc_fun'( 'tc_nat', X ),
% 1.19/1.56 'tc_nat' ), 'tc_nat', 'tc_nat', X ), Z ), hAPP( hAPP(
% 1.19/1.56 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y
% 1.19/1.56 , T, X ) ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.19/1.56 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc', Z ), hAPP(
% 1.19/1.56 'c_Suc', T ), 'tc_nat' ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat'
% 1.19/1.56 , X ), 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ) ),
% 1.19/1.56 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ) ) ) ],
% 1.19/1.56 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.19/1.56 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.56 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 1.19/1.56 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 1.19/1.56 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.56 ) ],
% 1.19/1.56 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'v_i' ), 'tc_nat' ), 'v_n'
% 1.19/1.56 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'v_n' ) )
% 1.19/1.56 ) ],
% 1.19/1.56 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'v_i' ), X ), 'tc_nat' ), 'v_n'
% 1.19/1.56 ) ) ],
% 1.19/1.56 [ =( 'c_SetInterval_Oord__class_OatMost'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.56 'tc_nat' ), 'tc_nat' ), 'c_Set_Oinsert'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.56 'tc_nat' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.56 ) ), 'tc_nat' ) ) ],
% 1.19/1.56 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'( X, hAPP( 'c_Suc', X )
% 1.19/1.56 , 'tc_nat' ), 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 1.19/1.56 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_nat' ) ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.19/1.56 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( 'c_COMBC'(
% 1.19/1.56 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.19/1.56 , Y, X, X ), T ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.19/1.56 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.19/1.56 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( 'c_COMBC'(
% 1.19/1.56 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.19/1.56 , Y, X, X ), T ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.19/1.56 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.19/1.56 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y, X ),
% 1.19/1.56 ~( 'c_Lim_OLIM'( hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'(
% 1.19/1.56 X ), Z, X, 'tc_fun'( X, X ), Y ), Y, X, X ), U ), T,
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.19/1.56 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( 'c_COMBC'(
% 1.19/1.56 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.19/1.56 , Y, X, X ), T ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.19/1.56 'c_Lim_OLIM'( Z, U, T, Y, X ) ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.19/1.56 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.19/1.56 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.19/1.56 , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.19/1.56 'c_Lim_OLIM'( T, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.19/1.56 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.19/1.56 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.19/1.56 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Z, X, 'tc_fun'( X, X ), Y ),
% 1.19/1.56 T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'(
% 1.19/1.56 T, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_Lim_OLIM'( Z, U,
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.19/1.56 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 1.19/1.56 Z, hAPP( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( Y ), Y, Y, Y ), T ), Y, X
% 1.19/1.56 , Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( Y ), U ), T ), W, Y, X )
% 1.19/1.56 , ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.19/1.56 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'(
% 1.19/1.56 X, X ), X ), Z, X, X, X ), T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.19/1.56 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( Y, T ) ), U ) ),
% 1.19/1.56 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), W ), hAPP( Z, T ) ) ), X )
% 1.19/1.56 , ~( 'c_Deriv_Oderiv'( Z, T, U, X ) ), ~( 'c_Deriv_Oderiv'( Y, T, W, X )
% 1.19/1.56 ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.19/1.56 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'(
% 1.19/1.56 X, X ), X ), Z, X, X, X ), T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.19/1.56 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), hAPP( Z, T ) ) ),
% 1.19/1.56 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), W ), hAPP( Y, T ) ) ), X )
% 1.19/1.56 , ~( 'c_Deriv_Oderiv'( Z, T, W, X ) ), ~( 'c_Deriv_Oderiv'( Y, T, U, X )
% 1.19/1.56 ) ],
% 1.19/1.56 [ =( 'c_FFT__Mirabelle_OIDFT'( X, Y, 'v_i' ), hAPP( hAPP(
% 1.19/1.56 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' ), 'c_COMBS'(
% 1.19/1.56 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ), Y,
% 1.19/1.56 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.19/1.56 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.19/1.56 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.19/1.56 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.56 'tc_nat' ), 'v_i' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.19/1.56 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ) ),
% 1.19/1.56 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.56 'tc_nat' ), X, 'tc_nat' ) ) ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.19/1.56 , Z, X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBS'( 'c_COMBB'(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), T
% 1.19/1.56 , 'tc_nat', X, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.19/1.56 'c_SEQ_OLIMSEQ'( T, Z, X ) ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.19/1.56 , Z, X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBS'( 'c_COMBB'(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), T, X, 'tc_fun'( X, X ), 'tc_nat' ), Y
% 1.19/1.56 , 'tc_nat', X, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.19/1.56 'c_SEQ_OLIMSEQ'( T, Z, X ) ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y,
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.19/1.56 ) ), =( hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.19/1.56 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc',
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_nat' ) ), hAPP( hAPP(
% 1.19/1.56 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.19/1.56 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.56 'tc_nat' ), Z, 'tc_nat' ) ) ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.19/1.56 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), U ), T ), 'tc_nat' ) ), hAPP(
% 1.19/1.56 hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), 'c_COMBB'( Y, hAPP(
% 1.19/1.56 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.19/1.56 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ) ),
% 1.19/1.56 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, U, 'tc_nat' ) ) ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, Z ) ), hAPP( hAPP(
% 1.19/1.56 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.19/1.56 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Z, T, 'tc_nat' ) ) ),
% 1.19/1.56 hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.19/1.56 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ) ) ), ~(
% 1.19/1.56 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), T ) ) ) ],
% 1.19/1.56 [ =( hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat',
% 1.19/1.56 'tc_Complex_Ocomplex' ), 'c_COMBS'( 'c_COMBB'(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), hAPP( 'c_COMBC'(
% 1.19/1.56 'c_COMBB'( 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' ),
% 1.19/1.56 'c_COMBB'( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.19/1.56 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_OIf'( 'tc_Complex_Ocomplex' ),
% 1.19/1.56 'c_lessequals'( 'v_i', 'tc_nat' ), 'tc_bool', 'tc_fun'(
% 1.19/1.56 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.19/1.56 'tc_Complex_Ocomplex' ) ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.19/1.56 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.19/1.56 'c_FFT__Mirabelle_Oroot'( 'v_n' ) ), hAPP( 'c_COMBC'(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.19/1.56 , 'v_i' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_nat',
% 1.19/1.56 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.19/1.56 'tc_Complex_Ocomplex' ) ), 'c_COMBB'( hAPP(
% 1.19/1.56 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ),
% 1.19/1.56 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ),
% 1.19/1.56 'c_FFT__Mirabelle_Oroot'( 'v_n' ) ) ), hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.19/1.56 'tc_nat' ), 'v_i' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.19/1.56 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.19/1.56 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_nat', 'tc_Complex_Ocomplex' ),
% 1.19/1.56 'tc_nat' ), 'tc_fun'( 'tc_nat', 'tc_Complex_Ocomplex' ), 'tc_fun'(
% 1.19/1.56 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Complex_Ocomplex' ), 'tc_nat' ),
% 1.19/1.56 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Complex_Ocomplex' ),
% 1.19/1.56 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.56 'tc_nat' ), 'v_n', 'tc_nat' ) ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.19/1.56 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'v_a',
% 1.19/1.56 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ) ),
% 1.19/1.56 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.56 'tc_nat' ), 'v_n', 'tc_nat' ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.19/1.56 'tc_nat', 'tc_Complex_Ocomplex' ), 'c_COMBS'( 'c_COMBB'(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), hAPP( 'c_COMBC'(
% 1.19/1.56 'c_COMBB'( 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' ),
% 1.19/1.56 'c_COMBB'( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.19/1.56 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.19/1.56 , 'c_FFT__Mirabelle_Oroot'( 'v_n' ) ), hAPP( 'c_COMBC'(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.19/1.56 , 'v_i' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.19/1.56 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_nat', 'tc_Complex_Ocomplex' ),
% 1.19/1.56 'tc_nat' ), 'tc_fun'( 'tc_nat', 'tc_Complex_Ocomplex' ), 'tc_fun'(
% 1.19/1.56 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Complex_Ocomplex' ), 'tc_nat' ),
% 1.19/1.56 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Complex_Ocomplex' ),
% 1.19/1.56 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.56 'tc_nat' ), 'v_n', 'tc_nat' ) ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.19/1.56 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'v_a',
% 1.19/1.56 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ) ),
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( 'v_i',
% 1.19/1.56 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_nat', 'tc_bool' ) ),
% 1.19/1.56 'tc_nat' ), 'c_SetInterval_Oord__class_OgreaterThanLessThan'( 'v_i',
% 1.19/1.56 'v_n', 'tc_nat' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ],
% 1.19/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( Y,
% 1.19/1.56 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 1.19/1.56 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ), 'tc_fun'( X
% 1.19/1.56 , 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X )
% 1.19/1.56 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.19/1.56 'c_Series_Osuminf'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X
% 1.19/1.56 ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), hAPP(
% 1.19/1.56 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.19/1.56 'tc_nat', X, X ), X ), hAPP( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.19/1.56 ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.19/1.56 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.56 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T )
% 1.19/1.56 , 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.56 'c_Finite__Set_Osetsum'( 'tc_nat', X ), 'c_COMBB'( Y, hAPP( 'c_COMBC'(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'tc_nat', 'tc_nat', 'tc_nat' ), T
% 1.19/1.56 ), 'tc_nat', X, 'tc_nat' ) ),
% 1.19/1.56 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.56 'tc_nat' ), Z, 'tc_nat' ) ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.19/1.56 'tc_nat', X ), Y ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, 'tc_nat' ) ) ) ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_Finite__Set_Osetsum'( 'tc_nat', X ), 'c_COMBB'( Y, hAPP( 'c_COMBC'(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'tc_nat', 'tc_nat', 'tc_nat' ), Z
% 1.19/1.56 ), 'tc_nat', X, 'tc_nat' ) ),
% 1.19/1.56 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.56 'tc_nat' ), T, 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.19/1.56 ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.19/1.56 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.56 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), Z )
% 1.19/1.56 , 'tc_nat' ) ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y )
% 1.19/1.56 , 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ) ) ],
% 1.19/1.56 [ =( 'c_FFT__Mirabelle_ODFT'( X, Y, 'v_i' ), hAPP( hAPP(
% 1.19/1.56 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' ), 'c_COMBS'(
% 1.19/1.56 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ),
% 1.19/1.56 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.19/1.56 , 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.56 'tc_nat' ), 'v_i' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.19/1.56 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.19/1.56 'tc_Complex_Ocomplex' ), 'tc_nat' ), Y, 'tc_nat', 'tc_Complex_Ocomplex',
% 1.19/1.56 'tc_Complex_Ocomplex' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.19/1.56 'tc_nat', X ), Y ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'(
% 1.19/1.56 Z, X ) ), T ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP(
% 1.19/1.56 'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'(
% 1.19/1.56 X, X ), 'tc_nat' ), 'tc_nat', X, X ), T ) ),
% 1.19/1.56 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.56 'tc_nat' ), Z, 'tc_nat' ) ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~(
% 1.19/1.56 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_Finite__Set_Osetsum'( 'tc_nat', X ), 'c_COMBS'( 'c_COMBB'(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.19/1.56 X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.19/1.56 'c_Power_Opower__class_Opower'( X ), Z ), hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', T ) ), 'tc_nat'
% 1.19/1.56 , X, 'tc_nat' ), 'tc_nat', X, X ) ),
% 1.19/1.56 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.56 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.19/1.56 'c_Finite__Set_Osetsum'( 'tc_nat', X ), 'c_COMBS'( 'c_COMBB'(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.19/1.56 X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.19/1.56 'c_Power_Opower__class_Opower'( X ), Z ), hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ),
% 1.19/1.56 'tc_nat', X, X ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ) )
% 1.19/1.56 ) ) ],
% 1.19/1.56 [ ~( 'class_Power_Opower'( X ) ), ~(
% 1.19/1.56 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_Finite__Set_Osetsum'( 'tc_nat', X ), 'c_COMBS'( 'c_COMBB'(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.19/1.56 X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.19/1.56 'c_Power_Opower__class_Opower'( X ), Z ), hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ),
% 1.19/1.56 'tc_nat', X, X ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ) )
% 1.19/1.56 , hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), 'c_COMBS'(
% 1.19/1.56 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), 'c_COMBB'( hAPP(
% 1.19/1.56 'c_Power_Opower__class_Opower'( X ), Y ), hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ), X
% 1.19/1.56 , 'tc_fun'( X, X ), 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X )
% 1.19/1.56 , Z ), 'tc_nat', X, X ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ) )
% 1.19/1.56 ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), ~(
% 1.19/1.56 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.19/1.56 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ), hAPP(
% 1.19/1.56 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ),
% 1.19/1.56 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.56 'c_Finite__Set_Osetsum'( 'tc_nat', X ), 'c_COMBS'( 'c_COMBB'(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.19/1.56 X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.19/1.56 'c_Power_Opower__class_Opower'( X ), T ), hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), 'tc_nat', X, 'tc_nat' ),
% 1.19/1.56 'tc_nat', X, X ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', Z ), 'tc_nat' ) )
% 1.19/1.56 ) ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.19/1.56 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.19/1.56 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.19/1.56 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.19/1.56 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.19/1.56 ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.19/1.56 =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.19/1.56 ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.19/1.56 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.19/1.56 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.19/1.56 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.19/1.56 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.19/1.56 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.19/1.56 ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.56 'tc_nat' ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.19/1.56 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ), =( T, U ), =( Z,
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.19/1.56 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.56 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.19/1.56 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.56 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.19/1.56 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.19/1.56 , X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP(
% 1.19/1.56 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'(
% 1.19/1.56 X, X ), Y ), Y, X, X ), U ) ), T ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.19/1.56 , X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP(
% 1.19/1.56 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'(
% 1.19/1.56 X, X ), Y ), Y, X, X ), U ) ), T ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.56 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.56 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.56 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.56 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.19/1.56 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.56 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.19/1.56 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 1.19/1.56 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.56 ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.56 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.19/1.56 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.56 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.19/1.56 ) ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.56 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.19/1.56 ) ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.56 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.19/1.56 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.56 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.19/1.56 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.56 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.19/1.56 ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.56 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.19/1.56 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.56 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.19/1.56 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.56 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.19/1.56 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.19/1.56 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 1.19/1.56 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 1.19/1.56 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.19/1.56 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.19/1.56 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.56 'c_Finite__Set_Osetsum'( Z, X ), T ), U ) ), hAPP( hAPP(
% 1.19/1.56 'c_Finite__Set_Osetsum'( Z, X ), 'c_COMBB'( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), T, X, X, Z ) ), U ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.56 'c_Finite__Set_Osetsum'( Z, X ), T ), U ) ), hAPP( hAPP(
% 1.19/1.56 'c_Finite__Set_Osetsum'( Z, X ), 'c_COMBB'( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), T, X, X, Z ) ), U ) ) ],
% 1.19/1.56 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.19/1.56 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.19/1.56 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 1.19/1.56 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), ~(
% 1.19/1.56 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP( 'c_COMBC'( 'c_COMBB'(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), 'c_COMBS'( 'c_COMBB'(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), 'c_COMBB'( hAPP(
% 1.19/1.56 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ), X
% 1.19/1.56 , 'tc_fun'( X, X ), 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X )
% 1.19/1.56 , Y ), 'tc_nat', X, X ), X, 'tc_fun'( X, X ), 'tc_nat' ), 'tc_nat', X, X
% 1.19/1.56 ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ),
% 1.19/1.56 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.56 'tc_nat' ), T, 'tc_nat' ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.19/1.56 'tc_nat', X ), 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.19/1.56 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ),
% 1.19/1.56 'tc_nat' ), 'c_COMBS'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.19/1.56 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ), X
% 1.19/1.56 , 'tc_fun'( X, X ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.19/1.56 'c_Power_Opower__class_Opower'( X ), Y ), hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ),
% 1.19/1.56 'tc_nat', X, X ), 'tc_nat', X, X ) ),
% 1.19/1.56 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.56 'tc_nat' ), T, 'tc_nat' ) ) ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_Finite__Set_Osetsum'( Y, X ), 'c_COMBS'( 'c_COMBB'(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), Z, X, 'tc_fun'( X, X ), Y ), T, Y, X,
% 1.19/1.56 X ) ), U ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.19/1.56 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ), hAPP( hAPP(
% 1.19/1.56 'c_Finite__Set_Osetsum'( Y, X ), T ), U ) ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.56 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.19/1.56 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.56 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.19/1.56 ) ) ) ],
% 1.19/1.56 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 1.19/1.56 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 1.19/1.56 'tc_bool' ) ), T ) ) ],
% 1.19/1.56 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 1.19/1.56 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 1.19/1.56 'tc_bool' ) ), Z ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.56 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.19/1.56 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP(
% 1.19/1.56 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.56 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.19/1.56 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP(
% 1.19/1.56 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ],
% 1.19/1.56 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 1.19/1.56 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 1.19/1.56 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 1.19/1.56 X, T ), Y ) ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.56 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.56 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.19/1.56 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.56 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.19/1.56 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.19/1.56 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.56 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.19/1.56 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.19/1.56 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.19/1.56 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.19/1.56 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.19/1.56 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.19/1.56 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.19/1.56 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.19/1.56 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.19/1.56 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.19/1.56 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.19/1.56 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.19/1.56 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.19/1.56 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.56 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.56 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.19/1.56 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 1.19/1.56 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'( X,
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 1.19/1.56 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ]
% 1.19/1.56 ,
% 1.19/1.56 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP(
% 1.19/1.56 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.19/1.56 ,
% 1.19/1.56 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_Finite__Set_Osetsum'( Y, X ), hAPP( 'c_COMBC'( 'c_COMBB'(
% 1.19/1.56 'c_Finite__Set_Osetsum'( Z, X ), T, 'tc_fun'( Z, X ), 'tc_fun'( 'tc_fun'(
% 1.19/1.56 Z, 'tc_bool' ), X ), Y ), Y, 'tc_fun'( Z, 'tc_bool' ), X ), U ) ), W ),
% 1.19/1.56 hAPP( hAPP( 'c_Finite__Set_Osetsum'( Z, X ), hAPP( 'c_COMBC'( 'c_COMBB'(
% 1.19/1.56 'c_Finite__Set_Osetsum'( Y, X ), 'c_COMBC'( T, Y, Z, X ), 'tc_fun'( Y, X
% 1.19/1.56 ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), X ), Z ), Z, 'tc_fun'( Y,
% 1.19/1.56 'tc_bool' ), X ), W ) ), U ) ) ],
% 1.19/1.56 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.19/1.56 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.19/1.56 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.19/1.56 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 1.19/1.56 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.19/1.56 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.19/1.56 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.19/1.56 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 1.19/1.56 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.19/1.56 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.19/1.56 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.19/1.56 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 1.19/1.56 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.19/1.56 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.19/1.56 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.19/1.56 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 1.19/1.56 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ),
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_Finite__Set_Osetsum'( Y, X ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.19/1.56 'tc_fun'( Y, 'tc_bool' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.56 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.19/1.56 ) ), Y ) ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.19/1.56 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.19/1.56 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 1.19/1.56 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.56 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 1.19/1.56 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.56 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 1.19/1.56 X, 'tc_bool' ) ), Y ) ],
% 1.19/1.56 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.19/1.56 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.19/1.56 'tc_bool' ) ), X ) ],
% 1.19/1.56 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 1.19/1.56 'tc_bool' ) ), Y ) ) ) ],
% 1.19/1.56 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.19/1.56 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 1.19/1.56 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.19/1.56 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.19/1.56 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.19/1.56 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.19/1.56 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.19/1.56 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.19/1.56 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.19/1.56 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.19/1.56 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.19/1.56 ) ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.56 X ) ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.56 X ) ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.19/1.56 , Y ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.56 X ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.19/1.56 X ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ),
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.56 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), X ),
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.19/1.56 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.19/1.56 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 1.19/1.56 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.19/1.56 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.19/1.56 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.56 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), T ), Y ) ), Z ) ), U ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.56 X ), T ), Z ) ), U ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.19/1.56 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.56 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.19/1.56 ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.19/1.56 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.56 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.19/1.56 ) ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.19/1.56 X ), Y ), Z ) ), Z ), Y ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.19/1.56 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.19/1.56 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.19/1.56 ,
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 1.19/1.56 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ),
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 1.19/1.56 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ),
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.19/1.56 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ),
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.19/1.56 hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ),
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.19/1.56 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 1.19/1.56 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 1.19/1.56 'tc_bool' ) ), X ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.56 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.19/1.56 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.56 X ), Y ), Z ) ), T ) ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.56 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.19/1.56 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.56 X ), Y ), Z ) ), T ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.56 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.19/1.56 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.56 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.19/1.56 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.19/1.56 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.19/1.56 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.19/1.56 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.19/1.56 ) ) ],
% 1.19/1.56 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 1.19/1.56 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 1.19/1.56 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.19/1.56 ,
% 1.19/1.56 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 1.19/1.56 U ) ) ],
% 1.19/1.56 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.19/1.56 , W ) ) ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 1.19/1.56 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.56 'tc_nat' ) ) ],
% 1.19/1.56 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.19/1.56 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.19/1.56 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.19/1.56 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 1.19/1.56 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.19/1.56 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 1.19/1.56 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 1.19/1.56 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.19/1.56 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.19/1.56 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.56 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), U ) ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_Finite__Set_Osetsum'( Y, X ), 'c_COMBS'( 'c_COMBB'(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Z, X, 'tc_fun'( X, X ), Y ), T, Y, X, X
% 1.19/1.56 ) ), U ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.56 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ), hAPP( hAPP(
% 1.19/1.56 'c_Finite__Set_Osetsum'( Y, X ), T ), U ) ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.56 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.56 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 1.19/1.56 ) ],
% 1.19/1.56 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 1.19/1.56 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 1.19/1.56 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.56 X ) ) ), =( Y, Z ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.56 X ) ) ), =( Y, Z ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.19/1.56 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.19/1.56 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.56 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.19/1.56 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ],
% 1.19/1.56 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), Y ) ) ],
% 1.19/1.56 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 1.19/1.56 ) ) ],
% 1.19/1.56 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.19/1.56 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 1.19/1.56 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.19/1.56 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.19/1.56 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 1.19/1.56 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.19/1.56 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 1.19/1.56 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 1.19/1.56 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.19/1.56 ) ],
% 1.19/1.56 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 1.19/1.56 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 1.19/1.56 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.19/1.56 ) ],
% 1.19/1.56 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.19/1.56 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.19/1.56 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 1.19/1.56 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.19/1.56 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.19/1.56 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 1.19/1.56 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 1.19/1.56 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.19/1.56 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.19/1.56 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.19/1.56 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.19/1.56 'tc_bool' ) ) ) ],
% 1.19/1.56 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.19/1.56 Y ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.19/1.56 Y ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.19/1.56 Y ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.19/1.56 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.19/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.19/1.56 Y ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.19/1.56 Y ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.19/1.56 Y ) ],
% 1.19/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.19/1.56 Y ) ],
% 1.19/1.56 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.56 X ), Y ), Z ) ), Z ), Y ) ],
% 1.19/1.56 [ ~( =( hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat',
% 1.19/1.56 'tc_Complex_Ocomplex' ), 'c_COMBS'( 'c_COMBB'(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), hAPP( 'c_COMBC'(
% 1.19/1.56 'c_COMBB'( 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' ),
% 1.19/1.56 'c_COMBB'( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.19/1.56 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.19/1.56 , 'c_FFT__Mirabelle_Oroot'( 'v_n' ) ), hAPP( 'c_COMBC'(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.19/1.56 , 'v_i' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.19/1.56 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_nat', 'tc_Complex_Ocomplex' ),
% 1.19/1.56 'tc_nat' ), 'tc_fun'( 'tc_nat', 'tc_Complex_Ocomplex' ), 'tc_fun'(
% 1.19/1.56 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Complex_Ocomplex' ), 'tc_nat' ),
% 1.19/1.56 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Complex_Ocomplex' ),
% 1.19/1.56 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.56 'tc_nat' ), 'v_n', 'tc_nat' ) ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.19/1.56 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'v_a',
% 1.19/1.56 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ) ),
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( 'v_i',
% 1.19/1.56 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_nat', 'tc_bool' ) ),
% 1.19/1.56 'tc_nat' ), 'c_SetInterval_Oord__class_OgreaterThanLessThan'( 'v_i',
% 1.19/1.56 'v_n', 'tc_nat' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Oplus__class_Oplus'( 'tc_Complex_Ocomplex' ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), hAPP( hAPP(
% 1.19/1.56 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' ), hAPP(
% 1.19/1.56 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ), hAPP( hAPP(
% 1.19/1.56 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.19/1.56 'c_FFT__Mirabelle_Oroot'( 'v_n' ) ), hAPP( hAPP(
% 1.19/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'v_i' ), 'v_i' ) ) ) ),
% 1.19/1.56 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.56 'tc_nat' ), 'v_n', 'tc_nat' ) ) ), hAPP( 'v_a', 'v_i' ) ) ), hAPP( hAPP(
% 1.19/1.56 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' ), 'c_COMBS'(
% 1.19/1.56 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), hAPP(
% 1.19/1.56 'c_COMBC'( 'c_COMBB'( 'c_Finite__Set_Osetsum'( 'tc_nat',
% 1.19/1.56 'tc_Complex_Ocomplex' ), 'c_COMBB'( 'c_Power_Opower__class_Opower'(
% 1.19/1.56 'tc_Complex_Ocomplex' ), 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'(
% 1.19/1.56 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( 'v_n' ) ), hAPP(
% 1.19/1.56 'c_COMBC'( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.19/1.56 'tc_nat' ), 'v_i' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.19/1.56 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_nat', 'tc_Complex_Ocomplex' ),
% 1.19/1.56 'tc_nat' ), 'tc_fun'( 'tc_nat', 'tc_Complex_Ocomplex' ), 'tc_fun'(
% 1.19/1.56 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Complex_Ocomplex' ), 'tc_nat' ),
% 1.19/1.56 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Complex_Ocomplex' ),
% 1.19/1.56 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.19/1.56 'tc_nat' ), 'v_n', 'tc_nat' ) ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.19/1.56 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'v_a',
% 1.19/1.56 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ) ),
% 1.19/1.56 'c_SetInterval_Oord__class_OgreaterThanLessThan'( 'v_i', 'v_n', 'tc_nat'
% 1.19/1.56 ) ) ) ) ) ],
% 1.19/1.56 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.19/1.56 'class_Lattices_Olattice'( Y ) ) ],
% 1.19/1.56 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.19/1.56 'class_Lattices_Olattice'( Y ) ) ],
% 1.19/1.56 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.19/1.56 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 1.19/1.56 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.19/1.56 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 1.19/1.56 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.19/1.56 'class_Orderings_Opreorder'( Y ) ) ],
% 1.19/1.56 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 1.19/1.56 'class_Lattices_Olattice'( Y ) ) ],
% 1.19/1.56 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.19/1.56 'class_Orderings_Oorder'( Y ) ) ],
% 1.19/1.56 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.19/1.56 Y ) ) ],
% 1.19/1.56 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.19/1.56 ],
% 1.19/1.56 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.19/1.56 ) ],
% 1.19/1.56 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.19/1.56 ],
% 1.19/1.56 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.19/1.56 ,
% 1.19/1.56 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.19/1.56 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 1.19/1.56 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 1.19/1.56 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 1.19/1.56 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 1.19/1.56 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.19/1.56 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 1.19/1.56 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.19/1.56 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.19/1.56 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.19/1.56 'tc_Complex_Ocomplex' ) ],
% 1.19/1.56 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.19/1.56 'tc_Complex_Ocomplex' ) ],
% 1.19/1.56 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.19/1.56 'tc_Complex_Ocomplex' ) ],
% 1.19/1.56 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.19/1.56 ],
% 1.19/1.56 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 1.19/1.56 ],
% 1.19/1.56 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.19/1.56 ],
% 1.19/1.56 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.19/1.56 ],
% 1.19/1.56 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.19/1.56 ,
% 1.19/1.56 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 1.19/1.56 ,
% 1.19/1.56 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.19/1.56 ,
% 1.19/1.56 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.19/1.56 ,
% 1.19/1.56 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 1.19/1.56 ,
% 1.19/1.56 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.19/1.56 ,
% 1.19/1.56 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.19/1.56 ,
% 1.19/1.56 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.19/1.56 ,
% 1.19/1.56 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.19/1.56 ,
% 1.19/1.56 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.19/1.56 ,
% 1.19/1.56 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.19/1.56 ,
% 1.19/1.56 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.19/1.56 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.19/1.56 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.19/1.56 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.19/1.56 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.19/1.56 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.19/1.56 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.19/1.56 [ 'class_RealVector_Ometric__space'( 'tc_Complex_Ocomplex' ) ],
% 1.19/1.56 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.19/1.56 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.19/1.56 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.19/1.56 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.19/1.56 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.19/1.56 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.19/1.56 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.19/1.56 [ 'class_Nat_Osemiring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.19/1.56 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.19/1.56 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.19/1.56 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.19/1.56 , W ) ) ) ],
% 1.19/1.56 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 1.19/1.56 U ) ) ],
% 1.19/1.56 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.19/1.56 ,
% 1.19/1.56 [ 'c_fequal'( X, X, Y ) ],
% 1.19/1.56 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.19/1.56 ] .
% 1.19/1.56
% 1.19/1.56
% 1.19/1.56 percentage equality = 0.203234, percentage horn = 0.860887
% 1.19/1.56 This is a problem with some equality
% 1.19/1.56
% 1.19/1.56
% 1.19/1.56
% 1.19/1.56 Options Used:
% 1.19/1.56
% 1.19/1.56 useres = 1
% 1.19/1.56 useparamod = 1
% 1.19/1.56 useeqrefl = 1
% 1.19/1.56 useeqfact = 1
% 1.19/1.56 usefactor = 1
% 1.19/1.56 usesimpsplitting = 0
% 1.19/1.56 usesimpdemod = 5
% 1.19/1.56 usesimpres = 3
% 1.19/1.56
% 1.19/1.56 resimpinuse = 1000
% 1.19/1.56 resimpclauses = 20000
% 1.19/1.56 substype = eqrewr
% 1.19/1.56 backwardsubs = 1
% 1.19/1.56 selectoldest = 5
% 1.19/1.56
% 1.19/1.56 litorderings [0] = split
% 1.19/1.56 litorderings [1] = extend the termordering, first sorting on arguments
% 1.19/1.56
% 1.19/1.56 termordering = kbo
% 1.19/1.56
% 1.19/1.56 litapriori = 0
% 1.19/1.56 termapriori = 1
% 1.19/1.56 litaposteriori = 0
% 1.19/1.56 termaposteriori = 0
% 1.19/1.56 demodaposteriori = 0
% 1.19/1.56 ordereqreflfact = 0
% 1.19/1.56
% 1.19/1.56 litselect = negord
% 1.19/1.56
% 1.19/1.56 maxweight = 15
% 1.19/1.56 maxdepth = 30000
% 1.19/1.56 maxlength = 115
% 1.19/1.56 maxnrvars = 195
% 1.19/1.56 excuselevel = 1
% 1.19/1.56 increasemaxweight = 1
% 1.19/1.56
% 1.19/1.56 maxselected = 10000000
% 1.19/1.56 maxnrclauses = 10000000
% 1.19/1.56
% 1.19/1.56 showgenerated = 0
% 1.19/1.56 showkept = 0
% 1.19/1.56 showselected = 0
% 1.19/1.56 showdeleted = 0
% 1.19/1.56 showresimp = 1
% 1.19/1.56 showstatus = 2000
% 1.19/1.56
% 1.19/1.56 prologoutput = 1
% 1.19/1.56 nrgoals = 5000000
% 1.19/1.56 totalproof = 1
% 1.19/1.56
% 1.19/1.56 Symbols occurring in the translation:
% 1.19/1.56
% 1.19/1.56 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.19/1.56 . [1, 2] (w:1, o:152, a:1, s:1, b:0),
% 1.19/1.56 ! [4, 1] (w:0, o:70, a:1, s:1, b:0),
% 1.19/1.56 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.19/1.56 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.19/1.56 'tc_nat' [41, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.19/1.56 'c_HOL_Oord__class_Oless' [42, 2] (w:1, o:177, a:1, s:1, b:0),
% 1.19/1.56 hAPP [43, 2] (w:1, o:178, a:1, s:1, b:0),
% 1.19/1.56 hBOOL [44, 1] (w:1, o:75, a:1, s:1, b:0),
% 1.19/1.56 'c_lessequals' [45, 2] (w:1, o:179, a:1, s:1, b:0),
% 1.19/1.56 'class_Orderings_Oorder' [47, 1] (w:1, o:77, a:1, s:1, b:0),
% 1.19/1.56 'c_HOL_Oplus__class_Oplus' [50, 1] (w:1, o:79, a:1, s:1, b:0),
% 1.19/1.56 'c_Suc' [51, 0] (w:1, o:21, a:1, s:1, b:0),
% 1.19/1.56 'c_HOL_Ozero__class_Ozero' [52, 1] (w:1, o:80, a:1, s:1, b:0),
% 1.19/1.56 'tc_bool' [55, 0] (w:1, o:24, a:1, s:1, b:0),
% 1.19/1.56 'tc_fun' [56, 2] (w:1, o:180, a:1, s:1, b:0),
% 1.19/1.56 'c_Lattices_Olower__semilattice__class_Oinf' [57, 3] (w:1, o:185, a:1
% 1.19/1.56 , s:1, b:0),
% 1.19/1.56 'class_Ring__and__Field_Osemiring__1' [58, 1] (w:1, o:86, a:1, s:1
% 1.19/1.56 , b:0),
% 1.19/1.56 'c_Nat_Osemiring__1__class_Oof__nat' [59, 2] (w:1, o:181, a:1, s:1
% 1.19/1.56 , b:0),
% 1.19/1.56 'c_HOL_Otimes__class_Otimes' [60, 1] (w:1, o:87, a:1, s:1, b:0),
% 1.19/1.56 'class_Ring__and__Field_Oordered__field' [64, 1] (w:1, o:90, a:1, s:1
% 1.19/1.56 , b:0),
% 1.19/1.56 'c_HOL_Oinverse__class_Odivide' [65, 1] (w:1, o:91, a:1, s:1, b:0),
% 1.19/1.56 'class_Orderings_Olinorder' [68, 1] (w:1, o:92, a:1, s:1, b:0),
% 1.19/1.56 'class_Ring__and__Field_Odivision__by__zero' [69, 1] (w:1, o:97, a:1
% 1.19/1.56 , s:1, b:0),
% 1.19/1.56 'class_Ring__and__Field_Ofield' [71, 1] (w:1, o:98, a:1, s:1, b:0),
% 1.19/1.56 'c_HOL_Oone__class_Oone' [72, 1] (w:1, o:78, a:1, s:1, b:0),
% 1.19/1.56 'class_Ring__and__Field_Oordered__semidom' [75, 1] (w:1, o:100, a:1
% 1.19/1.56 , s:1, b:0),
% 1.19/1.56 'c_Power_Opower__class_Opower' [76, 1] (w:1, o:102, a:1, s:1, b:0),
% 1.19/1.56 'class_Lattices_Olower__semilattice' [78, 1] (w:1, o:103, a:1, s:1
% 1.19/1.56 , b:0),
% 1.19/1.56 'class_Lattices_Olattice' [79, 1] (w:1, o:104, a:1, s:1, b:0),
% 1.19/1.56 'c_Lattices_Oupper__semilattice__class_Osup' [80, 3] (w:1, o:186, a:1
% 1.19/1.56 , s:1, b:0),
% 1.19/1.56 'c_HOL_Ominus__class_Ominus' [82, 1] (w:1, o:105, a:1, s:1, b:0),
% 1.19/1.56 'c_SetInterval_Oord__class_OatMost' [86, 2] (w:1, o:182, a:1, s:1, b:
% 1.19/1.56 0),
% 1.19/1.56 'c_Set_Oinsert' [87, 3] (w:1, o:187, a:1, s:1, b:0),
% 1.19/1.56 'class_Ring__and__Field_Oordered__idom' [90, 1] (w:1, o:106, a:1, s:1
% 1.19/1.56 , b:0),
% 1.19/1.56 'class_RealVector_Ometric__space' [92, 1] (w:1, o:107, a:1, s:1, b:0)
% 1.19/1.56 ,
% 1.19/1.56 'class_RealVector_Oreal__normed__algebra__1' [93, 1] (w:1, o:108, a:1
% 1.19/1.56 , s:1, b:0),
% 1.19/1.56 'c_Lim_OLIM' [97, 5] (w:1, o:196, a:1, s:1, b:0),
% 1.19/1.56 'c_SEQ_OLIMSEQ' [99, 3] (w:1, o:188, a:1, s:1, b:0),
% 1.19/1.56 'class_RealVector_Oreal__normed__field' [100, 1] (w:1, o:109, a:1, s:
% 1.19/1.56 1, b:0),
% 1.19/1.56 'c_Deriv_Oderiv' [103, 4] (w:1, o:195, a:1, s:1, b:0),
% 1.19/1.56 'v_n' [105, 0] (w:1, o:56, a:1, s:1, b:0),
% 1.19/1.56 'class_Nat_Osemiring__char__0' [107, 1] (w:1, o:76, a:1, s:1, b:0),
% 1.19/1.56 'class_Orderings_Opreorder' [108, 1] (w:1, o:110, a:1, s:1, b:0),
% 1.19/1.56 'c_COMBB' [109, 5] (w:1, o:197, a:1, s:1, b:0),
% 1.19/1.56 'c_COMBS' [111, 5] (w:1, o:198, a:1, s:1, b:0),
% 1.19/1.56 'c_COMBC' [112, 4] (w:1, o:194, a:1, s:1, b:0),
% 1.19/1.56 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [113, 1]
% 1.19/1.56 (w:1, o:111, a:1, s:1, b:0),
% 1.19/1.56 'class_Ring__and__Field_Ozero__neq__one' [114, 1] (w:1, o:112, a:1
% 1.19/1.56 , s:1, b:0),
% 1.19/1.56 'class_OrderedGroup_Omonoid__mult' [115, 1] (w:1, o:116, a:1, s:1, b:
% 1.19/1.56 0),
% 1.19/1.56 'class_OrderedGroup_Ocomm__monoid__add' [117, 1] (w:1, o:117, a:1, s:
% 1.19/1.56 1, b:0),
% 1.19/1.56 'c_Finite__Set_Osetsum' [118, 2] (w:1, o:183, a:1, s:1, b:0),
% 1.19/1.56 'c_SetInterval_Oord__class_OatLeastLessThan' [119, 3] (w:1, o:189, a:
% 1.19/1.56 1, s:1, b:0),
% 1.19/1.56 'c_SetInterval_Oord__class_OgreaterThanLessThan' [120, 3] (w:1, o:190
% 1.19/1.56 , a:1, s:1, b:0),
% 1.19/1.56 'tc_Complex_Ocomplex' [121, 0] (w:1, o:59, a:1, s:1, b:0),
% 1.19/1.56 'c_FFT__Mirabelle_Oroot' [122, 1] (w:1, o:118, a:1, s:1, b:0),
% 1.19/1.56 'class_Ring__and__Field_Oordered__ring__strict' [123, 1] (w:1, o:99
% 1.19/1.56 , a:1, s:1, b:0),
% 1.19/1.56 'class_Ring__and__Field_Oordered__semiring__strict' [124, 1] (w:1, o:
% 1.19/1.56 119, a:1, s:1, b:0),
% 1.19/1.56 'class_Ring__and__Field_Oordered__comm__semiring__strict' [125, 1]
% 1.19/1.56 (w:1, o:120, a:1, s:1, b:0),
% 1.19/1.56 'class_Ring__and__Field_Omult__mono1' [126, 1] (w:1, o:121, a:1, s:1
% 7.20/7.53 , b:0),
% 7.20/7.53 'class_Ring__and__Field_Omult__mono' [127, 1] (w:1, o:122, a:1, s:1
% 7.20/7.53 , b:0),
% 7.20/7.53 'class_Ring__and__Field_Opordered__ring' [128, 1] (w:1, o:124, a:1
% 7.20/7.53 , s:1, b:0),
% 7.20/7.53 'class_Ring__and__Field_Opordered__cancel__semiring' [129, 1] (w:1
% 7.20/7.53 , o:125, a:1, s:1, b:0),
% 7.20/7.53 'class_Ring__and__Field_Opordered__semiring' [130, 1] (w:1, o:126, a:
% 7.20/7.53 1, s:1, b:0),
% 7.20/7.53 'class_OrderedGroup_Opordered__comm__monoid__add' [131, 1] (w:1, o:
% 7.20/7.53 127, a:1, s:1, b:0),
% 7.20/7.53 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [132, 1]
% 7.20/7.53 (w:1, o:128, a:1, s:1, b:0),
% 7.20/7.53 'class_OrderedGroup_Olordered__ab__group__add' [133, 1] (w:1, o:113
% 7.20/7.53 , a:1, s:1, b:0),
% 7.20/7.53 'class_RealVector_Oreal__normed__algebra' [137, 1] (w:1, o:129, a:1
% 7.20/7.53 , s:1, b:0),
% 7.20/7.53 'class_Ring__and__Field_Oordered__semiring' [138, 1] (w:1, o:123, a:1
% 7.20/7.53 , s:1, b:0),
% 7.20/7.53 'class_OrderedGroup_Ocomm__monoid__mult' [140, 1] (w:1, o:130, a:1
% 7.20/7.53 , s:1, b:0),
% 7.20/7.53 'class_Ring__and__Field_Ocomm__semiring__1' [141, 1] (w:1, o:95, a:1
% 7.20/7.53 , s:1, b:0),
% 7.20/7.53 'class_OrderedGroup_Opordered__ab__group__add' [142, 1] (w:1, o:131
% 7.20/7.53 , a:1, s:1, b:0),
% 7.20/7.53 'class_OrderedGroup_Opordered__ab__semigroup__add' [143, 1] (w:1, o:
% 7.20/7.53 132, a:1, s:1, b:0),
% 7.20/7.53 'class_OrderedGroup_Olordered__ab__group__add__meet' [144, 1] (w:1
% 7.20/7.53 , o:114, a:1, s:1, b:0),
% 7.20/7.53 'class_Ring__and__Field_Osemiring__0' [148, 1] (w:1, o:85, a:1, s:1
% 7.20/7.53 , b:0),
% 7.20/7.53 'class_Power_Opower' [149, 1] (w:1, o:142, a:1, s:1, b:0),
% 7.20/7.53 'c_Orderings_Obot__class_Obot' [151, 1] (w:1, o:101, a:1, s:1, b:0),
% 7.20/7.53
% 7.20/7.53 'v_i' [152, 0] (w:1, o:62, a:1, s:1, b:0),
% 7.20/7.53 'class_RealVector_Oreal__normed__vector' [154, 1] (w:1, o:143, a:1
% 7.20/7.53 , s:1, b:0),
% 7.20/7.53 'class_RealVector_Oreal__field' [155, 1] (w:1, o:144, a:1, s:1, b:0)
% 7.20/7.53 ,
% 7.20/7.53 'class_OrderedGroup_Oab__group__add' [157, 1] (w:1, o:133, a:1, s:1
% 7.20/7.53 , b:0),
% 7.20/7.53 'class_Lattices_Obounded__lattice' [158, 1] (w:1, o:145, a:1, s:1, b:
% 7.20/7.53 0),
% 7.20/7.53 'class_Orderings_Obot' [159, 1] (w:1, o:134, a:1, s:1, b:0),
% 7.20/7.53 'class_Ring__and__Field_Oring__1' [160, 1] (w:1, o:81, a:1, s:1, b:0)
% 7.20/7.53 ,
% 7.20/7.53 'class_Lattices_Oupper__semilattice' [161, 1] (w:1, o:146, a:1, s:1
% 7.20/7.53 , b:0),
% 7.20/7.53 'class_Lattices_Odistrib__lattice' [162, 1] (w:1, o:147, a:1, s:1, b:
% 7.20/7.53 0),
% 7.20/7.53 'c_FFT__Mirabelle_OIDFT' [163, 3] (w:1, o:191, a:1, s:1, b:0),
% 7.20/7.53 'c_HOL_OIf' [164, 1] (w:1, o:148, a:1, s:1, b:0),
% 7.20/7.53 'v_a' [165, 0] (w:1, o:63, a:1, s:1, b:0),
% 7.20/7.53 'c_Series_Osuminf' [166, 2] (w:1, o:184, a:1, s:1, b:0),
% 7.20/7.53 'c_FFT__Mirabelle_ODFT' [167, 3] (w:1, o:192, a:1, s:1, b:0),
% 7.20/7.53 'class_Ring__and__Field_Ocomm__semiring__0' [168, 1] (w:1, o:94, a:1
% 7.20/7.53 , s:1, b:0),
% 7.20/7.53 'class_Ring__and__Field_Ocomm__ring' [169, 1] (w:1, o:93, a:1, s:1
% 7.20/7.53 , b:0),
% 7.20/7.53 'class_OrderedGroup_Oab__semigroup__idem__mult' [170, 1] (w:1, o:135
% 7.20/7.53 , a:1, s:1, b:0),
% 7.20/7.53 'class_Ring__and__Field_Ono__zero__divisors' [171, 1] (w:1, o:89, a:1
% 7.20/7.53 , s:1, b:0),
% 7.20/7.53 'class_Ring__and__Field_Omult__zero' [172, 1] (w:1, o:88, a:1, s:1
% 7.20/7.53 , b:0),
% 7.20/7.53 'class_Ring__and__Field_Oring__1__no__zero__divisors' [173, 1] (w:1
% 7.20/7.53 , o:82, a:1, s:1, b:0),
% 7.20/7.53 'class_Ring__and__Field_Oidom' [174, 1] (w:1, o:149, a:1, s:1, b:0),
% 7.20/7.53
% 7.20/7.53 'class_Int_Onumber__ring' [175, 1] (w:1, o:150, a:1, s:1, b:0),
% 7.20/7.53 'class_OrderedGroup_Oab__semigroup__mult' [176, 1] (w:1, o:136, a:1
% 7.20/7.53 , s:1, b:0),
% 7.20/7.53 'class_Ring__and__Field_Ocomm__semiring' [184, 1] (w:1, o:96, a:1, s:
% 7.20/7.53 1, b:0),
% 7.20/7.53 'class_OrderedGroup_Ocancel__ab__semigroup__add' [185, 1] (w:1, o:137
% 7.20/7.53 , a:1, s:1, b:0),
% 7.20/7.53 'class_OrderedGroup_Ocancel__semigroup__add' [186, 1] (w:1, o:138, a:
% 7.20/7.53 1, s:1, b:0),
% 7.20/7.53 'class_Ring__and__Field_Oring' [187, 1] (w:1, o:83, a:1, s:1, b:0),
% 7.20/7.53 'class_Ring__and__Field_Oring__no__zero__divisors' [188, 1] (w:1, o:
% 7.20/7.53 84, a:1, s:1, b:0),
% 7.20/7.53 'class_OrderedGroup_Ogroup__add' [189, 1] (w:1, o:139, a:1, s:1, b:0)
% 7.20/7.53 ,
% 7.20/7.53 'class_OrderedGroup_Olordered__ab__group__add__join' [190, 1] (w:1
% 7.20/7.53 , o:115, a:1, s:1, b:0),
% 7.20/7.53 'class_OrderedGroup_Oab__semigroup__add' [191, 1] (w:1, o:140, a:1
% 40.82/41.19 , s:1, b:0),
% 40.82/41.19 'class_Ring__and__Field_Osemiring' [194, 1] (w:1, o:151, a:1, s:1, b:
% 40.82/41.19 0),
% 40.82/41.19 'class_OrderedGroup_Omonoid__add' [195, 1] (w:1, o:141, a:1, s:1, b:0
% 40.82/41.19 ),
% 40.82/41.19 'c_fequal' [198, 3] (w:1, o:193, a:1, s:1, b:0).
% 40.82/41.19
% 40.82/41.19
% 40.82/41.19 Starting Search:
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19
% 40.82/41.19 Intermediate Status:
% 40.82/41.19 Generated: 5419
% 40.82/41.19 Kept: 2090
% 40.82/41.19 Inuse: 51
% 40.82/41.19 Deleted: 0
% 40.82/41.19 Deletedinuse: 0
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19
% 40.82/41.19 Intermediate Status:
% 40.82/41.19 Generated: 11487
% 40.82/41.19 Kept: 4091
% 40.82/41.19 Inuse: 94
% 40.82/41.19 Deleted: 0
% 40.82/41.19 Deletedinuse: 0
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19
% 40.82/41.19 Intermediate Status:
% 40.82/41.19 Generated: 19271
% 40.82/41.19 Kept: 6139
% 40.82/41.19 Inuse: 159
% 40.82/41.19 Deleted: 2
% 40.82/41.19 Deletedinuse: 0
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19
% 40.82/41.19 Intermediate Status:
% 40.82/41.19 Generated: 25168
% 40.82/41.19 Kept: 8145
% 40.82/41.19 Inuse: 218
% 40.82/41.19 Deleted: 2
% 40.82/41.19 Deletedinuse: 0
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19
% 40.82/41.19 Intermediate Status:
% 40.82/41.19 Generated: 35026
% 40.82/41.19 Kept: 10587
% 40.82/41.19 Inuse: 259
% 40.82/41.19 Deleted: 2
% 40.82/41.19 Deletedinuse: 0
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19
% 40.82/41.19 Intermediate Status:
% 40.82/41.19 Generated: 39138
% 40.82/41.19 Kept: 12623
% 40.82/41.19 Inuse: 269
% 40.82/41.19 Deleted: 2
% 40.82/41.19 Deletedinuse: 0
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19
% 40.82/41.19 Intermediate Status:
% 40.82/41.19 Generated: 48372
% 40.82/41.19 Kept: 15488
% 40.82/41.19 Inuse: 304
% 40.82/41.19 Deleted: 2
% 40.82/41.19 Deletedinuse: 0
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19
% 40.82/41.19 Intermediate Status:
% 40.82/41.19 Generated: 56200
% 40.82/41.19 Kept: 17681
% 40.82/41.19 Inuse: 328
% 40.82/41.19 Deleted: 3
% 40.82/41.19 Deletedinuse: 0
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19
% 40.82/41.19 Intermediate Status:
% 40.82/41.19 Generated: 61184
% 40.82/41.19 Kept: 19764
% 40.82/41.19 Inuse: 376
% 40.82/41.19 Deleted: 5
% 40.82/41.19 Deletedinuse: 0
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19 Resimplifying clauses:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19
% 40.82/41.19 Intermediate Status:
% 40.82/41.19 Generated: 68261
% 40.82/41.19 Kept: 21805
% 40.82/41.19 Inuse: 411
% 40.82/41.19 Deleted: 160
% 40.82/41.19 Deletedinuse: 0
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19
% 40.82/41.19 Intermediate Status:
% 40.82/41.19 Generated: 76115
% 40.82/41.19 Kept: 24026
% 40.82/41.19 Inuse: 436
% 40.82/41.19 Deleted: 160
% 40.82/41.19 Deletedinuse: 0
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19
% 40.82/41.19 Intermediate Status:
% 40.82/41.19 Generated: 82252
% 40.82/41.19 Kept: 26478
% 40.82/41.19 Inuse: 461
% 40.82/41.19 Deleted: 160
% 40.82/41.19 Deletedinuse: 0
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19
% 40.82/41.19 Intermediate Status:
% 40.82/41.19 Generated: 103121
% 40.82/41.19 Kept: 30551
% 40.82/41.19 Inuse: 491
% 40.82/41.19 Deleted: 160
% 40.82/41.19 Deletedinuse: 0
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19
% 40.82/41.19 Intermediate Status:
% 40.82/41.19 Generated: 109420
% 40.82/41.19 Kept: 32667
% 40.82/41.19 Inuse: 531
% 40.82/41.19 Deleted: 160
% 40.82/41.19 Deletedinuse: 0
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19
% 40.82/41.19 Intermediate Status:
% 40.82/41.19 Generated: 121984
% 40.82/41.19 Kept: 35645
% 40.82/41.19 Inuse: 566
% 40.82/41.19 Deleted: 160
% 40.82/41.19 Deletedinuse: 0
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19
% 40.82/41.19 Intermediate Status:
% 40.82/41.19 Generated: 136341
% 40.82/41.19 Kept: 38037
% 40.82/41.19 Inuse: 576
% 40.82/41.19 Deleted: 160
% 40.82/41.19 Deletedinuse: 0
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19
% 40.82/41.19 Intermediate Status:
% 40.82/41.19 Generated: 150241
% 40.82/41.19 Kept: 40329
% 40.82/41.19 Inuse: 586
% 40.82/41.19 Deleted: 160
% 40.82/41.19 Deletedinuse: 0
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19 Resimplifying clauses:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19
% 40.82/41.19 Intermediate Status:
% 40.82/41.19 Generated: 164437
% 40.82/41.19 Kept: 42812
% 40.82/41.19 Inuse: 596
% 40.82/41.19 Deleted: 409
% 40.82/41.19 Deletedinuse: 0
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19
% 40.82/41.19 Intermediate Status:
% 40.82/41.19 Generated: 174251
% 40.82/41.19 Kept: 44909
% 40.82/41.19 Inuse: 616
% 40.82/41.19 Deleted: 409
% 40.82/41.19 Deletedinuse: 0
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19
% 40.82/41.19 Intermediate Status:
% 40.82/41.19 Generated: 183910
% 40.82/41.19 Kept: 47377
% 40.82/41.19 Inuse: 641
% 40.82/41.19 Deleted: 409
% 40.82/41.19 Deletedinuse: 0
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19
% 40.82/41.19 Intermediate Status:
% 40.82/41.19 Generated: 200613
% 40.82/41.19 Kept: 50619
% 40.82/41.19 Inuse: 681
% 40.82/41.19 Deleted: 409
% 40.82/41.19 Deletedinuse: 0
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19
% 40.82/41.19 Intermediate Status:
% 40.82/41.19 Generated: 207004
% 40.82/41.19 Kept: 53020
% 40.82/41.19 Inuse: 701
% 40.82/41.19 Deleted: 409
% 40.82/41.19 Deletedinuse: 0
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19 Resimplifying inuse:
% 40.82/41.19 Done
% 40.82/41.19
% 40.82/41.19
% 40.82/41.19 Intermediate Status:
% 40.82/41.19 Generated: 220187
% 40.82/41.19 Kept: 56331
% 40.82/41.19 Inuse: 711
% 40.82/41.19 Deleted: 409
% 40.82/41.19 Deletedinuse: 0
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32
% 114.87/115.32 Intermediate Status:
% 114.87/115.32 Generated: 228138
% 114.87/115.32 Kept: 58652
% 114.87/115.32 Inuse: 726
% 114.87/115.32 Deleted: 409
% 114.87/115.32 Deletedinuse: 0
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32
% 114.87/115.32 Intermediate Status:
% 114.87/115.32 Generated: 236418
% 114.87/115.32 Kept: 60806
% 114.87/115.32 Inuse: 746
% 114.87/115.32 Deleted: 409
% 114.87/115.32 Deletedinuse: 0
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32 Resimplifying clauses:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32
% 114.87/115.32 Intermediate Status:
% 114.87/115.32 Generated: 243294
% 114.87/115.32 Kept: 62852
% 114.87/115.32 Inuse: 766
% 114.87/115.32 Deleted: 624
% 114.87/115.32 Deletedinuse: 1
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32
% 114.87/115.32 Intermediate Status:
% 114.87/115.32 Generated: 255758
% 114.87/115.32 Kept: 65537
% 114.87/115.32 Inuse: 791
% 114.87/115.32 Deleted: 624
% 114.87/115.32 Deletedinuse: 1
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32
% 114.87/115.32 Intermediate Status:
% 114.87/115.32 Generated: 262043
% 114.87/115.32 Kept: 67538
% 114.87/115.32 Inuse: 801
% 114.87/115.32 Deleted: 624
% 114.87/115.32 Deletedinuse: 1
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32
% 114.87/115.32 Intermediate Status:
% 114.87/115.32 Generated: 270969
% 114.87/115.32 Kept: 70112
% 114.87/115.32 Inuse: 816
% 114.87/115.32 Deleted: 624
% 114.87/115.32 Deletedinuse: 1
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32
% 114.87/115.32 Intermediate Status:
% 114.87/115.32 Generated: 313303
% 114.87/115.32 Kept: 76848
% 114.87/115.32 Inuse: 841
% 114.87/115.32 Deleted: 624
% 114.87/115.32 Deletedinuse: 1
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32
% 114.87/115.32 Intermediate Status:
% 114.87/115.32 Generated: 324618
% 114.87/115.32 Kept: 80269
% 114.87/115.32 Inuse: 846
% 114.87/115.32 Deleted: 624
% 114.87/115.32 Deletedinuse: 1
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32 Resimplifying clauses:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32
% 114.87/115.32 Intermediate Status:
% 114.87/115.32 Generated: 332721
% 114.87/115.32 Kept: 82455
% 114.87/115.32 Inuse: 881
% 114.87/115.32 Deleted: 827
% 114.87/115.32 Deletedinuse: 1
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32
% 114.87/115.32 Intermediate Status:
% 114.87/115.32 Generated: 341155
% 114.87/115.32 Kept: 84457
% 114.87/115.32 Inuse: 910
% 114.87/115.32 Deleted: 827
% 114.87/115.32 Deletedinuse: 1
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32
% 114.87/115.32 Intermediate Status:
% 114.87/115.32 Generated: 350726
% 114.87/115.32 Kept: 86820
% 114.87/115.32 Inuse: 926
% 114.87/115.32 Deleted: 827
% 114.87/115.32 Deletedinuse: 1
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32
% 114.87/115.32 Intermediate Status:
% 114.87/115.32 Generated: 370975
% 114.87/115.32 Kept: 90769
% 114.87/115.32 Inuse: 956
% 114.87/115.32 Deleted: 827
% 114.87/115.32 Deletedinuse: 1
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32
% 114.87/115.32 Intermediate Status:
% 114.87/115.32 Generated: 382184
% 114.87/115.32 Kept: 93441
% 114.87/115.32 Inuse: 981
% 114.87/115.32 Deleted: 828
% 114.87/115.32 Deletedinuse: 2
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32
% 114.87/115.32 Intermediate Status:
% 114.87/115.32 Generated: 389828
% 114.87/115.32 Kept: 95659
% 114.87/115.32 Inuse: 1006
% 114.87/115.32 Deleted: 828
% 114.87/115.32 Deletedinuse: 2
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32
% 114.87/115.32 Intermediate Status:
% 114.87/115.32 Generated: 397962
% 114.87/115.32 Kept: 98234
% 114.87/115.32 Inuse: 1031
% 114.87/115.32 Deleted: 829
% 114.87/115.32 Deletedinuse: 3
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32
% 114.87/115.32 Intermediate Status:
% 114.87/115.32 Generated: 405353
% 114.87/115.32 Kept: 100657
% 114.87/115.32 Inuse: 1046
% 114.87/115.32 Deleted: 829
% 114.87/115.32 Deletedinuse: 3
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32 Resimplifying clauses:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32
% 114.87/115.32 Intermediate Status:
% 114.87/115.32 Generated: 413159
% 114.87/115.32 Kept: 102835
% 114.87/115.32 Inuse: 1066
% 114.87/115.32 Deleted: 1058
% 114.87/115.32 Deletedinuse: 3
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32
% 114.87/115.32 Intermediate Status:
% 114.87/115.32 Generated: 421701
% 114.87/115.32 Kept: 104944
% 114.87/115.32 Inuse: 1086
% 114.87/115.32 Deleted: 1058
% 114.87/115.32 Deletedinuse: 3
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32
% 114.87/115.32 Intermediate Status:
% 114.87/115.32 Generated: 430495
% 114.87/115.32 Kept: 107180
% 114.87/115.32 Inuse: 1111
% 114.87/115.32 Deleted: 1058
% 114.87/115.32 Deletedinuse: 3
% 114.87/115.32
% 114.87/115.32
% 114.87/115.32 Intermediate Status:
% 114.87/115.32 Generated: 443578
% 114.87/115.32 Kept: 109808
% 114.87/115.32 Inuse: 1116
% 114.87/115.32 Deleted: 1058
% 114.87/115.32 Deletedinuse: 3
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32
% 114.87/115.32 Intermediate Status:
% 114.87/115.32 Generated: 458563
% 114.87/115.32 Kept: 114052
% 114.87/115.32 Inuse: 1121
% 114.87/115.32 Deleted: 1058
% 114.87/115.32 Deletedinuse: 3
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32
% 114.87/115.32 Intermediate Status:
% 114.87/115.32 Generated: 467447
% 114.87/115.32 Kept: 116147
% 114.87/115.32 Inuse: 1151
% 114.87/115.32 Deleted: 1058
% 114.87/115.32 Deletedinuse: 3
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32
% 114.87/115.32 Intermediate Status:
% 114.87/115.32 Generated: 479845
% 114.87/115.32 Kept: 118966
% 114.87/115.32 Inuse: 1166
% 114.87/115.32 Deleted: 1058
% 114.87/115.32 Deletedinuse: 3
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32
% 114.87/115.32 Intermediate Status:
% 114.87/115.32 Generated: 490458
% 114.87/115.32 Kept: 121906
% 114.87/115.32 Inuse: 1181
% 114.87/115.32 Deleted: 1058
% 114.87/115.32 Deletedinuse: 3
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32 Resimplifying clauses:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32 Resimplifying inuse:
% 114.87/115.32 Done
% 114.87/115.32
% 114.87/115.32
% 114.87/115.32 Intermediate Status:
% 114.87/115.32 Generated: 499623
% 228.89/229.34 Kept: 124087
% 228.89/229.34 Inuse: 1211
% 228.89/229.34 Deleted: 1598
% 228.89/229.34 Deletedinuse: 3
% 228.89/229.34
% 228.89/229.34 Resimplifying inuse:
% 228.89/229.34 Done
% 228.89/229.34
% 228.89/229.34 Resimplifying inuse:
% 228.89/229.34 Done
% 228.89/229.34
% 228.89/229.34
% 228.89/229.34 Intermediate Status:
% 228.89/229.34 Generated: 514058
% 228.89/229.34 Kept: 126427
% 228.89/229.34 Inuse: 1241
% 228.89/229.34 Deleted: 1599
% 228.89/229.34 Deletedinuse: 4
% 228.89/229.34
% 228.89/229.34 Resimplifying inuse:
% 228.89/229.34 Done
% 228.89/229.34
% 228.89/229.34 Resimplifying inuse:
% 228.89/229.34 Done
% 228.89/229.34
% 228.89/229.34
% 228.89/229.34 Intermediate Status:
% 228.89/229.34 Generated: 523040
% 228.89/229.34 Kept: 128488
% 228.89/229.34 Inuse: 1261
% 228.89/229.34 Deleted: 1602
% 228.89/229.34 Deletedinuse: 7
% 228.89/229.34
% 228.89/229.34 Resimplifying inuse:
% 228.89/229.34 Done
% 228.89/229.34
% 228.89/229.34
% 228.89/229.34 Intermediate Status:
% 228.89/229.34 Generated: 535214
% 228.89/229.34 Kept: 131730
% 228.89/229.34 Inuse: 1276
% 228.89/229.34 Deleted: 1603
% 228.89/229.34 Deletedinuse: 8
% 228.89/229.34
% 228.89/229.34 Resimplifying inuse:
% 228.89/229.34 Done
% 228.89/229.34
% 228.89/229.34 Resimplifying inuse:
% 228.89/229.34 Done
% 228.89/229.34
% 228.89/229.34
% 228.89/229.34 Intermediate Status:
% 228.89/229.34 Generated: 544997
% 228.89/229.34 Kept: 133773
% 228.89/229.34 Inuse: 1291
% 228.89/229.34 Deleted: 1603
% 228.89/229.34 Deletedinuse: 8
% 228.89/229.34
% 228.89/229.34 Resimplifying inuse:
% 228.89/229.34 Done
% 228.89/229.34
% 228.89/229.34 Resimplifying inuse:
% 228.89/229.34 Done
% 228.89/229.34
% 228.89/229.34
% 228.89/229.34 Intermediate Status:
% 228.89/229.34 Generated: 556311
% 228.89/229.34 Kept: 136207
% 228.89/229.34 Inuse: 1311
% 228.89/229.34 Deleted: 1603
% 228.89/229.34 Deletedinuse: 8
% 228.89/229.34
% 228.89/229.34 Resimplifying inuse:
% 228.89/229.34 Done
% 228.89/229.34
% 228.89/229.34
% 228.89/229.34 Intermediate Status:
% 228.89/229.34 Generated: 577818
% 228.89/229.34 Kept: 141581
% 228.89/229.34 Inuse: 1321
% 228.89/229.34 Deleted: 1605
% 228.89/229.34 Deletedinuse: 10
% 228.89/229.34
% 228.89/229.34 Resimplifying inuse:
% 228.89/229.34 Done
% 228.89/229.34
% 228.89/229.34 Resimplifying clauses:
% 228.89/229.34 Done
% 228.89/229.34
% 228.89/229.34 Resimplifying inuse:
% 228.89/229.34 Done
% 228.89/229.34
% 228.89/229.34
% 228.89/229.34 Intermediate Status:
% 228.89/229.34 Generated: 588787
% 228.89/229.34 Kept: 143595
% 228.89/229.34 Inuse: 1354
% 228.89/229.34 Deleted: 2150
% 228.89/229.34 Deletedinuse: 10
% 228.89/229.34
% 228.89/229.34 Resimplifying inuse:
% 228.89/229.34 Done
% 228.89/229.34
% 228.89/229.34
% 228.89/229.34 Intermediate Status:
% 228.89/229.34 Generated: 599282
% 228.89/229.34 Kept: 145835
% 228.89/229.34 Inuse: 1371
% 228.89/229.34 Deleted: 2151
% 228.89/229.34 Deletedinuse: 11
% 228.89/229.34
% 228.89/229.34 Resimplifying inuse:
% 228.89/229.34 Done
% 228.89/229.34
% 228.89/229.34
% 228.89/229.34 Intermediate Status:
% 228.89/229.34 Generated: 612506
% 228.89/229.34 Kept: 149218
% 228.89/229.34 Inuse: 1381
% 228.89/229.34 Deleted: 2157
% 228.89/229.34 Deletedinuse: 17
% 228.89/229.34
% 228.89/229.34 Resimplifying inuse:
% 228.89/229.34 Done
% 228.89/229.34
% 228.89/229.34 Resimplifying inuse:
% 228.89/229.34 Done
% 228.89/229.34
% 228.89/229.34
% 228.89/229.34 Intermediate Status:
% 228.89/229.34 Generated: 621287
% 228.89/229.34 Kept: 151525
% 228.89/229.34 Inuse: 1396
% 228.89/229.34 Deleted: 2157
% 228.89/229.34 Deletedinuse: 17
% 228.89/229.34
% 228.89/229.34 Resimplifying inuse:
% 228.89/229.34 Done
% 228.89/229.34
% 228.89/229.34 Resimplifying inuse:
% 228.89/229.34 Done
% 228.89/229.34
% 228.89/229.34
% 228.89/229.34 Intermediate Status:
% 228.89/229.34 Generated: 632162
% 228.89/229.34 Kept: 153956
% 228.89/229.34 Inuse: 1416
% 228.89/229.34 Deleted: 2157
% 228.89/229.34 Deletedinuse: 17
% 228.89/229.34
% 228.89/229.34 Resimplifying inuse:
% 228.89/229.34 Done
% 228.89/229.34
% 228.89/229.34 Resimplifying inuse:
% 228.89/229.34 Done
% 228.89/229.34
% 228.89/229.34
% 228.89/229.34 Intermediate Status:
% 228.89/229.34 Generated: 642721
% 228.89/229.34 Kept: 155957
% 228.89/229.34 Inuse: 1435
% 228.89/229.34 Deleted: 2157
% 228.89/229.34 Deletedinuse: 17
% 228.89/229.34
% 228.89/229.34 Resimplifying inuse:
% 228.89/229.34 Done
% 228.89/229.34
% 228.89/229.34 Resimplifying inuse:
% 228.89/229.34 Done
% 228.89/229.34
% 228.89/229.34
% 228.89/229.34 Intermediate Status:
% 228.89/229.34 Generated: 655183
% 228.89/229.34 Kept: 158607
% 228.89/229.34 Inuse: 1451
% 228.89/229.34 Deleted: 2159
% 228.89/229.34 Deletedinuse: 19
% 228.89/229.34
% 228.89/229.34 Resimplifying inuse:
% 228.89/229.34 Done
% 228.89/229.34
% 228.89/229.34
% 228.89/229.34 Intermediate Status:
% 228.89/229.34 Generated: 667923
% 228.89/229.34 Kept: 161177
% 228.89/229.34 Inuse: 1466
% 228.89/229.34 Deleted: 2159
% 228.89/229.34 Deletedinuse: 19
% 228.89/229.34
% 228.89/229.34 Resimplifying inuse:
% 228.89/229.34 Done
% 228.89/229.34
% 228.89/229.34 Resimplifying inuse:
% 228.89/229.34 Done
% 228.89/229.34
% 228.89/229.34 Resimplifying clauses:
% 228.89/229.34 Done
% 228.89/229.34
% 228.89/229.34
% 228.89/229.34 Intermediate Status:
% 228.89/229.34 Generated: 678749
% 228.89/229.34 Kept: 163642
% 228.89/229.34 Inuse: 1481
% 228.89/229.34 Deleted: 3465
% 228.89/229.34 Deletedinuse: 19
% 228.89/229.34
% 228.89/229.34 Resimplifying inuse:
% 228.89/229.34 Done
% 228.89/229.34
% 228.89/229.34 Resimplifying inuse:
% 228.89/229.34 Done
% 228.89/229.34
% 228.89/229.34
% 228.89/229.34 Intermediate Status:
% 228.89/229.34 Generated: 691415
% 228.89/229.34 Kept: 165756
% 228.89/229.34 Inuse: 1506
% 228.89/229.34 Deleted: 3465
% 228.89/229.34 Deletedinuse: 19
% 228.89/229.34
% 228.89/229.34
% 228.89/229.34 Intermediate Status:
% 228.89/229.34 Generated: 705381
% 228.89/229.34 Kept: 168962
% 228.89/229.34 Inuse: 1511
% 228.89/229.34 Deleted: 3465
% 228.89/229.34 Deletedinuse: 19
% 228.89/229.34
% 228.89/229.34 Resimplifying inuse:
% 228.89/229.34 Done
% 228.89/229.34
% 228.89/229.34 Resimplifying inuse:
% 228.89/229.34 Done
% 228.89/229.34
% 228.89/229.34
% 228.89/229.34 Intermediate Status:
% 228.89/229.34 Generated: 715742
% 228.89/229.34 Kept: 171035
% 228.89/229.34 Inuse: 1526
% 228.89/229.34 Deleted: 3465
% 228.89/229.34 Deletedinuse: 19
% 228.89/229.35
% 228.89/229.35 Resimplifying inuse:
% 228.89/229.35 Done
% 228.89/229.35
% 228.89/229.35
% 228.89/229.35 Intermediate Status:
% 228.89/229.35 Generated: 727079
% 228.89/229.35 Kept: 173350
% 228.89/229.35 Inuse: 1541
% 228.89/229.35 Deleted: 3466
% 228.89/229.35 Deletedinuse: 20
% 228.89/229.35
% 228.89/229.35 Resimplifying inuse:
% 228.89/229.35 Done
% 228.89/229.35
% 228.89/229.35 Resimplifying inuse:
% 228.89/229.35 Done
% 228.89/229.35
% 228.89/229.35
% 228.89/229.35 Intermediate Status:
% 228.89/229.35 Generated: 738749
% 228.89/229.35 Kept: 175800
% 228.89/229.35 Inuse: 1556
% 228.89/229.35 Deleted: 3466
% 228.89/229.35 Deletedinuse: 20
% 228.89/229.35
% 228.89/229.35 Resimplifying inuse:
% 228.89/229.35 Done
% 228.89/229.35
% 228.89/229.35
% 228.89/229.35 Intermediate Status:
% 228.89/229.35 Generated: 751300
% 228.89/229.35 Kept: 178452
% 228.89/229.35 Inuse: 1571
% 228.89/229.35 Deleted: 3466
% 228.89/229.35 Deletedinuse: 20
% 228.89/229.35
% 228.89/229.35 Resimplifying inuse:
% 228.89/229.35 Done
% 228.89/229.35
% 228.89/229.35
% 228.89/229.35 Intermediate Status:
% 228.89/229.35 Generated: 768370
% 228.89/229.35 Kept: 182389
% 228.89/229.35 Inuse: 1581
% 228.89/229.35 Deleted: 3466
% 228.89/229.35 Deletedinuse: 20
% 228.89/229.35
% 228.89/229.35 Resimplifying inuse:
% 228.89/229.35 Done
% 228.89/229.35
% 228.89/229.35
% 228.89/229.35 Intermediate Status:
% 228.89/229.35 Generated: 781932
% 228.89/229.35 Kept: 185580
% 228.89/229.35 Inuse: 1586
% 228.89/229.35 Deleted: 3466
% 228.89/229.35 Deletedinuse: 20
% 228.89/229.35
% 228.89/229.35 Resimplifying inuse:
% 228.89/229.35 Done
% 228.89/229.35
% 228.89/229.35 Resimplifying clauses:
% 228.89/229.35 Done
% 228.89/229.35
% 228.89/229.35 Resimplifying inuse:
% 228.89/229.35 Done
% 228.89/229.35
% 228.89/229.35
% 228.89/229.35 Intermediate Status:
% 228.89/229.35 Generated: 793265
% 228.89/229.35 Kept: 187757
% 228.89/229.35 Inuse: 1601
% 228.89/229.35 Deleted: 3560
% 228.89/229.35 Deletedinuse: 20
% 228.89/229.35
% 228.89/229.35 Resimplifying inuse:
% 228.89/229.35 Done
% 228.89/229.35
% 228.89/229.35
% 228.89/229.35 Intermediate Status:Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------