TSTP Solution File: SWV602-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV602-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 16:27:03 EDT 2022
% Result : Timeout 300.03s 300.44s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV602-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Thu Jun 16 03:56:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.01/1.41 *** allocated 10000 integers for termspace/termends
% 1.01/1.41 *** allocated 10000 integers for clauses
% 1.01/1.41 *** allocated 10000 integers for justifications
% 1.01/1.41 *** allocated 15000 integers for termspace/termends
% 1.01/1.41 *** allocated 22500 integers for termspace/termends
% 1.01/1.41 *** allocated 33750 integers for termspace/termends
% 1.01/1.41 Bliksem 1.12
% 1.01/1.41
% 1.01/1.41
% 1.01/1.41 Automatic Strategy Selection
% 1.01/1.41
% 1.01/1.41 Clauses:
% 1.01/1.41 [
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.41 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.41 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Otan'(
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.01/1.41 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.41 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal'
% 1.01/1.41 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.41 ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X, 'tc_nat' )
% 1.01/1.41 ), 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.41 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.41 , Y, X ) ) ],
% 1.01/1.41 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.41 , Y, X ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 1.01/1.41 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 1.01/1.41 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.01/1.41 ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.41 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.41 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.01/1.41 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.01/1.41 , X ), W, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.01/1.41 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 1.01/1.41 W, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.01/1.41 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.01/1.41 , X ), T, X ), W, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.01/1.41 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 1.01/1.41 W, X ), X ) ) ],
% 1.01/1.41 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.01/1.41 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_NthRoot_Osqrt'(
% 1.01/1.41 X ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 1.01/1.41 , 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X,
% 1.01/1.41 'tc_nat' ) ) ],
% 1.01/1.41 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 1.01/1.41 , 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y,
% 1.01/1.41 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.01/1.41 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.01/1.41 , X ), W, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.01/1.41 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.01/1.41 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total__1__1'( X ),
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.41 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.41 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.41 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.41 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.01/1.41 X ) ) ), =( Y, T ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.01/1.41 X ) ) ), =( Z, T ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.01/1.41 X ) ) ), =( Z, T ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.41 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.41 Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.01/1.41 [ 'c_lessequals'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ =( 'c_RealDef_Oreal'( 'c_Suc'( X ), 'tc_nat' ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_Transcendental_Osin'( X ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Otan'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.41 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.41 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.41 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.01/1.41 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.41 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.41 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.01/1.41 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.41 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.41 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.41 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.01/1.41 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Z, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Z, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.01/1.41 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.41 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 1.01/1.41 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.01/1.41 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.41 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.01/1.41 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.01/1.41 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.01/1.41 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.01/1.41 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'( Y, X,
% 1.01/1.41 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), Y, X ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.41 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.41 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.01/1.41 'c_lessequals'( Z, Y, X ) ],
% 1.01/1.41 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 1.01/1.41 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.41 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.41 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 1.01/1.41 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.01/1.41 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.01/1.41 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.42 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.42 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.01/1.42 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.42 ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.42 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.42 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.42 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.42 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42 ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.42 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.01/1.42 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.01/1.42 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ) )
% 1.01/1.42 ],
% 1.01/1.42 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Otan'( X ) ) ],
% 1.01/1.42 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'(
% 1.01/1.42 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.01/1.42 , ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.01/1.42 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ),
% 1.01/1.42 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.01/1.42 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( Y, 'tc_nat' ),
% 1.01/1.42 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.01/1.42 'c_Transcendental_Otan'( X ) ) ],
% 1.01/1.42 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.01/1.42 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.01/1.42 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'( X ),
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Transcendental_Osin'( X ), 'c_Transcendental_Osin'( X ),
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( Y ),
% 1.01/1.42 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( Y ),
% 1.01/1.42 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.01/1.42 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.01/1.42 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ =( 'c_Transcendental_Otan'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.42 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Ocos'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.42 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X,
% 1.01/1.42 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.42 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.42 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.42 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.42 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ), T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.42 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.01/1.42 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.42 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.42 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.42 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.42 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.42 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 1.01/1.42 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.42 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.42 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.42 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.42 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.42 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.01/1.42 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat' ) ) ), =( Y, Z )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 1.01/1.42 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 1.01/1.42 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.42 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.42 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.01/1.42 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 1.01/1.42 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), =( X,
% 1.01/1.42 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oone__class_Oone'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.42 X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.01/1.42 [ 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.01/1.42 ],
% 1.01/1.42 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.01/1.42 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.01/1.42 , ~( 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.42 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.42 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.01/1.42 X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.42 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.42 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.01/1.42 X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.01/1.42 , 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.01/1.42 ), =( Z, Y ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.42 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.01/1.42 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.01/1.42 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.42 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.01/1.42 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.42 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.42 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.01/1.42 , X ) ) ), =( Y, Z ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.01/1.42 , X ) ) ), =( Y, Z ) ],
% 1.01/1.42 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( X, 'c_Transcendental_Otan'(
% 1.01/1.42 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total__1__1'( X ) )
% 1.01/1.42 , 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 Z, Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.01/1.42 , X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.42 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.42 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.01/1.42 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 1.01/1.42 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.42 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.01/1.42 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.01/1.42 , X ), W, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.01/1.42 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.42 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.01/1.42 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.01/1.42 , X ), T, X ), W, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.42 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.01/1.42 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.42 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.01/1.42 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.01/1.42 , X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 1.01/1.42 ), Y ) ],
% 1.01/1.42 [ =( X, 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.42 , 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.42 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( =( 'c_Transcendental_Osin'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ),
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'(
% 1.01/1.42 'c_Transcendental_Osko__Transcendental__Xsin__zero__lemma__1__1'( X ),
% 1.01/1.42 'tc_nat' ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.42 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.01/1.42 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.42 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.42 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.01/1.42 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.42 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.01/1.42 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.42 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.01/1.42 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.01/1.42 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.42 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.01/1.42 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.01/1.42 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.42 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.42 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.01/1.42 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.42 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.42 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.01/1.42 , T, X ) ) ), =( Z, T ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.42 , T, X ) ) ), =( Y, Z ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.01/1.42 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.42 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.42 'c_Int_OMin', X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.42 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.42 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.42 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.42 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.42 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.42 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.42 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.42 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.42 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.42 , T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.42 , T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.01/1.42 X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z
% 1.01/1.42 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.42 , T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.01/1.42 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.42 Y, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ),
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.42 , T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.01/1.42 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.01/1.42 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42 ), X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.01/1.42 X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 1.01/1.42 , X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42 ), X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.42 , X ), X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.42 ), X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42 , X ), X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.42 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42 ), X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.42 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.01/1.42 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.42 ), X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.42 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.42 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42 ), X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.01/1.42 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ), T, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.01/1.42 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.42 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42 ), X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.42 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.42 , X ), X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.42 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.01/1.42 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.01/1.42 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.42 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.42 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.42 ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.01/1.42 ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.42 ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.01/1.42 ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.42 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.42 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.01/1.42 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.42 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.42 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.01/1.42 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.42 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.42 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.42 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.01/1.42 , 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.01/1.42 , X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( =( 'c_Transcendental_Osin'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ), 'c_Parity_Oeven__odd__class_Oeven'(
% 1.01/1.42 'c_Transcendental_Osko__Transcendental__Xsin__zero__iff__1__2'( X ),
% 1.01/1.42 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'(
% 1.01/1.42 'c_Transcendental_Osko__Transcendental__Xsin__zero__iff__1__1'( X ),
% 1.01/1.42 'tc_nat' ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.01/1.42 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.01/1.42 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.42 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.01/1.42 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.01/1.42 , U, X ), X ) ) ],
% 1.01/1.42 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.01/1.42 ],
% 1.01/1.42 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'(
% 1.01/1.42 'c_Transcendental_Osko__Transcendental__Xcos__zero__lemma__1__1'( X ),
% 1.01/1.42 'tc_nat' ) ) ],
% 1.01/1.42 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'c_lessequals'( X, 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.42 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 1.01/1.42 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'( X ), 'tc_nat' ) ) ],
% 1.01/1.42 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'( X ), 'tc_nat' ),
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 1.01/1.42 , 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 1.01/1.42 Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.01/1.42 'c_Transcendental_Osko__Transcendental__Xcos__zero__iff__1__2'( X ),
% 1.01/1.42 'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.01/1.42 'c_Transcendental_Osko__Transcendental__Xcos__zero__iff__1__1'( X ),
% 1.01/1.42 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.01/1.42 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 1.01/1.42 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 1.01/1.42 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.42 X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.01/1.42 ), Y ) ],
% 1.01/1.42 [ =( X, 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.42 ), Y ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.42 ), Y ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.42 ), Y ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.01/1.42 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.01/1.42 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.01/1.42 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.01/1.42 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.01/1.42 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.01/1.42 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.01/1.42 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.42 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.42 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.42 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.42 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.01/1.42 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 ) ), =( Y, Z ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 ) ), =( Y, Z ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.42 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.42 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.42 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.42 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.42 , T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.42 , T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.42 , T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.01/1.42 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ), T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.01/1.42 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.01/1.42 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.01/1.42 X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.42 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.42 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.42 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.42 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.42 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 1.01/1.42 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 Y, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.42 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.01/1.42 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.42 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.42 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'( Y
% 1.01/1.42 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ), Y ) ],
% 1.01/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), Y, X ), Y ) ],
% 1.01/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.42 'c_Int_OPls' ) ), X ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.42 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.42 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.01/1.42 ],
% 1.01/1.42 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.01/1.42 ],
% 1.01/1.42 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.42 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.01/1.42 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ),
% 1.01/1.42 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.42 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.42 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.42 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.42 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ),
% 1.01/1.42 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.42 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.42 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.42 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.42 ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.42 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.42 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.42 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.42 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ),
% 1.01/1.42 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.42 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.42 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.42 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.42 ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.42 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.42 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.42 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.42 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' )
% 1.01/1.42 , 'c_Transcendental_Otan'( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.42 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ) ],
% 1.01/1.42 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_RealDef_Oreal'( X, 'tc_nat' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ ~( 'c_HOL_Oord__class_Oless'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.01/1.42 ],
% 1.01/1.42 [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Opi' ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.01/1.42 ],
% 1.01/1.42 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( X, Y ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ =( 'c_RealDef_Oreal'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.01/1.42 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( X, 'tc_nat'
% 1.01/1.42 ), 'c_RealDef_Oreal'( Y, 'tc_nat' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.42 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.42 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.42 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.42 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'c_lessequals'( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.42 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.42 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.42 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.42 'c_lessequals'( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.42 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.42 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y,
% 1.01/1.42 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.42 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.42 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.42 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.42 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.42 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.01/1.42 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.42 ) ), 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.42 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ) )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'(
% 1.01/1.42 'c_Transcendental_Osko__Transcendental__Xcos__zero__iff__1__2'( X ),
% 1.01/1.42 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.42 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'(
% 1.01/1.42 'c_Transcendental_Osko__Transcendental__Xcos__zero__iff__1__1'( X ),
% 1.01/1.42 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( =( 'c_Transcendental_Osin'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'(
% 1.01/1.42 'c_Transcendental_Osko__Transcendental__Xsin__zero__iff__1__2'( X ),
% 1.01/1.42 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.42 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'(
% 1.01/1.42 'c_Transcendental_Osko__Transcendental__Xsin__zero__iff__1__1'( X ),
% 1.01/1.42 'tc_nat' ) ],
% 1.01/1.42 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Otan'( X ),
% 1.01/1.42 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Osin'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ) ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.01/1.42 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.01/1.42 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.01/1.42 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.01/1.42 X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.01/1.42 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.42 Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.42 Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.42 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.42 X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.42 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.42 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ), T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.42 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.01/1.42 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.42 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.01/1.42 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.42 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 Y, T, X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.42 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 Y, T, X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.42 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.42 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.01/1.42 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.01/1.42 , Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.01/1.42 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , Z, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.42 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.01/1.42 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , Z, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.42 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.01/1.42 ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 1.01/1.42 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.01/1.42 ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.42 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , T, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.42 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , T, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.42 Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.42 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.01/1.42 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.42 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.01/1.42 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.01/1.42 , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.42 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.01/1.42 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.42 , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.42 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ), X ), X ) ],
% 1.01/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.42 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ),
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( X,
% 1.01/1.42 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.42 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.01/1.42 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.42 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.01/1.42 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.01/1.42 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), X, 'tc_nat' ), 'tc_nat' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.42 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.42 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.01/1.42 'c_Transcendental_Otan'( X ) ) ],
% 1.01/1.42 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.42 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.01/1.42 ],
% 1.01/1.42 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'(
% 1.01/1.42 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, 'c_Transcendental_Opi',
% 1.01/1.42 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ),
% 1.01/1.42 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.01/1.42 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.01/1.42 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Transcendental_Opi',
% 1.01/1.42 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 Y, Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.01/1.42 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.42 X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.01/1.42 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.42 X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.01/1.42 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.42 X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.01/1.42 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.42 X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.42 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.42 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.42 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.42 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.42 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.42 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.42 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.01/1.42 X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.42 , Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.42 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.42 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.42 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.42 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.42 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.01/1.42 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.01/1.42 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.42 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.01/1.42 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.42 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.01/1.42 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.42 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.01/1.42 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.42 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), Y, X ),
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), X ),
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.01/1.42 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.01/1.42 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.42 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.42 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.01/1.42 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.01/1.42 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.01/1.42 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.01/1.42 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.01/1.42 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( Y ), X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.42 , X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), X ),
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.01/1.42 [ =( 'c_Int_OBit1'( 'c_Int_OMin' ), 'c_Int_OMin' ) ],
% 1.01/1.42 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OMin' ) ), =( X, 'c_Int_OMin' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( =( 'c_Int_OMin', 'c_Int_OBit1'( X ) ) ), =( 'c_Int_OMin', X ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ =( 'c_Int_OMin', 'c_Int_OBit1'( 'c_Int_OMin' ) ) ],
% 1.01/1.42 [ ~( =( 'c_Int_OPls', 'c_Int_OMin' ) ) ],
% 1.01/1.42 [ ~( =( 'c_Int_OMin', 'c_Int_OPls' ) ) ],
% 1.01/1.42 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.42 'c_Int_OPls' ) ), 'tc_nat' ), X, 'tc_nat' ), 'tc_nat' ) ],
% 1.01/1.42 [ ~( =( 'c_Int_OMin', 'c_Int_OBit0'( X ) ) ) ],
% 1.01/1.42 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OMin' ) ) ],
% 1.01/1.42 [ =( 'c_Transcendental_Otan'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.01/1.42 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.42 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.42 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.42 Y, X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.42 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.01/1.42 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.01/1.42 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.42 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 Y, Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.01/1.42 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.01/1.42 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.01/1.42 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.01/1.42 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.01/1.42 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.01/1.42 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 1.01/1.42 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.01/1.42 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 1.01/1.42 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( X,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.42 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), X ) ],
% 1.01/1.42 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'(
% 1.01/1.42 X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( 'c_Suc'( X ), 'tc_nat' ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Transcendental_Otan'( X ), 'c_Transcendental_Otan'( Y ),
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Ocos'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ) ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.01/1.42 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.01/1.42 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Otan'( X ),
% 1.01/1.42 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Transcendental_Otan'( X ), 'c_Transcendental_Otan'( Y ),
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), =(
% 1.01/1.42 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.42 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ),
% 1.01/1.42 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y
% 1.01/1.42 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.01/1.42 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin',
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 1.01/1.42 ],
% 1.01/1.42 [ 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin',
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.01/1.42 ],
% 1.01/1.42 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.42 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Ocos'( X ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.01/1.42 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Ocos'( X ) ) ],
% 1.01/1.42 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.01/1.42 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_Transcendental_Opi', X, 'tc_RealDef_Oreal' ) ),
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.42 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.01/1.42 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.42 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.42 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ), =( 'c_Transcendental_Osin'( X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ =( 'c_Transcendental_Ocos'( 'c_Transcendental_Opi' ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', 'tc_RealDef_Oreal' ) )
% 1.01/1.42 ],
% 1.01/1.42 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.01/1.42 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.01/1.42 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( Y ),
% 1.01/1.42 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( Y ),
% 1.01/1.42 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.01/1.42 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.01/1.42 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ =( 'c_Transcendental_Otan'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_Transcendental_Osin'( X ), 'c_Transcendental_Ocos'( X ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.01/1.42 'c_Transcendental_Osko__Transcendental__Xcos__zero__iff__1__2'( X ),
% 1.01/1.42 'tc_nat' ) ), =( X, 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'(
% 1.01/1.42 'c_Transcendental_Osko__Transcendental__Xcos__zero__iff__1__1'( X ),
% 1.01/1.42 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.42 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Opi', 'c_RealDef_Oreal'(
% 1.01/1.42 'c_Suc'( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.42 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X, 'tc_nat' )
% 1.01/1.42 ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.42 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'(
% 1.01/1.42 'c_Transcendental_Osko__Transcendental__Xcos__zero__iff__1__2'( X ),
% 1.01/1.42 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.42 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), =( X,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'(
% 1.01/1.42 'c_Transcendental_Osko__Transcendental__Xcos__zero__iff__1__1'( X ),
% 1.01/1.42 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.42 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( =( 'c_Transcendental_Osin'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ), 'c_Parity_Oeven__odd__class_Oeven'(
% 1.01/1.42 'c_Transcendental_Osko__Transcendental__Xsin__zero__iff__1__2'( X ),
% 1.01/1.42 'tc_nat' ), =( X, 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'(
% 1.01/1.42 'c_Transcendental_Osko__Transcendental__Xsin__zero__iff__1__1'( X ),
% 1.01/1.42 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.42 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( =( 'c_Transcendental_Osin'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'(
% 1.01/1.42 'c_Transcendental_Osko__Transcendental__Xsin__zero__iff__1__2'( X ),
% 1.01/1.42 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.42 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), =( X,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'(
% 1.01/1.42 'c_Transcendental_Osko__Transcendental__Xsin__zero__iff__1__1'( X ),
% 1.01/1.42 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.42 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.42 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X,
% 1.01/1.42 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.42 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.42 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.42 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total__1__1'( X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.42 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' )
% 1.01/1.42 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.42 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.42 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'c_lessequals'( 'c_Transcendental_Osin'( X ), 'c_Transcendental_Osin'(
% 1.01/1.42 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.42 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ),
% 1.01/1.42 ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.42 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.42 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 T, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.42 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.42 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.42 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.42 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.42 ), X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.42 ), X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.42 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42 ), X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42 ), X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.42 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.42 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.01/1.42 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, T, X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.42 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.42 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.43 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.43 ), X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.43 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.43 ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.43 , T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), T, X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.43 , T, X ), Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.43 , T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.43 , T, X ), Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.01/1.43 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.43 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.01/1.43 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.01/1.43 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.43 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.43 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.43 ), X ), Z, X ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 1.01/1.43 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.43 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.43 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.43 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.43 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.43 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.43 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.01/1.43 , 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Osin'( X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.01/1.43 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.43 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.43 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.43 [ =( 'c_FFT__Mirabelle_Oroot'( X ), 'c_Complex_Ocis'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 1.01/1.43 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.01/1.43 'tc_RealDef_Oreal' ) ) ) ],
% 1.01/1.43 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.43 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.01/1.43 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 X, 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'tc_RealDef_Oreal' ) ) ) ],
% 1.01/1.43 [ =( 'c_Transcendental_Otan'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_Transcendental_Opi',
% 1.01/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.43 ) ],
% 1.01/1.43 [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.43 'tc_RealDef_Oreal' ) ) ), ~( =( 'c_Transcendental_Osin'( X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 1.01/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.43 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), X ), X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), X ), Y, X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( X,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X ) ],
% 1.01/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oinverse__class_Odivide'( X
% 1.01/1.43 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( X,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.43 [ 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.43 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.01/1.43 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), =(
% 1.01/1.43 'c_Transcendental_Ocos'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.43 [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'(
% 1.01/1.43 'c_Transcendental_Osko__Transcendental__Xcos__zero__lemma__1__1'( X ),
% 1.01/1.43 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.43 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), =(
% 1.01/1.43 'c_Transcendental_Osin'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.43 [ ~( =( 'c_Transcendental_Osin'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'(
% 1.01/1.43 'c_Transcendental_Osko__Transcendental__Xsin__zero__lemma__1__1'( X ),
% 1.01/1.43 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), X ), X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'c_lessequals'( 'c_Transcendental_Ocos'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.01/1.43 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.43 ) ],
% 1.01/1.43 [ 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.43 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.43 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.43 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.43 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.43 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.43 ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.01/1.43 'c_Transcendental_Ocos'( X ) ) ],
% 1.01/1.43 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 1.01/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.01/1.43 ],
% 1.01/1.43 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.01/1.43 'c_Transcendental_Osin'( X ) ) ],
% 1.01/1.43 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.43 ) ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.43 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.43 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.43 ) ) ],
% 1.01/1.43 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.43 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.43 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.43 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.43 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.43 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.43 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.43 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.43 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.43 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.43 ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.43 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.43 ) ), 'c_HOL_Oinverse__class_Odivide'( 'c_NthRoot_Osqrt'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 1.01/1.43 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.43 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.43 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.43 ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.01/1.43 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.43 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.43 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.43 ) ],
% 1.01/1.43 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'c_RealDef_Oreal'( X, 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.43 [ =( 'c_Transcendental_Osin'( X ), 'c_Transcendental_Ocos'(
% 1.01/1.43 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.43 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.43 ), X, 'tc_RealDef_Oreal' ) ) ) ],
% 1.01/1.43 [ =( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Osin'(
% 1.01/1.43 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.43 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.43 ), X, 'tc_RealDef_Oreal' ) ) ) ],
% 1.01/1.43 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), =(
% 1.01/1.43 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'(
% 1.01/1.43 X, 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.43 ) ],
% 1.01/1.43 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), =(
% 1.01/1.43 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'(
% 1.01/1.43 X, 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.43 ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.43 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.43 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.01/1.43 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.01/1.43 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y,
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.01/1.43 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.43 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.01/1.43 , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X,
% 1.01/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.01/1.43 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), Z,
% 1.01/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.43 [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'c_RealDef_Oreal'( X, 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.43 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.43 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.43 , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.01/1.43 , X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.43 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.43 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.43 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 1.01/1.43 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 1.01/1.43 [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 1.01/1.43 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 1.01/1.43 , 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.01/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.43 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.01/1.43 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 1.01/1.43 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.01/1.43 ), Y ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.01/1.43 ), Y ) ],
% 1.01/1.43 [ ~( =( 'c_Transcendental_Opi', 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_RealDef_Oreal' ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( X, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ),
% 1.01/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.43 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.43 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.43 ) ],
% 1.01/1.43 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.43 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ],
% 1.01/1.43 [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.43 X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.43 , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.43 X ), T, X ) ) ],
% 1.01/1.43 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.43 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.43 T, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.43 X ), T, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.01/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.01/1.43 T, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.01/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.43 X ), Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.01/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.01/1.43 T, X ), X ) ) ],
% 1.01/1.43 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Transcendental_Opi', 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.01/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.43 ) ],
% 1.01/1.43 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.43 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.43 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.43 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.01/1.43 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.43 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.43 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.43 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.43 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.01/1.43 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.43 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.43 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.01/1.43 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.43 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.43 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.43 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( =( 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_RealDef_Oreal'( Y, 'tc_nat'
% 1.01/1.43 ) ) ), =( X, Y ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.43 X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.43 , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.43 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.43 ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.43 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 X ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.43 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 1.01/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.43 ) ],
% 1.01/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), Y
% 1.01/1.43 , X ), Y ) ],
% 1.01/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.01/1.43 , X ), Y ) ],
% 1.01/1.43 [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( =( 'c_Transcendental_Ocos'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.01/1.43 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.43 , Y, X ) ) ],
% 1.01/1.43 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.43 , Y, X ) ) ],
% 1.01/1.43 [ =( 'c_Transcendental_Osin'( 'c_Transcendental_Opi' ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.43 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.01/1.43 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.43 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.43 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.43 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.43 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.43 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.43 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.43 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 Y, T, X ), Z, X ) ) ],
% 1.01/1.43 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ),
% 1.01/1.43 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 1.01/1.43 ) ],
% 1.01/1.43 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_Transcendental_Opi',
% 1.01/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.43 ) ],
% 1.01/1.43 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( 'v_n',
% 1.01/1.43 'tc_nat' ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.43 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.43 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( 'v_n',
% 1.01/1.43 'tc_nat' ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.01/1.43 ],
% 1.01/1.43 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.01/1.43 ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.01/1.43 ],
% 1.01/1.43 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.01/1.43 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.01/1.43 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.01/1.43 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.01/1.43 ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.01/1.43 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.01/1.43 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.01/1.43 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.01/1.43 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.01/1.43 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 1.01/1.43 ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 1.01/1.43 ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 1.01/1.43 ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 1.01/1.43 ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 1.01/1.43 ],
% 1.01/1.43 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_Int_Oring__char__0'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_Int_Onumber'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.01/1.43 'tc_Complex_Ocomplex' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.01/1.43 'tc_Complex_Ocomplex' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.01/1.43 ],
% 1.01/1.43 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.01/1.43 ],
% 1.01/1.43 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.01/1.43 ],
% 1.01/1.43 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.43 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.43 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.43 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.43 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.43 ] .
% 1.01/1.43
% 1.01/1.43
% 1.01/1.43 percentage equality = 0.205320, percentage horn = 0.863983
% 1.01/1.43 This is a problem with some equality
% 1.01/1.43
% 1.01/1.43
% 1.01/1.43
% 1.01/1.43 Options Used:
% 1.01/1.43
% 1.01/1.43 useres = 1
% 1.01/1.43 useparamod = 1
% 1.01/1.43 useeqrefl = 1
% 1.01/1.43 useeqfact = 1
% 1.01/1.43 usefactor = 1
% 1.01/1.43 usesimpsplitting = 0
% 1.01/1.43 usesimpdemod = 5
% 1.01/1.43 usesimpres = 3
% 1.01/1.43
% 1.01/1.43 resimpinuse = 1000
% 1.01/1.43 resimpclauses = 20000
% 1.01/1.43 substype = eqrewr
% 1.01/1.43 backwardsubs = 1
% 1.01/1.43 selectoldest = 5
% 1.01/1.43
% 1.01/1.43 litorderings [0] = split
% 1.01/1.43 litorderings [1] = extend the termordering, first sorting on arguments
% 1.01/1.43
% 1.01/1.43 termordering = kbo
% 1.01/1.43
% 1.01/1.43 litapriori = 0
% 1.01/1.43 termapriori = 1
% 1.01/1.43 litaposteriori = 0
% 1.01/1.43 termaposteriori = 0
% 1.01/1.43 demodaposteriori = 0
% 1.01/1.43 ordereqreflfact = 0
% 1.01/1.43
% 1.01/1.43 litselect = negord
% 1.01/1.43
% 1.01/1.43 maxweight = 15
% 1.01/1.43 maxdepth = 30000
% 1.01/1.43 maxlength = 115
% 1.01/1.43 maxnrvars = 195
% 1.01/1.43 excuselevel = 1
% 1.01/1.43 increasemaxweight = 1
% 1.01/1.43
% 1.01/1.43 maxselected = 10000000
% 1.01/1.43 maxnrclauses = 10000000
% 1.01/1.43
% 1.01/1.43 showgenerated = 0
% 1.01/1.43 showkept = 0
% 1.01/1.43 showselected = 0
% 1.01/1.43 showdeleted = 0
% 1.01/1.43 showresimp = 1
% 1.01/1.43 showstatus = 2000
% 1.01/1.43
% 1.01/1.43 prologoutput = 1
% 1.01/1.43 nrgoals = 5000000
% 1.01/1.43 totalproof = 1
% 1.01/1.43
% 1.01/1.43 Symbols occurring in the translation:
% 1.01/1.43
% 1.01/1.43 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.01/1.43 . [1, 2] (w:1, o:131, a:1, s:1, b:0),
% 1.01/1.43 ! [4, 1] (w:0, o:57, a:1, s:1, b:0),
% 1.01/1.43 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.01/1.43 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.01/1.43 'class_OrderedGroup_Opordered__ab__group__add' [40, 1] (w:1, o:63, a:
% 1.01/1.43 1, s:1, b:0),
% 1.01/1.43 'c_HOL_Ominus__class_Ominus' [43, 3] (w:1, o:161, a:1, s:1, b:0),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero' [44, 1] (w:1, o:64, a:1, s:1, b:0),
% 1.01/1.43 'c_lessequals' [45, 3] (w:1, o:162, a:1, s:1, b:0),
% 1.01/1.43 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [46, 1]
% 1.01/1.43 (w:1, o:65, a:1, s:1, b:0),
% 1.01/1.43 'c_HOL_Oplus__class_Oplus' [48, 3] (w:1, o:164, a:1, s:1, b:0),
% 1.01/1.43 'c_HOL_Oord__class_Oless' [50, 3] (w:1, o:163, a:1, s:1, b:0),
% 1.01/1.43 'class_Orderings_Oorder' [51, 1] (w:1, o:66, a:1, s:1, b:0),
% 1.01/1.43 'tc_RealDef_Oreal' [54, 0] (w:1, o:24, a:1, s:1, b:0),
% 1.01/1.43 'class_Orderings_Opreorder' [55, 1] (w:1, o:67, a:1, s:1, b:0),
% 1.01/1.43 'class_OrderedGroup_Oab__group__add' [56, 1] (w:1, o:68, a:1, s:1, b:
% 1.01/1.43 0),
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus' [58, 2] (w:1, o:156, a:1, s:1, b:0),
% 1.01/1.43 'class_OrderedGroup_Ogroup__add' [59, 1] (w:1, o:69, a:1, s:1, b:0),
% 1.01/1.43
% 1.01/1.43 'c_Transcendental_Opi' [60, 0] (w:1, o:28, a:1, s:1, b:0),
% 1.01/1.43 'c_Transcendental_Otan' [61, 1] (w:1, o:79, a:1, s:1, b:0),
% 1.01/1.43 'class_Ring__and__Field_Oordered__semidom' [62, 1] (w:1, o:82, a:1
% 1.01/1.43 , s:1, b:0),
% 1.01/1.43 'c_HOL_Oone__class_Oone' [63, 1] (w:1, o:83, a:1, s:1, b:0),
% 1.01/1.43 'class_Orderings_Olinorder' [64, 1] (w:1, o:84, a:1, s:1, b:0),
% 1.01/1.43 'class_Int_Onumber' [65, 1] (w:1, o:85, a:1, s:1, b:0),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of' [67, 2] (w:1, o:157, a:1, s:1, b:0
% 1.01/1.43 ),
% 1.01/1.43 'c_Int_OPls' [69, 0] (w:1, o:29, a:1, s:1, b:0),
% 1.01/1.43 'c_Int_OBit1' [70, 1] (w:1, o:87, a:1, s:1, b:0),
% 1.01/1.43 'c_Int_OBit0' [71, 1] (w:1, o:86, a:1, s:1, b:0),
% 1.01/1.43 'tc_nat' [72, 0] (w:1, o:30, a:1, s:1, b:0),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes' [73, 3] (w:1, o:165, a:1, s:1, b:0),
% 1.01/1.43 'c_Suc' [74, 1] (w:1, o:70, a:1, s:1, b:0),
% 1.01/1.43 'c_Parity_Oeven__odd__class_Oeven' [75, 2] (w:1, o:158, a:1, s:1, b:0
% 1.01/1.43 ),
% 1.01/1.43 'class_OrderedGroup_Opordered__comm__monoid__add' [76, 1] (w:1, o:88
% 1.01/1.43 , a:1, s:1, b:0),
% 1.01/1.43 'c_NthRoot_Osqrt' [77, 1] (w:1, o:89, a:1, s:1, b:0),
% 1.01/1.43 'class_Ring__and__Field_Ocomm__semiring__1' [78, 1] (w:1, o:90, a:1
% 1.01/1.43 , s:1, b:0),
% 1.01/1.43 'class_Ring__and__Field_Opordered__ring' [80, 1] (w:1, o:96, a:1, s:1
% 1.01/1.43 , b:0),
% 1.01/1.43 'class_OrderedGroup_Ocomm__monoid__add' [84, 1] (w:1, o:97, a:1, s:1
% 1.01/1.43 , b:0),
% 1.01/1.43 'class_Int_Onumber__ring' [85, 1] (w:1, o:98, a:1, s:1, b:0),
% 1.01/1.43 'c_Int_OMin' [86, 0] (w:1, o:38, a:1, s:1, b:0),
% 1.01/1.43 'class_Ring__and__Field_Oring' [87, 1] (w:1, o:99, a:1, s:1, b:0),
% 1.01/1.43 'class_OrderedGroup_Oordered__ab__group__add' [88, 1] (w:1, o:62, a:1
% 1.01/1.43 , s:1, b:0),
% 1.01/1.43 'class_OrderedGroup_Olordered__ab__group__add' [89, 1] (w:1, o:100
% 6.03/6.43 , a:1, s:1, b:0),
% 6.03/6.43 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [90, 1]
% 6.03/6.43 (w:1, o:101, a:1, s:1, b:0),
% 6.03/6.43 'class_OrderedGroup_Opordered__ab__semigroup__add' [91, 1] (w:1, o:
% 6.03/6.43 102, a:1, s:1, b:0),
% 6.03/6.43 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total__1__1' [92, 1
% 6.03/6.43 ] (w:1, o:71, a:1, s:1, b:0),
% 6.03/6.43 'class_OrderedGroup_Ocancel__semigroup__add' [94, 1] (w:1, o:103, a:1
% 6.03/6.43 , s:1, b:0),
% 6.03/6.43 'class_OrderedGroup_Ocancel__ab__semigroup__add' [95, 1] (w:1, o:104
% 6.03/6.43 , a:1, s:1, b:0),
% 6.03/6.43 'class_Ring__and__Field_Oidom' [96, 1] (w:1, o:105, a:1, s:1, b:0),
% 6.03/6.43 'class_Ring__and__Field_Oordered__field' [101, 1] (w:1, o:91, a:1, s:
% 6.03/6.43 1, b:0),
% 6.03/6.43 'c_HOL_Oinverse__class_Odivide' [102, 3] (w:1, o:166, a:1, s:1, b:0)
% 6.03/6.43 ,
% 6.03/6.43 'c_RealDef_Oreal' [104, 2] (w:1, o:159, a:1, s:1, b:0),
% 6.03/6.43 'c_Transcendental_Osin' [105, 1] (w:1, o:72, a:1, s:1, b:0),
% 6.03/6.43 'class_Ring__and__Field_Ofield' [109, 1] (w:1, o:106, a:1, s:1, b:0)
% 6.03/6.43 ,
% 6.03/6.43 'class_Ring__and__Field_Odivision__by__zero' [110, 1] (w:1, o:108, a:
% 6.03/6.43 1, s:1, b:0),
% 6.03/6.43 'class_Ring__and__Field_Oordered__idom' [111, 1] (w:1, o:92, a:1, s:1
% 6.03/6.43 , b:0),
% 6.03/6.43 'c_Transcendental_Ocos' [112, 1] (w:1, o:109, a:1, s:1, b:0),
% 6.03/6.43 'class_Ring__and__Field_Oordered__ring__strict' [113, 1] (w:1, o:81
% 6.03/6.43 , a:1, s:1, b:0),
% 6.03/6.43 'class_Ring__and__Field_Oordered__semiring__strict' [114, 1] (w:1, o:
% 6.03/6.43 93, a:1, s:1, b:0),
% 6.03/6.43 'class_Ring__and__Field_Oordered__comm__semiring__strict' [115, 1]
% 6.03/6.43 (w:1, o:94, a:1, s:1, b:0),
% 6.03/6.43 'class_Ring__and__Field_Omult__mono1' [116, 1] (w:1, o:110, a:1, s:1
% 6.03/6.43 , b:0),
% 6.03/6.43 'class_Ring__and__Field_Omult__mono' [117, 1] (w:1, o:111, a:1, s:1
% 6.03/6.43 , b:0),
% 6.03/6.43 'class_Lattices_Oboolean__algebra' [120, 1] (w:1, o:112, a:1, s:1, b:
% 6.03/6.43 0),
% 6.03/6.43 'c_Transcendental_Osko__Transcendental__Xsin__zero__lemma__1__1' [121, 1
% 6.03/6.43 ] (w:1, o:73, a:1, s:1, b:0),
% 6.03/6.43 'class_OrderedGroup_Oab__semigroup__add' [122, 1] (w:1, o:113, a:1
% 6.03/6.43 , s:1, b:0),
% 6.03/6.43 'class_RealVector_Oreal__normed__algebra' [124, 1] (w:1, o:114, a:1
% 6.03/6.43 , s:1, b:0),
% 6.03/6.43 'class_Ring__and__Field_Opordered__cancel__semiring' [125, 1] (w:1
% 6.03/6.43 , o:115, a:1, s:1, b:0),
% 6.03/6.43 'class_Ring__and__Field_Opordered__semiring' [126, 1] (w:1, o:116, a:
% 6.03/6.43 1, s:1, b:0),
% 6.03/6.43 'class_Ring__and__Field_Osemiring' [127, 1] (w:1, o:118, a:1, s:1, b:
% 6.03/6.43 0),
% 6.03/6.43 'c_Transcendental_Osko__Transcendental__Xsin__zero__iff__1__2' [128, 1
% 6.03/6.43 ] (w:1, o:75, a:1, s:1, b:0),
% 6.03/6.43 'c_Transcendental_Osko__Transcendental__Xsin__zero__iff__1__1' [129, 1
% 6.03/6.43 ] (w:1, o:74, a:1, s:1, b:0),
% 6.03/6.43 'c_Transcendental_Osko__Transcendental__Xcos__zero__lemma__1__1' [130, 1
% 6.03/6.43 ] (w:1, o:76, a:1, s:1, b:0),
% 6.03/6.43 'c_Transcendental_Osko__Transcendental__Xcos__zero__iff__1__2' [131, 1
% 6.03/6.43 ] (w:1, o:78, a:1, s:1, b:0),
% 6.03/6.43 'c_Transcendental_Osko__Transcendental__Xcos__zero__iff__1__1' [132, 1
% 6.03/6.43 ] (w:1, o:77, a:1, s:1, b:0),
% 6.03/6.43 'class_Ring__and__Field_Ozero__neq__one' [133, 1] (w:1, o:119, a:1
% 6.03/6.43 , s:1, b:0),
% 6.03/6.43 'class_OrderedGroup_Omonoid__add' [134, 1] (w:1, o:120, a:1, s:1, b:0
% 6.03/6.43 ),
% 6.03/6.43 'class_Ring__and__Field_Oordered__semiring' [135, 1] (w:1, o:95, a:1
% 6.03/6.43 , s:1, b:0),
% 6.03/6.43 hAPP [137, 2] (w:1, o:160, a:1, s:1, b:0),
% 6.03/6.43 'class_Ring__and__Field_Ocomm__semiring' [138, 1] (w:1, o:107, a:1
% 6.03/6.43 , s:1, b:0),
% 6.03/6.43 'class_OrderedGroup_Omonoid__mult' [142, 1] (w:1, o:121, a:1, s:1, b:
% 6.03/6.43 0),
% 6.03/6.43 'class_OrderedGroup_Ocomm__monoid__mult' [143, 1] (w:1, o:122, a:1
% 6.03/6.43 , s:1, b:0),
% 6.03/6.43 'class_RealVector_Oreal__field' [144, 1] (w:1, o:123, a:1, s:1, b:0)
% 6.03/6.43 ,
% 6.03/6.43 'class_RealVector_Oreal__normed__field' [147, 1] (w:1, o:124, a:1, s:
% 6.03/6.43 1, b:0),
% 6.03/6.43 'c_FFT__Mirabelle_Oroot' [150, 1] (w:1, o:125, a:1, s:1, b:0),
% 6.03/6.43 'c_Complex_Ocis' [151, 1] (w:1, o:126, a:1, s:1, b:0),
% 6.03/6.43 'class_Ring__and__Field_Oring__no__zero__divisors' [153, 1] (w:1, o:
% 6.03/6.43 117, a:1, s:1, b:0),
% 6.03/6.43 'class_Ring__and__Field_Omult__zero' [154, 1] (w:1, o:127, a:1, s:1
% 6.03/6.43 , b:0),
% 6.03/6.43 'class_OrderedGroup_Oab__semigroup__mult' [160, 1] (w:1, o:128, a:1
% 28.69/29.06 , s:1, b:0),
% 28.69/29.06 'class_OrderedGroup_Oab__semigroup__idem__mult' [161, 1] (w:1, o:129
% 28.69/29.06 , a:1, s:1, b:0),
% 28.69/29.06 'class_Ring__and__Field_Ono__zero__divisors' [162, 1] (w:1, o:80, a:1
% 28.69/29.06 , s:1, b:0),
% 28.69/29.06 'class_Int_Oring__char__0' [163, 1] (w:1, o:130, a:1, s:1, b:0),
% 28.69/29.06 'v_n' [164, 0] (w:1, o:54, a:1, s:1, b:0),
% 28.69/29.06 'tc_Int_Oint' [165, 0] (w:1, o:55, a:1, s:1, b:0),
% 28.69/29.06 'tc_Complex_Ocomplex' [166, 0] (w:1, o:56, a:1, s:1, b:0).
% 28.69/29.06
% 28.69/29.06
% 28.69/29.06 Starting Search:
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06
% 28.69/29.06 Intermediate Status:
% 28.69/29.06 Generated: 2817
% 28.69/29.06 Kept: 2016
% 28.69/29.06 Inuse: 184
% 28.69/29.06 Deleted: 2
% 28.69/29.06 Deletedinuse: 0
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06
% 28.69/29.06 Intermediate Status:
% 28.69/29.06 Generated: 8789
% 28.69/29.06 Kept: 4106
% 28.69/29.06 Inuse: 312
% 28.69/29.06 Deleted: 4
% 28.69/29.06 Deletedinuse: 0
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06
% 28.69/29.06 Intermediate Status:
% 28.69/29.06 Generated: 17774
% 28.69/29.06 Kept: 6362
% 28.69/29.06 Inuse: 381
% 28.69/29.06 Deleted: 5
% 28.69/29.06 Deletedinuse: 0
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06
% 28.69/29.06 Intermediate Status:
% 28.69/29.06 Generated: 29070
% 28.69/29.06 Kept: 9164
% 28.69/29.06 Inuse: 451
% 28.69/29.06 Deleted: 8
% 28.69/29.06 Deletedinuse: 0
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06
% 28.69/29.06 Intermediate Status:
% 28.69/29.06 Generated: 39173
% 28.69/29.06 Kept: 12015
% 28.69/29.06 Inuse: 508
% 28.69/29.06 Deleted: 8
% 28.69/29.06 Deletedinuse: 0
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06
% 28.69/29.06 Intermediate Status:
% 28.69/29.06 Generated: 46576
% 28.69/29.06 Kept: 14083
% 28.69/29.06 Inuse: 587
% 28.69/29.06 Deleted: 9
% 28.69/29.06 Deletedinuse: 0
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06
% 28.69/29.06 Intermediate Status:
% 28.69/29.06 Generated: 54257
% 28.69/29.06 Kept: 16358
% 28.69/29.06 Inuse: 654
% 28.69/29.06 Deleted: 10
% 28.69/29.06 Deletedinuse: 0
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06
% 28.69/29.06 Intermediate Status:
% 28.69/29.06 Generated: 62147
% 28.69/29.06 Kept: 18517
% 28.69/29.06 Inuse: 724
% 28.69/29.06 Deleted: 12
% 28.69/29.06 Deletedinuse: 0
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06 Resimplifying clauses:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06
% 28.69/29.06 Intermediate Status:
% 28.69/29.06 Generated: 71025
% 28.69/29.06 Kept: 20660
% 28.69/29.06 Inuse: 793
% 28.69/29.06 Deleted: 597
% 28.69/29.06 Deletedinuse: 0
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06
% 28.69/29.06 Intermediate Status:
% 28.69/29.06 Generated: 78502
% 28.69/29.06 Kept: 22665
% 28.69/29.06 Inuse: 849
% 28.69/29.06 Deleted: 597
% 28.69/29.06 Deletedinuse: 0
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06
% 28.69/29.06 Intermediate Status:
% 28.69/29.06 Generated: 85478
% 28.69/29.06 Kept: 24681
% 28.69/29.06 Inuse: 889
% 28.69/29.06 Deleted: 597
% 28.69/29.06 Deletedinuse: 0
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06
% 28.69/29.06 Intermediate Status:
% 28.69/29.06 Generated: 100814
% 28.69/29.06 Kept: 31224
% 28.69/29.06 Inuse: 933
% 28.69/29.06 Deleted: 599
% 28.69/29.06 Deletedinuse: 2
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06
% 28.69/29.06 Intermediate Status:
% 28.69/29.06 Generated: 120276
% 28.69/29.06 Kept: 35910
% 28.69/29.06 Inuse: 953
% 28.69/29.06 Deleted: 599
% 28.69/29.06 Deletedinuse: 2
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06
% 28.69/29.06 Intermediate Status:
% 28.69/29.06 Generated: 127357
% 28.69/29.06 Kept: 38013
% 28.69/29.06 Inuse: 1002
% 28.69/29.06 Deleted: 600
% 28.69/29.06 Deletedinuse: 2
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06
% 28.69/29.06 Intermediate Status:
% 28.69/29.06 Generated: 133815
% 28.69/29.06 Kept: 40110
% 28.69/29.06 Inuse: 1042
% 28.69/29.06 Deleted: 600
% 28.69/29.06 Deletedinuse: 2
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06 Resimplifying clauses:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06
% 28.69/29.06 Intermediate Status:
% 28.69/29.06 Generated: 151711
% 28.69/29.06 Kept: 42164
% 28.69/29.06 Inuse: 1057
% 28.69/29.06 Deleted: 1267
% 28.69/29.06 Deletedinuse: 2
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06
% 28.69/29.06 Intermediate Status:
% 28.69/29.06 Generated: 171062
% 28.69/29.06 Kept: 45851
% 28.69/29.06 Inuse: 1067
% 28.69/29.06 Deleted: 1267
% 28.69/29.06 Deletedinuse: 2
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06
% 28.69/29.06 Intermediate Status:
% 28.69/29.06 Generated: 181216
% 28.69/29.06 Kept: 48666
% 28.69/29.06 Inuse: 1072
% 28.69/29.06 Deleted: 1267
% 28.69/29.06 Deletedinuse: 2
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06
% 28.69/29.06 Intermediate Status:
% 28.69/29.06 Generated: 191503
% 28.69/29.06 Kept: 51510
% 28.69/29.06 Inuse: 1077
% 28.69/29.06 Deleted: 1267
% 28.69/29.06 Deletedinuse: 2
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06
% 28.69/29.06 Intermediate Status:
% 28.69/29.06 Generated: 199000
% 28.69/29.06 Kept: 53540
% 28.69/29.06 Inuse: 1112
% 28.69/29.06 Deleted: 1267
% 28.69/29.06 Deletedinuse: 2
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06
% 28.69/29.06 Intermediate Status:
% 28.69/29.06 Generated: 214416
% 28.69/29.06 Kept: 56457
% 28.69/29.06 Inuse: 1137
% 28.69/29.06 Deleted: 1267
% 28.69/29.06 Deletedinuse: 2
% 28.69/29.06
% 28.69/29.06 Resimplifying inuse:
% 28.69/29.06 Done
% 28.69/29.06
% 28.69/29.06
% 28.69/29.06 Intermediate Status:
% 28.69/29.06 Generated: 225515
% 28.69/29.06 Kept: 63106
% 28.69/29.06 Inuse: 1142
% 28.69/29.06 Deleted: 1267
% 98.86/99.30 Deletedinuse: 2
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30 Resimplifying clauses:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30
% 98.86/99.30 Intermediate Status:
% 98.86/99.30 Generated: 230304
% 98.86/99.30 Kept: 66045
% 98.86/99.30 Inuse: 1147
% 98.86/99.30 Deleted: 1349
% 98.86/99.30 Deletedinuse: 2
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30
% 98.86/99.30 Intermediate Status:
% 98.86/99.30 Generated: 236298
% 98.86/99.30 Kept: 68051
% 98.86/99.30 Inuse: 1169
% 98.86/99.30 Deleted: 1349
% 98.86/99.30 Deletedinuse: 2
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30
% 98.86/99.30 Intermediate Status:
% 98.86/99.30 Generated: 243310
% 98.86/99.30 Kept: 70092
% 98.86/99.30 Inuse: 1197
% 98.86/99.30 Deleted: 1349
% 98.86/99.30 Deletedinuse: 2
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30
% 98.86/99.30 Intermediate Status:
% 98.86/99.30 Generated: 252125
% 98.86/99.30 Kept: 72141
% 98.86/99.30 Inuse: 1232
% 98.86/99.30 Deleted: 1349
% 98.86/99.30 Deletedinuse: 2
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30
% 98.86/99.30 Intermediate Status:
% 98.86/99.30 Generated: 259596
% 98.86/99.30 Kept: 74152
% 98.86/99.30 Inuse: 1261
% 98.86/99.30 Deleted: 1349
% 98.86/99.30 Deletedinuse: 2
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30
% 98.86/99.30 Intermediate Status:
% 98.86/99.30 Generated: 268296
% 98.86/99.30 Kept: 76162
% 98.86/99.30 Inuse: 1293
% 98.86/99.30 Deleted: 1351
% 98.86/99.30 Deletedinuse: 4
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30
% 98.86/99.30 Intermediate Status:
% 98.86/99.30 Generated: 290605
% 98.86/99.30 Kept: 79052
% 98.86/99.30 Inuse: 1307
% 98.86/99.30 Deleted: 1351
% 98.86/99.30 Deletedinuse: 4
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30
% 98.86/99.30 Intermediate Status:
% 98.86/99.30 Generated: 302342
% 98.86/99.30 Kept: 81498
% 98.86/99.30 Inuse: 1317
% 98.86/99.30 Deleted: 1351
% 98.86/99.30 Deletedinuse: 4
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30 Resimplifying clauses:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30
% 98.86/99.30 Intermediate Status:
% 98.86/99.30 Generated: 310856
% 98.86/99.30 Kept: 83538
% 98.86/99.30 Inuse: 1342
% 98.86/99.30 Deleted: 2132
% 98.86/99.30 Deletedinuse: 4
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30
% 98.86/99.30 Intermediate Status:
% 98.86/99.30 Generated: 323637
% 98.86/99.30 Kept: 85869
% 98.86/99.30 Inuse: 1371
% 98.86/99.30 Deleted: 2136
% 98.86/99.30 Deletedinuse: 7
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30
% 98.86/99.30 Intermediate Status:
% 98.86/99.30 Generated: 334286
% 98.86/99.30 Kept: 88042
% 98.86/99.30 Inuse: 1396
% 98.86/99.30 Deleted: 2136
% 98.86/99.30 Deletedinuse: 7
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30
% 98.86/99.30 Intermediate Status:
% 98.86/99.30 Generated: 343104
% 98.86/99.30 Kept: 90072
% 98.86/99.30 Inuse: 1423
% 98.86/99.30 Deleted: 2136
% 98.86/99.30 Deletedinuse: 7
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30
% 98.86/99.30 Intermediate Status:
% 98.86/99.30 Generated: 350717
% 98.86/99.30 Kept: 92133
% 98.86/99.30 Inuse: 1446
% 98.86/99.30 Deleted: 2136
% 98.86/99.30 Deletedinuse: 7
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30
% 98.86/99.30 Intermediate Status:
% 98.86/99.30 Generated: 358734
% 98.86/99.30 Kept: 94169
% 98.86/99.30 Inuse: 1472
% 98.86/99.30 Deleted: 2136
% 98.86/99.30 Deletedinuse: 7
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30
% 98.86/99.30 Intermediate Status:
% 98.86/99.30 Generated: 367231
% 98.86/99.30 Kept: 96340
% 98.86/99.30 Inuse: 1496
% 98.86/99.30 Deleted: 2136
% 98.86/99.30 Deletedinuse: 7
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30
% 98.86/99.30 Intermediate Status:
% 98.86/99.30 Generated: 380895
% 98.86/99.30 Kept: 98935
% 98.86/99.30 Inuse: 1506
% 98.86/99.30 Deleted: 2136
% 98.86/99.30 Deletedinuse: 7
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30
% 98.86/99.30 Intermediate Status:
% 98.86/99.30 Generated: 389892
% 98.86/99.30 Kept: 101167
% 98.86/99.30 Inuse: 1531
% 98.86/99.30 Deleted: 2136
% 98.86/99.30 Deletedinuse: 7
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30
% 98.86/99.30 Intermediate Status:
% 98.86/99.30 Generated: 416028
% 98.86/99.30 Kept: 105685
% 98.86/99.30 Inuse: 1551
% 98.86/99.30 Deleted: 2136
% 98.86/99.30 Deletedinuse: 7
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30 Resimplifying clauses:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30
% 98.86/99.30 Intermediate Status:
% 98.86/99.30 Generated: 426855
% 98.86/99.30 Kept: 107696
% 98.86/99.30 Inuse: 1573
% 98.86/99.30 Deleted: 3263
% 98.86/99.30 Deletedinuse: 7
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30
% 98.86/99.30 Intermediate Status:
% 98.86/99.30 Generated: 438077
% 98.86/99.30 Kept: 109906
% 98.86/99.30 Inuse: 1596
% 98.86/99.30 Deleted: 3263
% 98.86/99.30 Deletedinuse: 7
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30
% 98.86/99.30 Intermediate Status:
% 98.86/99.30 Generated: 465975
% 98.86/99.30 Kept: 116700
% 98.86/99.30 Inuse: 1618
% 98.86/99.30 Deleted: 3263
% 98.86/99.30 Deletedinuse: 7
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30
% 98.86/99.30 Intermediate Status:
% 98.86/99.30 Generated: 475204
% 98.86/99.30 Kept: 118787
% 98.86/99.30 Inuse: 1651
% 98.86/99.30 Deleted: 3263
% 98.86/99.30 Deletedinuse: 7
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30
% 98.86/99.30 Intermediate Status:
% 98.86/99.30 Generated: 489084
% 98.86/99.30 Kept: 121608
% 98.86/99.30 Inuse: 1676
% 98.86/99.30 Deleted: 3267
% 98.86/99.30 Deletedinuse: 11
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30 Resimplifying inuse:
% 98.86/99.30 Done
% 98.86/99.30
% 98.86/99.30
% 98.86/99.30 Intermediate Status:
% 98.86/99.30 Generated: 498364
% 98.86/99.30 Kept: 123787
% 205.39/205.78 Inuse: 1706
% 205.39/205.78 Deleted: 3267
% 205.39/205.78 Deletedinuse: 11
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78
% 205.39/205.78 Intermediate Status:
% 205.39/205.78 Generated: 508127
% 205.39/205.78 Kept: 125912
% 205.39/205.78 Inuse: 1741
% 205.39/205.78 Deleted: 3267
% 205.39/205.78 Deletedinuse: 11
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78 Resimplifying clauses:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78
% 205.39/205.78 Intermediate Status:
% 205.39/205.78 Generated: 516360
% 205.39/205.78 Kept: 128132
% 205.39/205.78 Inuse: 1766
% 205.39/205.78 Deleted: 4060
% 205.39/205.78 Deletedinuse: 12
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78
% 205.39/205.78 Intermediate Status:
% 205.39/205.78 Generated: 527190
% 205.39/205.78 Kept: 132034
% 205.39/205.78 Inuse: 1781
% 205.39/205.78 Deleted: 4060
% 205.39/205.78 Deletedinuse: 12
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78
% 205.39/205.78 Intermediate Status:
% 205.39/205.78 Generated: 535166
% 205.39/205.78 Kept: 134381
% 205.39/205.78 Inuse: 1786
% 205.39/205.78 Deleted: 4060
% 205.39/205.78 Deletedinuse: 12
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78
% 205.39/205.78 Intermediate Status:
% 205.39/205.78 Generated: 545798
% 205.39/205.78 Kept: 136409
% 205.39/205.78 Inuse: 1802
% 205.39/205.78 Deleted: 4060
% 205.39/205.78 Deletedinuse: 12
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78
% 205.39/205.78 Intermediate Status:
% 205.39/205.78 Generated: 556551
% 205.39/205.78 Kept: 138434
% 205.39/205.78 Inuse: 1817
% 205.39/205.78 Deleted: 4060
% 205.39/205.78 Deletedinuse: 12
% 205.39/205.78
% 205.39/205.78
% 205.39/205.78 Intermediate Status:
% 205.39/205.78 Generated: 571838
% 205.39/205.78 Kept: 144803
% 205.39/205.78 Inuse: 1821
% 205.39/205.78 Deleted: 4060
% 205.39/205.78 Deletedinuse: 12
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78
% 205.39/205.78 Intermediate Status:
% 205.39/205.78 Generated: 587754
% 205.39/205.78 Kept: 151148
% 205.39/205.78 Inuse: 1826
% 205.39/205.78 Deleted: 4060
% 205.39/205.78 Deletedinuse: 12
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78 Resimplifying clauses:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78
% 205.39/205.78 Intermediate Status:
% 205.39/205.78 Generated: 602579
% 205.39/205.78 Kept: 153983
% 205.39/205.78 Inuse: 1831
% 205.39/205.78 Deleted: 4271
% 205.39/205.78 Deletedinuse: 12
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78
% 205.39/205.78 Intermediate Status:
% 205.39/205.78 Generated: 616374
% 205.39/205.78 Kept: 156291
% 205.39/205.78 Inuse: 1866
% 205.39/205.78 Deleted: 4271
% 205.39/205.78 Deletedinuse: 12
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78
% 205.39/205.78 Intermediate Status:
% 205.39/205.78 Generated: 626338
% 205.39/205.78 Kept: 158396
% 205.39/205.78 Inuse: 1881
% 205.39/205.78 Deleted: 4272
% 205.39/205.78 Deletedinuse: 13
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78
% 205.39/205.78 Intermediate Status:
% 205.39/205.78 Generated: 654728
% 205.39/205.78 Kept: 166124
% 205.39/205.78 Inuse: 1898
% 205.39/205.78 Deleted: 4280
% 205.39/205.78 Deletedinuse: 14
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78
% 205.39/205.78 Intermediate Status:
% 205.39/205.78 Generated: 661319
% 205.39/205.78 Kept: 168340
% 205.39/205.78 Inuse: 1914
% 205.39/205.78 Deleted: 4280
% 205.39/205.78 Deletedinuse: 14
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78
% 205.39/205.78 Intermediate Status:
% 205.39/205.78 Generated: 669673
% 205.39/205.78 Kept: 170380
% 205.39/205.78 Inuse: 1930
% 205.39/205.78 Deleted: 4280
% 205.39/205.78 Deletedinuse: 14
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78 Resimplifying clauses:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78
% 205.39/205.78 Intermediate Status:
% 205.39/205.78 Generated: 676545
% 205.39/205.78 Kept: 172391
% 205.39/205.78 Inuse: 1947
% 205.39/205.78 Deleted: 4590
% 205.39/205.78 Deletedinuse: 14
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78
% 205.39/205.78 Intermediate Status:
% 205.39/205.78 Generated: 689302
% 205.39/205.78 Kept: 175278
% 205.39/205.78 Inuse: 1959
% 205.39/205.78 Deleted: 4590
% 205.39/205.78 Deletedinuse: 14
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78
% 205.39/205.78 Intermediate Status:
% 205.39/205.78 Generated: 708376
% 205.39/205.78 Kept: 178831
% 205.39/205.78 Inuse: 1969
% 205.39/205.78 Deleted: 4590
% 205.39/205.78 Deletedinuse: 14
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78
% 205.39/205.78 Intermediate Status:
% 205.39/205.78 Generated: 759169
% 205.39/205.78 Kept: 184351
% 205.39/205.78 Inuse: 1979
% 205.39/205.78 Deleted: 4590
% 205.39/205.78 Deletedinuse: 14
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78
% 205.39/205.78 Intermediate Status:
% 205.39/205.78 Generated: 767233
% 205.39/205.78 Kept: 186351
% 205.39/205.78 Inuse: 1997
% 205.39/205.78 Deleted: 4590
% 205.39/205.78 Deletedinuse: 14
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78
% 205.39/205.78 Intermediate Status:
% 205.39/205.78 Generated: 776535
% 205.39/205.78 Kept: 188527
% 205.39/205.78 Inuse: 2014
% 205.39/205.78 Deleted: 4590
% 205.39/205.78 Deletedinuse: 14
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78
% 205.39/205.78 Intermediate Status:
% 205.39/205.78 Generated: 786779
% 205.39/205.78 Kept: 190602
% 205.39/205.78 Inuse: 2034
% 205.39/205.78 Deleted: 4590
% 205.39/205.78 Deletedinuse: 14
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78
% 205.39/205.78 Intermediate Status:
% 205.39/205.78 Generated: 799854
% 205.39/205.78 Kept: 192760
% 205.39/205.78 Inuse: 2044
% 205.39/205.78 Deleted: 4590
% 205.39/205.78 Deletedinuse: 14
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78 Resimplifying clauses:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78
% 205.39/205.78 Intermediate Status:
% 205.39/205.78 Generated: 820535
% 205.39/205.78 Kept: 196181
% 205.39/205.78 Inuse: 2054
% 205.39/205.78 Deleted: 5021
% 205.39/205.78 Deletedinuse: 14
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78 Resimplifying inuse:
% 205.39/205.78 Done
% 205.39/205.78
% 205.39/205.78
% 205.39/205.78 Intermediate Status:
% 205.39/205.78 Generated: 840788
% 205.39/205.78 Kept: 200163
% 205.39/205.78 Inuse: 2064
% 205.39/205.78 Deleted: 5021
% 205.39/205.78 Deletedinuse: 14
% 205.39/205.78
% 205.39/205.78 ResiCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------