TSTP Solution File: SWV619-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV619-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 16:27:11 EDT 2022
% Result : Timeout 300.05s 300.98s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV619-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Wed Jun 15 23:05:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.03/1.40 *** allocated 10000 integers for termspace/termends
% 1.03/1.40 *** allocated 10000 integers for clauses
% 1.03/1.40 *** allocated 10000 integers for justifications
% 1.03/1.40 *** allocated 15000 integers for termspace/termends
% 1.03/1.40 *** allocated 22500 integers for termspace/termends
% 1.03/1.40 *** allocated 33750 integers for termspace/termends
% 1.03/1.40 Bliksem 1.12
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 Automatic Strategy Selection
% 1.03/1.40
% 1.03/1.40 Clauses:
% 1.03/1.40 [
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.03/1.40 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 1.03/1.40 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.40 X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.03/1.40 ), Y ) ],
% 1.03/1.40 [ =( X, 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.03/1.40 ), Y ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.03/1.40 ), Y ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.03/1.40 ), Y ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.03/1.40 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.03/1.40 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.03/1.40 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.03/1.40 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.03/1.40 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Otan'( X ),
% 1.03/1.40 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Osin'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ) ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.03/1.40 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.03/1.40 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.03/1.40 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.40 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.40 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.40 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.40 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.03/1.40 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 ) ), =( Y, Z ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 ) ), =( Y, Z ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.40 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.40 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.40 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.03/1.40 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), =( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.03/1.40 Z, 'tc_nat' ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.03/1.40 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.03/1.40 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.03/1.40 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.03/1.40 Z, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.03/1.40 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Z, Y, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.40 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.03/1.40 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.40 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.40 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.40 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.03/1.40 , X ) ) ],
% 1.03/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.03/1.40 , X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 Y, T, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.40 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 Y, T, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.40 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.03/1.40 X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 Z, T, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.40 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 Z, T, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.40 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.03/1.40 X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.03/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.40 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.40 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.40 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.03/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.03/1.40 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.03/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.40 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.03/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.40 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.40 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.03/1.40 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.03/1.40 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 Z, Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.03/1.40 , X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.03/1.40 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.40 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.03/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.03/1.40 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.03/1.40 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.03/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.03/1.40 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.03/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.40 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.03/1.40 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 1.03/1.40 [ 'c_lessequals'( X, 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.03/1.40 ],
% 1.03/1.40 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.03/1.40 , U, X ), X ) ) ],
% 1.03/1.40 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.03/1.40 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.03/1.40 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.03/1.40 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.03/1.40 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.03/1.40 'class_OrderedGroup_Omonoid__mult'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.03/1.40 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.03/1.40 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.03/1.40 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.03/1.40 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.40 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.03/1.40 , T, X ) ) ), =( Y, Z ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.03/1.40 , T, X ) ) ), =( Z, T ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.03/1.40 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.03/1.40 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.03/1.40 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_Transcendental_Opi', X, 'tc_RealDef_Oreal' ) ),
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.03/1.40 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.03/1.40 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Otan'(
% 1.03/1.40 'c_Transcendental_Osko__Transcendental__Xtan__total__1__1'( X ) ), X ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.03/1.40 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.03/1.40 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.03/1.40 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.03/1.40 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.03/1.40 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.03/1.40 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.03/1.40 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.03/1.40 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.03/1.40 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.03/1.40 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ =( X, 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 1.03/1.40 ), Y ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.40 'c_Transcendental_Oarctan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Oarctan'( X ) ), X ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.03/1.40 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Ocos'( X ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.03/1.40 , X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.40 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.03/1.40 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.40 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.03/1.40 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.03/1.40 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.03/1.40 , X ), T, X ), W, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.03/1.40 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.03/1.40 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.03/1.40 , X ), W, X ), X ) ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_Transcendental_Oarctan'( X ),
% 1.03/1.40 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.40 X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.03/1.40 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.03/1.40 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.03/1.40 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.03/1.40 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.40 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.40 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Transcendental_Osko__Transcendental__Xtan__total__pos__1__1'( X ),
% 1.03/1.40 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'(
% 1.03/1.40 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.03/1.40 , ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.03/1.40 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.03/1.40 , X ) ) ), =( Y, Z ) ],
% 1.03/1.40 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.03/1.40 , X ) ) ), =( Y, Z ) ],
% 1.03/1.40 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.40 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.03/1.40 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.03/1.40 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.03/1.40 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.03/1.40 , 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.40 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.03/1.40 X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.40 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.40 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.03/1.40 X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.40 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.03/1.40 ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.03/1.40 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 , ~( 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 1.03/1.40 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.03/1.40 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ =( 'c_Transcendental_Otan'(
% 1.03/1.40 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total1__1__1'( X ) )
% 1.03/1.40 , X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.03/1.40 Z, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, Z
% 1.03/1.40 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.03/1.40 T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X ) ),
% 1.03/1.40 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.03/1.40 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.03/1.40 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.40 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.40 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Otan'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.40 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.03/1.40 [ ~( =( 'c_Transcendental_Ocos'( 'c_Transcendental_Oarctan'( X ) ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 1.03/1.40 X ), X ) ) ],
% 1.03/1.40 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.40 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.40 Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.40 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.40 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.03/1.40 X ) ) ), =( Z, T ) ],
% 1.03/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.03/1.40 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.03/1.40 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.03/1.40 , X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.03/1.40 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.03/1.40 , X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.03/1.40 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.03/1.40 , X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.03/1.40 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.03/1.40 , X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 1.03/1.40 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.03/1.40 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.03/1.40 , X ), W, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.03/1.40 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 1.03/1.40 W, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.03/1.40 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.03/1.40 , X ), T, X ), W, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.03/1.40 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 1.03/1.40 W, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.03/1.40 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.03/1.40 , Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.03/1.40 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.03/1.40 , Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.03/1.40 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.03/1.40 X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.40 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.03/1.40 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.40 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.03/1.40 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.03/1.40 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 1.03/1.40 Y, Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 Y, Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 Y, Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.03/1.40 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.03/1.40 X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.03/1.40 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.03/1.40 X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.03/1.40 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.03/1.40 X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.03/1.40 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.03/1.40 X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.40 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.40 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.03/1.40 X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.03/1.40 , Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.03/1.40 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.40 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.03/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.40 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.03/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.03/1.40 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.03/1.40 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.03/1.40 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.03/1.40 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.03/1.40 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.03/1.40 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.03/1.40 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.03/1.40 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.03/1.40 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 1.03/1.40 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 1.03/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( Y ), X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.40 , X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.40 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Otan'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.03/1.40 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.03/1.40 ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X,
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.03/1.40 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( X, 'c_Transcendental_Otan'(
% 1.03/1.40 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total__1__1'( X ) )
% 1.03/1.40 , 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.40 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.40 Y, X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.40 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.40 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.03/1.40 Z, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.03/1.40 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.03/1.40 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.40 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 Y, Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.03/1.40 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.03/1.40 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.03/1.40 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.03/1.40 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.03/1.40 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X ),
% 1.03/1.40 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 1.03/1.40 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 1.03/1.40 , 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 1.03/1.40 Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ),
% 1.03/1.40 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y
% 1.03/1.40 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.03/1.40 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'(
% 1.03/1.40 X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'(
% 1.03/1.40 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, 'c_Transcendental_Opi',
% 1.03/1.40 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ),
% 1.03/1.40 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.03/1.40 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ 'c_lessequals'( 'c_Transcendental_Ocos'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.03/1.40 X ) ) ), =( Z, T ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.03/1.40 X ) ) ), =( Y, T ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.40 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.03/1.40 ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.03/1.40 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.03/1.40 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.03/1.40 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 1.03/1.40 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.40 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ =( 'c_Transcendental_Otan'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_Transcendental_Osin'( X ), 'c_Transcendental_Ocos'( X ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.03/1.40 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( Y ),
% 1.03/1.40 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( Y ),
% 1.03/1.40 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.03/1.40 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.03/1.40 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 1.03/1.40 , X ), 'c_Power_Opower__class_Opower'( Y, Z, X ) ), ~(
% 1.03/1.40 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.03/1.40 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.03/1.40 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.03/1.40 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.03/1.40 , X ), W, X ) ) ],
% 1.03/1.40 [ =( 'c_NthRoot_Osqrt'( 'c_Power_Opower__class_Opower'( X, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'c_Power_Opower__class_Opower'( 'c_NthRoot_Osqrt'(
% 1.03/1.40 X ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_NthRoot_Osqrt'(
% 1.03/1.40 X ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.03/1.40 X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.03/1.40 X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.03/1.40 X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 1.03/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 1.03/1.40 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Otan'(
% 1.03/1.40 'c_Transcendental_Osko__Transcendental__Xtan__total__pos__1__1'( X ) ), X
% 1.03/1.40 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.03/1.40 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.03/1.40 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.40 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.40 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 1.03/1.40 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.03/1.40 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 1.03/1.40 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.03/1.40 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 X ), X ) ) ],
% 1.03/1.40 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.03/1.40 ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal'
% 1.03/1.40 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.40 ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 , X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.03/1.40 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Otan'(
% 1.03/1.40 X ) ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Ocos'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.40 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.03/1.40 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 1.03/1.40 ), Y, X ) ), =( Z, T ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 1.03/1.40 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Power_Opower__class_Opower'( Y
% 1.03/1.40 , Z, X ), X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.40 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ),
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ) ),
% 1.03/1.40 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.03/1.40 X ) ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( Y ),
% 1.03/1.40 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( Y ),
% 1.03/1.40 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.03/1.40 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.03/1.40 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.03/1.40 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 1.03/1.40 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.03/1.40 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.03/1.40 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.40 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Z, Y, X
% 1.03/1.40 ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.03/1.40 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.03/1.40 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.03/1.40 ), X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.03/1.40 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.03/1.40 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.40 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.03/1.40 ), X ) ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.03/1.40 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.03/1.40 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.03/1.40 'c_lessequals'( Z, Y, X ) ],
% 1.03/1.40 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 1.03/1.40 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.03/1.40 'c_HOL_Oone__class_Oone'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.03/1.40 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ) )
% 1.03/1.40 ],
% 1.03/1.40 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 X, 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ),
% 1.03/1.40 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.03/1.40 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Otan'( X ) ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( Y, 'tc_nat' ),
% 1.03/1.40 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.03/1.40 'c_Transcendental_Otan'( X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.03/1.40 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.40 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 1.03/1.40 'c_lessequals'( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_lessequals'( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.40 ) ), 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ) )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.03/1.40 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.03/1.40 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.03/1.40 , T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.40 , Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.03/1.40 , T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.40 , Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.40 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.03/1.40 , T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.40 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.40 , Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.03/1.40 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.40 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.40 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 X ), T, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.03/1.40 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.40 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.40 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.03/1.40 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.03/1.40 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.03/1.40 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.03/1.40 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.40 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.40 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.03/1.40 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.03/1.40 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.03/1.40 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.03/1.40 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.03/1.40 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.03/1.40 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.40 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.40 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.40 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.03/1.40 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.40 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ),
% 1.03/1.40 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oone__class_Oone'( X )
% 1.03/1.40 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.03/1.40 ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.03/1.40 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 1.03/1.40 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.03/1.40 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 1.03/1.40 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( X,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.03/1.40 'c_Transcendental_Osin'( X ) ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.03/1.40 'c_Transcendental_Ocos'( X ) ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.03/1.40 'c_Transcendental_Otan'( X ) ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.40 ) ), 'c_HOL_Oinverse__class_Odivide'( 'c_NthRoot_Osqrt'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.03/1.40 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Transcendental_Opi',
% 1.03/1.40 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), =(
% 1.03/1.40 'c_Transcendental_Osin'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), =(
% 1.03/1.40 'c_Transcendental_Ocos'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_Transcendental_Oarctan'( X ), 'tc_RealDef_Oreal'
% 1.03/1.40 ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total1__1__1'( X ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ),
% 1.03/1.40 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.40 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.40 ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.40 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.40 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ),
% 1.03/1.40 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.40 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.40 ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.40 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.40 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ),
% 1.03/1.40 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.40 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.40 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Transcendental_Osko__Transcendental__Xtan__total__1__1'( X ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.40 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.03/1.40 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.40 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.03/1.40 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 1.03/1.40 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.03/1.40 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.03/1.40 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.40 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.03/1.40 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.40 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.40 ), X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.40 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.40 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.03/1.40 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.40 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.40 ), X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.40 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.40 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.40 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.03/1.40 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.40 ), X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.40 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.03/1.40 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.40 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Osin'( X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.40 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 1.03/1.40 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.40 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.40 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.40 , X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 , X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.03/1.40 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 , X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 , X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.40 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 , X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.03/1.40 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 , X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.03/1.40 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.03/1.40 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.03/1.40 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.03/1.40 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.40 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.03/1.40 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.03/1.40 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.40 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.40 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.40 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.40 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.03/1.40 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.03/1.40 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.03/1.40 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.03/1.40 , X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.03/1.40 , X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.03/1.40 , X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.03/1.40 , X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.40 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.03/1.40 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.03/1.40 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.40 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.03/1.40 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.03/1.40 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.03/1.40 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.40 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.03/1.40 X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z
% 1.03/1.40 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.40 , T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.03/1.40 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 Y, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ),
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.40 , T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.03/1.40 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.03/1.40 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.40 ), X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.03/1.40 X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 1.03/1.40 , X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.40 ), X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.40 ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.03/1.40 ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.40 ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.03/1.40 ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.03/1.40 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.03/1.40 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.03/1.40 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.40 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.03/1.40 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.03/1.40 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.03/1.40 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.40 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.03/1.40 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.40 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.03/1.40 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.40 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.03/1.40 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'( Y
% 1.03/1.40 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ), Y ) ],
% 1.03/1.40 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), Y, X ), Y ) ],
% 1.03/1.40 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), X ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.03/1.40 , 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.03/1.40 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.03/1.40 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.03/1.40 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total__1__1'( X ),
% 1.03/1.40 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.03/1.40 ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.03/1.40 ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_Transcendental_Osin'( X ), 'c_Transcendental_Osin'(
% 1.03/1.40 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ),
% 1.03/1.40 ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Osin'( X ), 'c_Transcendental_Ocos'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.40 ), X, 'tc_RealDef_Oreal' ) ) ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Osin'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.40 ), X, 'tc_RealDef_Oreal' ) ) ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_RealDef_Oreal'( X, 'tc_nat' ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Osin'( 'c_Transcendental_Opi' ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Opi' ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( X, Y ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.03/1.40 , 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.40 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.40 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 1.03/1.40 'c_Transcendental_Osko__Transcendental__Xtan__total__1__1'(
% 1.03/1.40 'c_Transcendental_Otan'( X ) ) ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Oarctan'( 'c_Transcendental_Otan'( X ) ), X ),
% 1.03/1.40 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.40 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.40 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_Transcendental_Osko__Transcendental__Xtan__total__pos__1__1'( X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.40 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_RealDef_Oreal'(
% 1.03/1.40 'c_RComplete_Osko__RComplete__Xreals__Archimedean3__1__1'( Y, X ),
% 1.03/1.40 'tc_nat' ), Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.03/1.40 ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ =( 'c_FFT__Mirabelle_Oroot'( X ), 'c_Complex_Ocis'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Transcendental_Opi', 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Otan'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_Transcendental_Opi',
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_Transcendental_Opi',
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), =(
% 1.03/1.40 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'(
% 1.03/1.40 X, 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), =(
% 1.03/1.40 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'(
% 1.03/1.40 X, 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.40 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.40 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.40 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.03/1.40 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.40 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.03/1.40 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.03/1.40 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.40 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.40 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.40 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.40 , X ), X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.40 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.40 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.40 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.40 ), X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.40 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.03/1.40 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 X ), T, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.03/1.40 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.40 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.03/1.40 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.40 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.40 ), X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.40 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.03/1.40 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.40 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.40 ), X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 , X ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.40 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.40 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.40 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.40 ), X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.40 , X ), X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.40 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.40 ), X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.40 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.40 , X ), X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), X ), Y, X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), X ), X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( =( 'c_Transcendental_Ocos'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.03/1.40 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oinverse__class_Odivide'( X
% 1.03/1.40 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( X,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( X,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.03/1.40 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y,
% 1.03/1.41 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.03/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.03/1.41 'c_Power_Opower__class_Opower'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X,
% 1.03/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.41 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.41 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ), X ), X ) ],
% 1.03/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( X,
% 1.03/1.41 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.03/1.41 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.03/1.41 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.41 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 1.03/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.03/1.41 ) ],
% 1.03/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.41 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.41 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.41 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.41 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.41 [ 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_Transcendental_Osko__Transcendental__Xtan__total__1__1'( X ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.41 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.41 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total1__1__1'( X ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.41 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.41 'tc_RealDef_Oreal' ), 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' )
% 1.03/1.41 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.41 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.03/1.41 ) ],
% 1.03/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.41 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.03/1.41 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.41 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.03/1.41 ) ],
% 1.03/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.41 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 1.03/1.41 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.41 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.03/1.41 ) ],
% 1.03/1.41 [ 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total__1__1'( X ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.41 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.03/1.41 ) ],
% 1.03/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.41 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.41 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.41 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.41 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.41 'c_RealDef_Oreal'( X, 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.03/1.41 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.41 'c_Int_OPls' ) ), X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.41 'c_Int_OPls' ) ), X ), X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.03/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.03/1.41 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.03/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 1.03/1.41 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.03/1.41 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.41 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 Y, T, X ), Z, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.41 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 Y, T, X ), Z, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.41 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.03/1.41 , X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.03/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.03/1.41 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.03/1.41 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.03/1.41 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.41 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.03/1.41 , X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.03/1.41 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ],
% 1.03/1.41 [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.03/1.41 X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.41 , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.03/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.03/1.41 X ), T, X ) ) ],
% 1.03/1.41 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.03/1.41 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.03/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.03/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.41 T, X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.03/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.03/1.41 X ), T, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.03/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.03/1.41 T, X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.03/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.03/1.41 X ), Z, X ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.03/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.03/1.41 T, X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.03/1.41 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ),
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.03/1.41 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.41 X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Y, T, X ),
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.03/1.41 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ) ) ],
% 1.03/1.41 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( X, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ),
% 1.03/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.41 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.41 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.41 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.41 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.41 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.41 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.41 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.41 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.41 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.03/1.41 [ ~( =( 'c_Transcendental_Opi', 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.41 'tc_RealDef_Oreal' ) ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.41 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.41 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.41 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.41 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.41 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.41 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.03/1.41 ), Y ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.03/1.41 ), Y ) ],
% 1.03/1.41 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 1.03/1.41 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 1.03/1.41 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.03/1.41 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 1.03/1.41 , 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.03/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.41 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.41 ), X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.41 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.41 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.41 ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.41 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.03/1.41 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.03/1.41 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.03/1.41 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.03/1.41 , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.03/1.41 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.41 [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 1.03/1.41 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 1.03/1.41 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.03/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.41 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.03/1.41 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.03/1.41 , Y, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.03/1.41 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.41 , Z, X ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.03/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.03/1.41 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.41 , Z, X ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.03/1.41 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.41 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.03/1.41 ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.03/1.41 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.41 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 1.03/1.41 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.03/1.41 ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.41 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.41 , T, X ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.41 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.41 , T, X ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.41 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.03/1.41 Z, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.41 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z,
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.41 , T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.41 ), T, X ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.41 , T, X ), Z, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.41 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.03/1.41 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.03/1.41 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.41 , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.41 , T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.41 , T, X ), Z, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.41 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.41 ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.41 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.41 ) ) ],
% 1.03/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.41 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.03/1.41 , X ) ) ],
% 1.03/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.41 ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.03/1.41 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.41 , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.03/1.41 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.03/1.41 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.03/1.41 , Y, X ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.03/1.41 , X ) ) ],
% 1.03/1.41 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.03/1.41 , Y, X ) ) ],
% 1.03/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 1.03/1.41 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X,
% 1.03/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.03/1.41 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), Z,
% 1.03/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.03/1.41 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.03/1.41 , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.03/1.41 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y,
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.03/1.41 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.41 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.41 , Y, X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.03/1.41 , T, X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.03/1.41 , T, X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.41 , Y, X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.41 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.03/1.41 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.03/1.41 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.41 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.41 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.41 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.03/1.41 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.03/1.41 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.03/1.41 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.03/1.41 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.41 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.41 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.03/1.41 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.41 X ), T, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.03/1.41 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.41 X ), Z, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.03/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.03/1.41 X ), Z, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.03/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.03/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.03/1.41 Z, X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.03/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.03/1.41 Z, X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.03/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.03/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.03/1.41 X ), Z, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.41 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.41 ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.41 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.41 ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.03/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.03/1.41 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.03/1.41 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.03/1.41 ), =( Z, Y ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.41 ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.03/1.41 ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.41 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.41 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.03/1.41 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.03/1.41 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.41 Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.03/1.41 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.41 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.03/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.03/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.41 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.03/1.41 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.03/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.03/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.41 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.41 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.41 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.41 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( =( 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_RealDef_Oreal'( Y, 'tc_nat'
% 1.03/1.41 ) ) ), =( X, Y ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.03/1.41 X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.41 , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.03/1.41 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.41 ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.03/1.41 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.41 X ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), Y
% 1.03/1.41 , X ), Y ) ],
% 1.03/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.03/1.41 , X ), Y ) ],
% 1.03/1.41 [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.41 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.41 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.41 ), X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.41 ), X ), Z, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.41 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.41 ), X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.41 ), X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.03/1.41 [ ~( 'c_HOL_Oord__class_Oless'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.03/1.41 ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.41 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.41 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.41 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.41 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.41 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.03/1.41 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.41 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.41 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.41 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.41 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.41 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.03/1.41 , Y, X ) ) ],
% 1.03/1.41 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.03/1.41 , Y, X ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.03/1.41 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.03/1.41 ],
% 1.03/1.41 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.03/1.41 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.03/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.03/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.41 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.41 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.41 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.41 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.41 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.41 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 T, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.41 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.41 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.03/1.41 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.03/1.41 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.41 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.03/1.41 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 Y, T, X ), Z, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.41 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.41 X ), T, X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.41 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.03/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.03/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.03/1.41 ) ],
% 1.03/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.03/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 1.03/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.03/1.41 ) ],
% 1.03/1.41 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.03/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.03/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.03/1.41 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.41 [ 'c_HOL_Oord__class_Oless'( 'v_k', 'v_n', 'tc_nat' ) ],
% 1.03/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.03/1.41 'v_k', 'tc_nat' ) ],
% 1.03/1.41 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( 'v_k', 'tc_nat' ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.41 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.41 'c_RealDef_Oreal'( 'v_n', 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.03/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.03/1.41 ],
% 1.03/1.41 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.03/1.41 ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.03/1.41 ],
% 1.03/1.41 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.03/1.41 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.03/1.41 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.03/1.41 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.03/1.41 ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.03/1.41 ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.03/1.41 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.03/1.41 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.03/1.41 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.03/1.41 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.03/1.41 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.03/1.41 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 1.03/1.41 ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 1.03/1.41 ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 1.03/1.41 ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 1.03/1.41 ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 1.03/1.41 ],
% 1.03/1.41 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oring__1'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Int_Oring__char__0'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Int_Onumber'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.03/1.41 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.03/1.41 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.03/1.41 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.03/1.41 ],
% 1.03/1.41 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.03/1.41 ],
% 1.03/1.41 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.03/1.41 ],
% 1.03/1.41 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.41 ] .
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 percentage equality = 0.181038, percentage horn = 0.861993
% 1.03/1.41 This is a problem with some equality
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 Options Used:
% 1.03/1.41
% 1.03/1.41 useres = 1
% 1.03/1.41 useparamod = 1
% 1.03/1.41 useeqrefl = 1
% 1.03/1.41 useeqfact = 1
% 1.03/1.41 usefactor = 1
% 1.03/1.41 usesimpsplitting = 0
% 1.03/1.41 usesimpdemod = 5
% 1.03/1.41 usesimpres = 3
% 1.03/1.41
% 1.03/1.41 resimpinuse = 1000
% 1.03/1.41 resimpclauses = 20000
% 1.03/1.41 substype = eqrewr
% 1.03/1.41 backwardsubs = 1
% 1.03/1.41 selectoldest = 5
% 1.03/1.41
% 1.03/1.41 litorderings [0] = split
% 1.03/1.41 litorderings [1] = extend the termordering, first sorting on arguments
% 1.03/1.41
% 1.03/1.41 termordering = kbo
% 1.03/1.41
% 1.03/1.41 litapriori = 0
% 1.03/1.41 termapriori = 1
% 1.03/1.41 litaposteriori = 0
% 1.03/1.41 termaposteriori = 0
% 1.03/1.41 demodaposteriori = 0
% 1.03/1.41 ordereqreflfact = 0
% 1.03/1.41
% 1.03/1.41 litselect = negord
% 1.03/1.41
% 1.03/1.41 maxweight = 15
% 1.03/1.41 maxdepth = 30000
% 1.03/1.41 maxlength = 115
% 1.03/1.41 maxnrvars = 195
% 1.03/1.41 excuselevel = 1
% 1.03/1.41 increasemaxweight = 1
% 1.03/1.41
% 1.03/1.41 maxselected = 10000000
% 1.03/1.41 maxnrclauses = 10000000
% 1.03/1.41
% 1.03/1.41 showgenerated = 0
% 1.03/1.41 showkept = 0
% 1.03/1.41 showselected = 0
% 1.03/1.41 showdeleted = 0
% 1.03/1.41 showresimp = 1
% 1.03/1.41 showstatus = 2000
% 1.03/1.41
% 1.03/1.41 prologoutput = 1
% 1.03/1.41 nrgoals = 5000000
% 1.03/1.41 totalproof = 1
% 1.03/1.41
% 1.03/1.41 Symbols occurring in the translation:
% 1.03/1.41
% 1.03/1.41 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.03/1.41 . [1, 2] (w:1, o:131, a:1, s:1, b:0),
% 1.03/1.41 ! [4, 1] (w:0, o:56, a:1, s:1, b:0),
% 1.03/1.41 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.03/1.41 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.03/1.41 'class_OrderedGroup_Ogroup__add' [40, 1] (w:1, o:61, a:1, s:1, b:0),
% 1.03/1.41
% 1.03/1.41 'c_HOL_Ouminus__class_Ouminus' [43, 2] (w:1, o:156, a:1, s:1, b:0),
% 1.03/1.41 'c_HOL_Ominus__class_Ominus' [44, 3] (w:1, o:162, a:1, s:1, b:0),
% 1.03/1.41 'c_HOL_Oplus__class_Oplus' [45, 3] (w:1, o:164, a:1, s:1, b:0),
% 1.03/1.41 'tc_RealDef_Oreal' [47, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.03/1.41 'c_lessequals' [49, 3] (w:1, o:165, a:1, s:1, b:0),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero' [50, 1] (w:1, o:62, a:1, s:1, b:0),
% 1.03/1.41 'class_Lattices_Oboolean__algebra' [52, 1] (w:1, o:63, a:1, s:1, b:0)
% 1.03/1.41 ,
% 1.03/1.41 'class_OrderedGroup_Oab__group__add' [53, 1] (w:1, o:64, a:1, s:1, b:
% 1.03/1.41 0),
% 1.03/1.41 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [54, 1]
% 1.03/1.41 (w:1, o:66, a:1, s:1, b:0),
% 1.03/1.41 'c_HOL_Oord__class_Oless' [57, 3] (w:1, o:163, a:1, s:1, b:0),
% 1.03/1.41 'class_OrderedGroup_Opordered__ab__group__add' [58, 1] (w:1, o:67, a:
% 1.03/1.41 1, s:1, b:0),
% 1.03/1.41 'c_Transcendental_Otan' [59, 1] (w:1, o:73, a:1, s:1, b:0),
% 1.03/1.41 'c_Transcendental_Osin' [60, 1] (w:1, o:68, a:1, s:1, b:0),
% 1.03/1.41 'c_Transcendental_Ocos' [61, 1] (w:1, o:74, a:1, s:1, b:0),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes' [62, 3] (w:1, o:166, a:1, s:1, b:0),
% 2.33/2.70 'c_HOL_Oinverse__class_Odivide' [63, 3] (w:1, o:167, a:1, s:1, b:0),
% 2.33/2.70
% 2.33/2.70 'class_OrderedGroup_Oordered__ab__group__add' [64, 1] (w:1, o:65, a:1
% 2.33/2.70 , s:1, b:0),
% 2.33/2.70 'class_Ring__and__Field_Ozero__neq__one' [65, 1] (w:1, o:75, a:1, s:1
% 2.33/2.70 , b:0),
% 2.33/2.70 'c_HOL_Oone__class_Oone' [66, 1] (w:1, o:76, a:1, s:1, b:0),
% 2.33/2.70 'class_Ring__and__Field_Oring__1__no__zero__divisors' [67, 1] (w:1
% 2.33/2.70 , o:77, a:1, s:1, b:0),
% 2.33/2.70 'c_Power_Opower__class_Opower' [69, 3] (w:1, o:168, a:1, s:1, b:0),
% 2.33/2.70 'class_Ring__and__Field_Ono__zero__divisors' [70, 1] (w:1, o:81, a:1
% 2.33/2.70 , s:1, b:0),
% 2.33/2.70 'class_Ring__and__Field_Omult__zero' [71, 1] (w:1, o:78, a:1, s:1, b:
% 2.33/2.70 0),
% 2.33/2.70 'class_Power_Opower' [72, 1] (w:1, o:98, a:1, s:1, b:0),
% 2.33/2.70 'class_OrderedGroup_Olordered__ab__group__add' [73, 1] (w:1, o:82, a:
% 2.33/2.70 1, s:1, b:0),
% 2.33/2.70 'class_Ring__and__Field_Oidom' [74, 1] (w:1, o:99, a:1, s:1, b:0),
% 2.33/2.70 'class_Int_Onumber__ring' [75, 1] (w:1, o:100, a:1, s:1, b:0),
% 2.33/2.70 'class_OrderedGroup_Omonoid__add' [76, 1] (w:1, o:83, a:1, s:1, b:0)
% 2.33/2.70 ,
% 2.33/2.70 'class_OrderedGroup_Ocomm__monoid__add' [77, 1] (w:1, o:84, a:1, s:1
% 2.33/2.70 , b:0),
% 2.33/2.70 'class_Ring__and__Field_Ocomm__semiring__1' [78, 1] (w:1, o:102, a:1
% 2.33/2.70 , s:1, b:0),
% 2.33/2.70 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [79, 1]
% 2.33/2.70 (w:1, o:85, a:1, s:1, b:0),
% 2.33/2.70 'class_Ring__and__Field_Oordered__idom' [80, 1] (w:1, o:103, a:1, s:1
% 2.33/2.70 , b:0),
% 2.33/2.70 'tc_nat' [81, 0] (w:1, o:32, a:1, s:1, b:0),
% 2.33/2.70 'c_Parity_Oeven__odd__class_Oeven' [82, 2] (w:1, o:157, a:1, s:1, b:0
% 2.33/2.70 ),
% 2.33/2.70 'class_OrderedGroup_Opordered__comm__monoid__add' [83, 1] (w:1, o:86
% 2.33/2.70 , a:1, s:1, b:0),
% 2.33/2.70 'class_Ring__and__Field_Oordered__semidom' [84, 1] (w:1, o:105, a:1
% 2.33/2.70 , s:1, b:0),
% 2.33/2.70 'class_Orderings_Oorder' [85, 1] (w:1, o:87, a:1, s:1, b:0),
% 2.33/2.70 'class_Orderings_Opreorder' [86, 1] (w:1, o:88, a:1, s:1, b:0),
% 2.33/2.70 'class_Orderings_Olinorder' [87, 1] (w:1, o:89, a:1, s:1, b:0),
% 2.33/2.70 'c_NthRoot_Osqrt' [90, 1] (w:1, o:106, a:1, s:1, b:0),
% 2.33/2.70 'class_Ring__and__Field_Oordered__ring__strict' [92, 1] (w:1, o:104
% 2.33/2.70 , a:1, s:1, b:0),
% 2.33/2.70 'class_OrderedGroup_Omonoid__mult' [93, 1] (w:1, o:90, a:1, s:1, b:0)
% 2.33/2.70 ,
% 2.33/2.70 'class_RealVector_Oreal__normed__algebra' [94, 1] (w:1, o:107, a:1
% 2.33/2.70 , s:1, b:0),
% 2.33/2.70 'c_Transcendental_Opi' [96, 0] (w:1, o:34, a:1, s:1, b:0),
% 2.33/2.70 'c_Transcendental_Osko__Transcendental__Xtan__total__1__1' [97, 1]
% 2.33/2.70 (w:1, o:69, a:1, s:1, b:0),
% 2.33/2.70 'class_OrderedGroup_Oab__semigroup__add' [98, 1] (w:1, o:91, a:1, s:1
% 2.33/2.70 , b:0),
% 2.33/2.70 'c_Transcendental_Oarctan' [99, 1] (w:1, o:108, a:1, s:1, b:0),
% 2.33/2.70 'class_Ring__and__Field_Ofield' [100, 1] (w:1, o:109, a:1, s:1, b:0)
% 2.33/2.70 ,
% 2.33/2.70 'class_Ring__and__Field_Odivision__by__zero' [101, 1] (w:1, o:111, a:
% 2.33/2.70 1, s:1, b:0),
% 2.33/2.70 'class_Ring__and__Field_Oring' [102, 1] (w:1, o:112, a:1, s:1, b:0),
% 2.33/2.70
% 2.33/2.70 'class_Ring__and__Field_Opordered__ring' [104, 1] (w:1, o:117, a:1
% 2.33/2.70 , s:1, b:0),
% 2.33/2.70 'c_Transcendental_Osko__Transcendental__Xtan__total__pos__1__1' [105, 1
% 2.33/2.70 ] (w:1, o:70, a:1, s:1, b:0),
% 2.33/2.70 'class_OrderedGroup_Opordered__ab__semigroup__add' [107, 1] (w:1, o:
% 2.33/2.70 92, a:1, s:1, b:0),
% 2.33/2.70 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total1__1__1' [108, 1
% 2.33/2.70 ] (w:1, o:71, a:1, s:1, b:0),
% 2.33/2.70 'class_OrderedGroup_Ocancel__ab__semigroup__add' [111, 1] (w:1, o:93
% 2.33/2.70 , a:1, s:1, b:0),
% 2.33/2.70 'class_Ring__and__Field_Ocomm__semiring' [113, 1] (w:1, o:110, a:1
% 2.33/2.70 , s:1, b:0),
% 2.33/2.70 'class_OrderedGroup_Ocomm__monoid__mult' [117, 1] (w:1, o:94, a:1, s:
% 2.33/2.70 1, b:0),
% 2.33/2.70 'class_Ring__and__Field_Osemiring' [119, 1] (w:1, o:120, a:1, s:1, b:
% 2.33/2.70 0),
% 2.33/2.70 'class_Ring__and__Field_Oordered__field' [120, 1] (w:1, o:113, a:1
% 2.33/2.70 , s:1, b:0),
% 2.33/2.70 'c_Int_OBit1' [121, 1] (w:1, o:122, a:1, s:1, b:0),
% 2.33/2.70 'c_Int_Onumber__class_Onumber__of' [122, 2] (w:1, o:158, a:1, s:1, b:
% 2.33/2.70 0),
% 2.33/2.70 'class_RealVector_Oreal__field' [123, 1] (w:1, o:123, a:1, s:1, b:0)
% 2.33/2.70 ,
% 2.33/2.70 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total__1__1' [127, 1
% 2.33/2.70 ] (w:1, o:72, a:1, s:1, b:0),
% 2.33/2.70 'class_RealVector_Oreal__normed__field' [128, 1] (w:1, o:124, a:1, s:
% 18.86/19.22 1, b:0),
% 18.86/19.22 'c_Int_OPls' [131, 0] (w:1, o:46, a:1, s:1, b:0),
% 18.86/19.22 'c_Int_OBit0' [132, 1] (w:1, o:121, a:1, s:1, b:0),
% 18.86/19.22 'class_OrderedGroup_Ocancel__semigroup__add' [133, 1] (w:1, o:95, a:1
% 18.86/19.22 , s:1, b:0),
% 18.86/19.22 'class_Ring__and__Field_Ocomm__ring__1' [134, 1] (w:1, o:101, a:1, s:
% 18.86/19.22 1, b:0),
% 18.86/19.22 'class_Ring__and__Field_Oring__1' [136, 1] (w:1, o:118, a:1, s:1, b:0
% 18.86/19.22 ),
% 18.86/19.22 'c_RealDef_Oreal' [139, 2] (w:1, o:159, a:1, s:1, b:0),
% 18.86/19.22 'class_Ring__and__Field_Oordered__semiring__strict' [140, 1] (w:1, o:
% 18.86/19.22 114, a:1, s:1, b:0),
% 18.86/19.22 'class_Ring__and__Field_Oordered__semiring' [141, 1] (w:1, o:115, a:1
% 18.86/19.22 , s:1, b:0),
% 18.86/19.22 'class_Int_Onumber' [142, 1] (w:1, o:125, a:1, s:1, b:0),
% 18.86/19.22 'class_Ring__and__Field_Omult__mono1' [143, 1] (w:1, o:79, a:1, s:1
% 18.86/19.22 , b:0),
% 18.86/19.22 'class_Ring__and__Field_Omult__mono' [144, 1] (w:1, o:80, a:1, s:1
% 18.86/19.22 , b:0),
% 18.86/19.22 'class_Ring__and__Field_Opordered__cancel__semiring' [145, 1] (w:1
% 18.86/19.22 , o:126, a:1, s:1, b:0),
% 18.86/19.22 'class_Ring__and__Field_Opordered__semiring' [146, 1] (w:1, o:127, a:
% 18.86/19.22 1, s:1, b:0),
% 18.86/19.22 hAPP [149, 2] (w:1, o:160, a:1, s:1, b:0),
% 18.86/19.22 'c_RComplete_Osko__RComplete__Xreals__Archimedean3__1__1' [150, 2]
% 18.86/19.22 (w:1, o:161, a:1, s:1, b:0),
% 18.86/19.22 'c_FFT__Mirabelle_Oroot' [151, 1] (w:1, o:128, a:1, s:1, b:0),
% 18.86/19.22 'c_Complex_Ocis' [152, 1] (w:1, o:129, a:1, s:1, b:0),
% 18.86/19.22 'class_OrderedGroup_Oab__semigroup__mult' [160, 1] (w:1, o:96, a:1
% 18.86/19.22 , s:1, b:0),
% 18.86/19.22 'class_Ring__and__Field_Oring__no__zero__divisors' [161, 1] (w:1, o:
% 18.86/19.22 119, a:1, s:1, b:0),
% 18.86/19.22 'class_OrderedGroup_Oab__semigroup__idem__mult' [162, 1] (w:1, o:97
% 18.86/19.22 , a:1, s:1, b:0),
% 18.86/19.22 'class_Int_Oring__char__0' [163, 1] (w:1, o:130, a:1, s:1, b:0),
% 18.86/19.22 'class_Ring__and__Field_Oordered__comm__semiring__strict' [164, 1]
% 18.86/19.22 (w:1, o:116, a:1, s:1, b:0),
% 18.86/19.22 'v_k' [165, 0] (w:1, o:52, a:1, s:1, b:0),
% 18.86/19.22 'v_n' [166, 0] (w:1, o:53, a:1, s:1, b:0),
% 18.86/19.22 'tc_Int_Oint' [167, 0] (w:1, o:54, a:1, s:1, b:0),
% 18.86/19.22 'tc_Complex_Ocomplex' [168, 0] (w:1, o:55, a:1, s:1, b:0).
% 18.86/19.22
% 18.86/19.22
% 18.86/19.22 Starting Search:
% 18.86/19.22
% 18.86/19.22 Resimplifying inuse:
% 18.86/19.22 Done
% 18.86/19.22
% 18.86/19.22
% 18.86/19.22 Intermediate Status:
% 18.86/19.22 Generated: 3450
% 18.86/19.22 Kept: 2153
% 18.86/19.22 Inuse: 131
% 18.86/19.22 Deleted: 0
% 18.86/19.22 Deletedinuse: 0
% 18.86/19.22
% 18.86/19.22 Resimplifying inuse:
% 18.86/19.22 Done
% 18.86/19.22
% 18.86/19.22 Resimplifying inuse:
% 18.86/19.22 Done
% 18.86/19.22
% 18.86/19.22
% 18.86/19.22 Intermediate Status:
% 18.86/19.22 Generated: 6681
% 18.86/19.22 Kept: 4280
% 18.86/19.22 Inuse: 196
% 18.86/19.22 Deleted: 0
% 18.86/19.22 Deletedinuse: 0
% 18.86/19.22
% 18.86/19.22 Resimplifying inuse:
% 18.86/19.22 Done
% 18.86/19.22
% 18.86/19.22 Resimplifying inuse:
% 18.86/19.22 Done
% 18.86/19.22
% 18.86/19.22
% 18.86/19.22 Intermediate Status:
% 18.86/19.22 Generated: 9967
% 18.86/19.22 Kept: 6358
% 18.86/19.22 Inuse: 260
% 18.86/19.22 Deleted: 0
% 18.86/19.22 Deletedinuse: 0
% 18.86/19.22
% 18.86/19.22 Resimplifying inuse:
% 18.86/19.22 Done
% 18.86/19.22
% 18.86/19.22 Resimplifying inuse:
% 18.86/19.22 Done
% 18.86/19.22
% 18.86/19.22
% 18.86/19.22 Intermediate Status:
% 18.86/19.22 Generated: 15003
% 18.86/19.22 Kept: 9023
% 18.86/19.22 Inuse: 321
% 18.86/19.22 Deleted: 0
% 18.86/19.22 Deletedinuse: 0
% 18.86/19.22
% 18.86/19.22 Resimplifying inuse:
% 18.86/19.22 Done
% 18.86/19.22
% 18.86/19.22 Resimplifying inuse:
% 18.86/19.22 Done
% 18.86/19.22
% 18.86/19.22
% 18.86/19.22 Intermediate Status:
% 18.86/19.22 Generated: 19130
% 18.86/19.22 Kept: 11039
% 18.86/19.22 Inuse: 359
% 18.86/19.22 Deleted: 1
% 18.86/19.22 Deletedinuse: 0
% 18.86/19.22
% 18.86/19.22 Resimplifying inuse:
% 18.86/19.22 Done
% 18.86/19.22
% 18.86/19.22 Resimplifying inuse:
% 18.86/19.22 Done
% 18.86/19.22
% 18.86/19.22
% 18.86/19.22 Intermediate Status:
% 18.86/19.22 Generated: 23813
% 18.86/19.22 Kept: 13064
% 18.86/19.22 Inuse: 406
% 18.86/19.22 Deleted: 3
% 18.86/19.22 Deletedinuse: 0
% 18.86/19.22
% 18.86/19.22 Resimplifying inuse:
% 18.86/19.22 Done
% 18.86/19.22
% 18.86/19.22 Resimplifying inuse:
% 18.86/19.22 Done
% 18.86/19.22
% 18.86/19.22
% 18.86/19.22 Intermediate Status:
% 18.86/19.22 Generated: 28515
% 18.86/19.22 Kept: 15099
% 18.86/19.22 Inuse: 450
% 18.86/19.22 Deleted: 6
% 18.86/19.22 Deletedinuse: 0
% 18.86/19.22
% 18.86/19.22 Resimplifying inuse:
% 18.86/19.22 Done
% 18.86/19.22
% 18.86/19.22 Resimplifying inuse:
% 18.86/19.22 Done
% 18.86/19.22
% 18.86/19.22
% 18.86/19.22 Intermediate Status:
% 18.86/19.22 Generated: 38273
% 18.86/19.22 Kept: 17188
% 18.86/19.22 Inuse: 530
% 18.86/19.22 Deleted: 6
% 18.86/19.22 Deletedinuse: 0
% 18.86/19.22
% 18.86/19.22 Resimplifying inuse:
% 18.86/19.22 Done
% 18.86/19.22
% 18.86/19.22 Resimplifying inuse:
% 18.86/19.22 Done
% 18.86/19.22
% 18.86/19.22
% 18.86/19.22 Intermediate Status:
% 18.86/19.22 Generated: 46551
% 18.86/19.22 Kept: 19337
% 18.86/19.22 Inuse: 578
% 18.86/19.22 Deleted: 9
% 18.86/19.22 Deletedinuse: 1
% 18.86/19.22
% 18.86/19.22 Resimplifying inuse:
% 18.86/19.22 Done
% 18.86/19.22
% 18.86/19.22 Resimplifying clauses:
% 18.86/19.22 Done
% 18.86/19.22
% 18.86/19.22
% 18.86/19.22 Intermediate Status:
% 18.86/19.22 Generated: 57343
% 18.86/19.22 Kept: 22031
% 18.86/19.22 Inuse: 598
% 18.86/19.22 Deleted: 407
% 18.86/19.22 Deletedinuse: 1
% 18.86/19.22
% 18.86/19.22 Resimplifying inuse:
% 18.86/19.22 Done
% 18.86/19.22
% 18.86/19.22 Resimplifying inuse:
% 18.86/19.22 Done
% 18.86/19.22
% 18.86/19.22
% 18.86/19.22 Intermediate Status:
% 18.86/19.22 Generated: 68667
% 18.86/19.22 Kept: 25009
% 18.86/19.22 Inuse: 608
% 18.86/19.22 Deleted: 408
% 18.86/19.22 Deletedinuse: 2
% 18.86/19.22
% 18.86/19.22 Resimplifying inuse:
% 18.86/19.22 Done
% 18.86/19.22
% 18.86/19.22 Resimplifying inuse:
% 18.86/19.22 Done
% 18.86/19.22
% 18.86/19.22
% 18.86/19.22 Intermediate Status:
% 18.86/19.22 Generated: 80507
% 18.86/19.22 Kept: 27042
% 18.86/19.22 Inuse: 658
% 18.86/19.22 Deleted: 408
% 18.86/19.22 Deletedinuse: 2
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11
% 65.71/66.11 Intermediate Status:
% 65.71/66.11 Generated: 95440
% 65.71/66.11 Kept: 31061
% 65.71/66.11 Inuse: 703
% 65.71/66.11 Deleted: 408
% 65.71/66.11 Deletedinuse: 2
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11
% 65.71/66.11 Intermediate Status:
% 65.71/66.11 Generated: 103302
% 65.71/66.11 Kept: 33073
% 65.71/66.11 Inuse: 739
% 65.71/66.11 Deleted: 408
% 65.71/66.11 Deletedinuse: 2
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11
% 65.71/66.11 Intermediate Status:
% 65.71/66.11 Generated: 119954
% 65.71/66.11 Kept: 35250
% 65.71/66.11 Inuse: 778
% 65.71/66.11 Deleted: 409
% 65.71/66.11 Deletedinuse: 3
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11
% 65.71/66.11 Intermediate Status:
% 65.71/66.11 Generated: 129169
% 65.71/66.11 Kept: 37266
% 65.71/66.11 Inuse: 810
% 65.71/66.11 Deleted: 409
% 65.71/66.11 Deletedinuse: 3
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11
% 65.71/66.11 Intermediate Status:
% 65.71/66.11 Generated: 136380
% 65.71/66.11 Kept: 39279
% 65.71/66.11 Inuse: 832
% 65.71/66.11 Deleted: 409
% 65.71/66.11 Deletedinuse: 3
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11
% 65.71/66.11 Intermediate Status:
% 65.71/66.11 Generated: 156561
% 65.71/66.11 Kept: 41914
% 65.71/66.11 Inuse: 848
% 65.71/66.11 Deleted: 409
% 65.71/66.11 Deletedinuse: 3
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11 Resimplifying clauses:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11
% 65.71/66.11 Intermediate Status:
% 65.71/66.11 Generated: 166722
% 65.71/66.11 Kept: 43914
% 65.71/66.11 Inuse: 901
% 65.71/66.11 Deleted: 720
% 65.71/66.11 Deletedinuse: 3
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11
% 65.71/66.11 Intermediate Status:
% 65.71/66.11 Generated: 182296
% 65.71/66.11 Kept: 46136
% 65.71/66.11 Inuse: 913
% 65.71/66.11 Deleted: 720
% 65.71/66.11 Deletedinuse: 3
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11
% 65.71/66.11 Intermediate Status:
% 65.71/66.11 Generated: 196507
% 65.71/66.11 Kept: 48264
% 65.71/66.11 Inuse: 973
% 65.71/66.11 Deleted: 720
% 65.71/66.11 Deletedinuse: 3
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11
% 65.71/66.11 Intermediate Status:
% 65.71/66.11 Generated: 207645
% 65.71/66.11 Kept: 52241
% 65.71/66.11 Inuse: 1003
% 65.71/66.11 Deleted: 720
% 65.71/66.11 Deletedinuse: 3
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11
% 65.71/66.11 Intermediate Status:
% 65.71/66.11 Generated: 220890
% 65.71/66.11 Kept: 54317
% 65.71/66.11 Inuse: 1058
% 65.71/66.11 Deleted: 720
% 65.71/66.11 Deletedinuse: 3
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11
% 65.71/66.11 Intermediate Status:
% 65.71/66.11 Generated: 239645
% 65.71/66.11 Kept: 60935
% 65.71/66.11 Inuse: 1097
% 65.71/66.11 Deleted: 722
% 65.71/66.11 Deletedinuse: 4
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11 Resimplifying clauses:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11
% 65.71/66.11 Intermediate Status:
% 65.71/66.11 Generated: 249783
% 65.71/66.11 Kept: 62937
% 65.71/66.11 Inuse: 1126
% 65.71/66.11 Deleted: 1047
% 65.71/66.11 Deletedinuse: 4
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11
% 65.71/66.11 Intermediate Status:
% 65.71/66.11 Generated: 272525
% 65.71/66.11 Kept: 68563
% 65.71/66.11 Inuse: 1152
% 65.71/66.11 Deleted: 1047
% 65.71/66.11 Deletedinuse: 4
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11
% 65.71/66.11 Intermediate Status:
% 65.71/66.11 Generated: 287037
% 65.71/66.11 Kept: 71017
% 65.71/66.11 Inuse: 1171
% 65.71/66.11 Deleted: 1047
% 65.71/66.11 Deletedinuse: 4
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11
% 65.71/66.11 Intermediate Status:
% 65.71/66.11 Generated: 301668
% 65.71/66.11 Kept: 73028
% 65.71/66.11 Inuse: 1195
% 65.71/66.11 Deleted: 1047
% 65.71/66.11 Deletedinuse: 4
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11
% 65.71/66.11 Intermediate Status:
% 65.71/66.11 Generated: 311532
% 65.71/66.11 Kept: 75073
% 65.71/66.11 Inuse: 1211
% 65.71/66.11 Deleted: 1047
% 65.71/66.11 Deletedinuse: 4
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11
% 65.71/66.11 Intermediate Status:
% 65.71/66.11 Generated: 320290
% 65.71/66.11 Kept: 77174
% 65.71/66.11 Inuse: 1241
% 65.71/66.11 Deleted: 1047
% 65.71/66.11 Deletedinuse: 4
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11
% 65.71/66.11 Intermediate Status:
% 65.71/66.11 Generated: 328949
% 65.71/66.11 Kept: 79183
% 65.71/66.11 Inuse: 1274
% 65.71/66.11 Deleted: 1047
% 65.71/66.11 Deletedinuse: 4
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11
% 65.71/66.11 Intermediate Status:
% 65.71/66.11 Generated: 342208
% 65.71/66.11 Kept: 81874
% 65.71/66.11 Inuse: 1301
% 65.71/66.11 Deleted: 1047
% 65.71/66.11 Deletedinuse: 4
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11 Resimplifying clauses:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11
% 65.71/66.11 Intermediate Status:
% 65.71/66.11 Generated: 352733
% 65.71/66.11 Kept: 84055
% 65.71/66.11 Inuse: 1336
% 65.71/66.11 Deleted: 1275
% 65.71/66.11 Deletedinuse: 4
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11
% 65.71/66.11 Intermediate Status:
% 65.71/66.11 Generated: 364665
% 65.71/66.11 Kept: 86772
% 65.71/66.11 Inuse: 1346
% 65.71/66.11 Deleted: 1275
% 65.71/66.11 Deletedinuse: 4
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11
% 65.71/66.11 Intermediate Status:
% 65.71/66.11 Generated: 374413
% 65.71/66.11 Kept: 88786
% 65.71/66.11 Inuse: 1364
% 65.71/66.11 Deleted: 1275
% 65.71/66.11 Deletedinuse: 4
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 65.71/66.11 Done
% 65.71/66.11
% 65.71/66.11
% 65.71/66.11 Intermediate Status:
% 65.71/66.11 Generated: 384030
% 65.71/66.11 Kept: 90926
% 65.71/66.11 Inuse: 1396
% 65.71/66.11 Deleted: 1275
% 65.71/66.11 Deletedinuse: 4
% 65.71/66.11
% 65.71/66.11 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34
% 146.45/147.34 Intermediate Status:
% 146.45/147.34 Generated: 401589
% 146.45/147.34 Kept: 92993
% 146.45/147.34 Inuse: 1414
% 146.45/147.34 Deleted: 1277
% 146.45/147.34 Deletedinuse: 4
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34
% 146.45/147.34 Intermediate Status:
% 146.45/147.34 Generated: 417182
% 146.45/147.34 Kept: 97089
% 146.45/147.34 Inuse: 1416
% 146.45/147.34 Deleted: 1280
% 146.45/147.34 Deletedinuse: 5
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34
% 146.45/147.34 Intermediate Status:
% 146.45/147.34 Generated: 427367
% 146.45/147.34 Kept: 99270
% 146.45/147.34 Inuse: 1447
% 146.45/147.34 Deleted: 1280
% 146.45/147.34 Deletedinuse: 5
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34
% 146.45/147.34 Intermediate Status:
% 146.45/147.34 Generated: 436519
% 146.45/147.34 Kept: 101302
% 146.45/147.34 Inuse: 1472
% 146.45/147.34 Deleted: 1280
% 146.45/147.34 Deletedinuse: 5
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34 Resimplifying clauses:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34
% 146.45/147.34 Intermediate Status:
% 146.45/147.34 Generated: 448538
% 146.45/147.34 Kept: 103344
% 146.45/147.34 Inuse: 1507
% 146.45/147.34 Deleted: 1771
% 146.45/147.34 Deletedinuse: 5
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34
% 146.45/147.34 Intermediate Status:
% 146.45/147.34 Generated: 457894
% 146.45/147.34 Kept: 105429
% 146.45/147.34 Inuse: 1537
% 146.45/147.34 Deleted: 1771
% 146.45/147.34 Deletedinuse: 5
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34
% 146.45/147.34 Intermediate Status:
% 146.45/147.34 Generated: 467143
% 146.45/147.34 Kept: 107489
% 146.45/147.34 Inuse: 1567
% 146.45/147.34 Deleted: 1771
% 146.45/147.34 Deletedinuse: 5
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34
% 146.45/147.34 Intermediate Status:
% 146.45/147.34 Generated: 476307
% 146.45/147.34 Kept: 109492
% 146.45/147.34 Inuse: 1592
% 146.45/147.34 Deleted: 1771
% 146.45/147.34 Deletedinuse: 5
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34
% 146.45/147.34 Intermediate Status:
% 146.45/147.34 Generated: 486702
% 146.45/147.34 Kept: 111727
% 146.45/147.34 Inuse: 1612
% 146.45/147.34 Deleted: 1771
% 146.45/147.34 Deletedinuse: 5
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34
% 146.45/147.34 Intermediate Status:
% 146.45/147.34 Generated: 495934
% 146.45/147.34 Kept: 113878
% 146.45/147.34 Inuse: 1632
% 146.45/147.34 Deleted: 1771
% 146.45/147.34 Deletedinuse: 5
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34
% 146.45/147.34 Intermediate Status:
% 146.45/147.34 Generated: 505947
% 146.45/147.34 Kept: 116047
% 146.45/147.34 Inuse: 1652
% 146.45/147.34 Deleted: 1771
% 146.45/147.34 Deletedinuse: 5
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34
% 146.45/147.34 Intermediate Status:
% 146.45/147.34 Generated: 514292
% 146.45/147.34 Kept: 118115
% 146.45/147.34 Inuse: 1672
% 146.45/147.34 Deleted: 1771
% 146.45/147.34 Deletedinuse: 5
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34
% 146.45/147.34 Intermediate Status:
% 146.45/147.34 Generated: 525131
% 146.45/147.34 Kept: 120247
% 146.45/147.34 Inuse: 1682
% 146.45/147.34 Deleted: 1771
% 146.45/147.34 Deletedinuse: 5
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34
% 146.45/147.34 Intermediate Status:
% 146.45/147.34 Generated: 531914
% 146.45/147.34 Kept: 123555
% 146.45/147.34 Inuse: 1684
% 146.45/147.34 Deleted: 1771
% 146.45/147.34 Deletedinuse: 5
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34 Resimplifying clauses:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34
% 146.45/147.34 Intermediate Status:
% 146.45/147.34 Generated: 542331
% 146.45/147.34 Kept: 125575
% 146.45/147.34 Inuse: 1694
% 146.45/147.34 Deleted: 2039
% 146.45/147.34 Deletedinuse: 5
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34
% 146.45/147.34 Intermediate Status:
% 146.45/147.34 Generated: 553470
% 146.45/147.34 Kept: 127768
% 146.45/147.34 Inuse: 1717
% 146.45/147.34 Deleted: 2039
% 146.45/147.34 Deletedinuse: 5
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34
% 146.45/147.34 Intermediate Status:
% 146.45/147.34 Generated: 564255
% 146.45/147.34 Kept: 129785
% 146.45/147.34 Inuse: 1740
% 146.45/147.34 Deleted: 2039
% 146.45/147.34 Deletedinuse: 5
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34
% 146.45/147.34 Intermediate Status:
% 146.45/147.34 Generated: 575193
% 146.45/147.34 Kept: 131865
% 146.45/147.34 Inuse: 1757
% 146.45/147.34 Deleted: 2039
% 146.45/147.34 Deletedinuse: 5
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34
% 146.45/147.34 Intermediate Status:
% 146.45/147.34 Generated: 601825
% 146.45/147.34 Kept: 135342
% 146.45/147.34 Inuse: 1767
% 146.45/147.34 Deleted: 2039
% 146.45/147.34 Deletedinuse: 5
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34
% 146.45/147.34 Intermediate Status:
% 146.45/147.34 Generated: 645132
% 146.45/147.34 Kept: 140040
% 146.45/147.34 Inuse: 1782
% 146.45/147.34 Deleted: 2039
% 146.45/147.34 Deletedinuse: 5
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34
% 146.45/147.34 Intermediate Status:
% 146.45/147.34 Generated: 658604
% 146.45/147.34 Kept: 142396
% 146.45/147.34 Inuse: 1807
% 146.45/147.34 Deleted: 2039
% 146.45/147.34 Deletedinuse: 5
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34
% 146.45/147.34 Intermediate Status:
% 146.45/147.34 Generated: 673989
% 146.45/147.34 Kept: 144875
% 146.45/147.34 Inuse: 1822
% 146.45/147.34 Deleted: 2039
% 146.45/147.34 Deletedinuse: 5
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34 Resimplifying clauses:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34
% 146.45/147.34 Intermediate Status:
% 146.45/147.34 Generated: 687521
% 146.45/147.34 Kept: 147170
% 146.45/147.34 Inuse: 1832
% 146.45/147.34 Deleted: 2740
% 146.45/147.34 Deletedinuse: 5
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34
% 146.45/147.34 Intermediate Status:
% 146.45/147.34 Generated: 700745
% 146.45/147.34 Kept: 149231
% 146.45/147.34 Inuse: 1857
% 146.45/147.34 Deleted: 2740
% 146.45/147.34 Deletedinuse: 5
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34 Resimplifying inuse:
% 146.45/147.34 Done
% 146.45/147.34
% 146.45/147.34
% 146.45/147.34 Intermediate Status:
% 214.62/215.50 Generated: 717179
% 214.62/215.50 Kept: 151520
% 214.62/215.50 Inuse: 1877
% 214.62/215.50 Deleted: 2740
% 214.62/215.50 Deletedinuse: 5
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50
% 214.62/215.50 Intermediate Status:
% 214.62/215.50 Generated: 728139
% 214.62/215.50 Kept: 153616
% 214.62/215.50 Inuse: 1892
% 214.62/215.50 Deleted: 2740
% 214.62/215.50 Deletedinuse: 5
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50
% 214.62/215.50 Intermediate Status:
% 214.62/215.50 Generated: 735869
% 214.62/215.50 Kept: 157097
% 214.62/215.50 Inuse: 1893
% 214.62/215.50 Deleted: 2740
% 214.62/215.50 Deletedinuse: 5
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50
% 214.62/215.50 Intermediate Status:
% 214.62/215.50 Generated: 746247
% 214.62/215.50 Kept: 159528
% 214.62/215.50 Inuse: 1912
% 214.62/215.50 Deleted: 2740
% 214.62/215.50 Deletedinuse: 5
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50
% 214.62/215.50 Intermediate Status:
% 214.62/215.50 Generated: 756040
% 214.62/215.50 Kept: 161548
% 214.62/215.50 Inuse: 1930
% 214.62/215.50 Deleted: 2740
% 214.62/215.50 Deletedinuse: 5
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50
% 214.62/215.50 Intermediate Status:
% 214.62/215.50 Generated: 765495
% 214.62/215.50 Kept: 163736
% 214.62/215.50 Inuse: 1947
% 214.62/215.50 Deleted: 2740
% 214.62/215.50 Deletedinuse: 5
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50 Resimplifying clauses:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50
% 214.62/215.50 Intermediate Status:
% 214.62/215.50 Generated: 775080
% 214.62/215.50 Kept: 165744
% 214.62/215.50 Inuse: 1963
% 214.62/215.50 Deleted: 3745
% 214.62/215.50 Deletedinuse: 5
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50
% 214.62/215.50 Intermediate Status:
% 214.62/215.50 Generated: 784755
% 214.62/215.50 Kept: 167755
% 214.62/215.50 Inuse: 1979
% 214.62/215.50 Deleted: 3745
% 214.62/215.50 Deletedinuse: 5
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50
% 214.62/215.50 Intermediate Status:
% 214.62/215.50 Generated: 795038
% 214.62/215.50 Kept: 169768
% 214.62/215.50 Inuse: 2004
% 214.62/215.50 Deleted: 3745
% 214.62/215.50 Deletedinuse: 5
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50
% 214.62/215.50 Intermediate Status:
% 214.62/215.50 Generated: 804970
% 214.62/215.50 Kept: 171776
% 214.62/215.50 Inuse: 2023
% 214.62/215.50 Deleted: 3745
% 214.62/215.50 Deletedinuse: 5
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50
% 214.62/215.50 Intermediate Status:
% 214.62/215.50 Generated: 816263
% 214.62/215.50 Kept: 174088
% 214.62/215.50 Inuse: 2042
% 214.62/215.50 Deleted: 3745
% 214.62/215.50 Deletedinuse: 5
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50
% 214.62/215.50 Intermediate Status:
% 214.62/215.50 Generated: 860899
% 214.62/215.50 Kept: 178588
% 214.62/215.50 Inuse: 2057
% 214.62/215.50 Deleted: 3745
% 214.62/215.50 Deletedinuse: 5
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50
% 214.62/215.50 Intermediate Status:
% 214.62/215.50 Generated: 873797
% 214.62/215.50 Kept: 180613
% 214.62/215.50 Inuse: 2065
% 214.62/215.50 Deleted: 3745
% 214.62/215.50 Deletedinuse: 5
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50
% 214.62/215.50 Intermediate Status:
% 214.62/215.50 Generated: 887463
% 214.62/215.50 Kept: 183044
% 214.62/215.50 Inuse: 2072
% 214.62/215.50 Deleted: 3745
% 214.62/215.50 Deletedinuse: 5
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50
% 214.62/215.50 Intermediate Status:
% 214.62/215.50 Generated: 899784
% 214.62/215.50 Kept: 185046
% 214.62/215.50 Inuse: 2095
% 214.62/215.50 Deleted: 3745
% 214.62/215.50 Deletedinuse: 5
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50 Resimplifying clauses:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50
% 214.62/215.50 Intermediate Status:
% 214.62/215.50 Generated: 912129
% 214.62/215.50 Kept: 187494
% 214.62/215.50 Inuse: 2112
% 214.62/215.50 Deleted: 4329
% 214.62/215.50 Deletedinuse: 8
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50
% 214.62/215.50 Intermediate Status:
% 214.62/215.50 Generated: 928661
% 214.62/215.50 Kept: 189777
% 214.62/215.50 Inuse: 2126
% 214.62/215.50 Deleted: 4332
% 214.62/215.50 Deletedinuse: 10
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50
% 214.62/215.50 Intermediate Status:
% 214.62/215.50 Generated: 940022
% 214.62/215.50 Kept: 191779
% 214.62/215.50 Inuse: 2145
% 214.62/215.50 Deleted: 4333
% 214.62/215.50 Deletedinuse: 10
% 214.62/215.50
% 214.62/215.50
% 214.62/215.50 Intermediate Status:
% 214.62/215.50 Generated: 949583
% 214.62/215.50 Kept: 195036
% 214.62/215.50 Inuse: 2148
% 214.62/215.50 Deleted: 4333
% 214.62/215.50 Deletedinuse: 10
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50
% 214.62/215.50 Intermediate Status:
% 214.62/215.50 Generated: 958674
% 214.62/215.50 Kept: 197215
% 214.62/215.50 Inuse: 2170
% 214.62/215.50 Deleted: 4333
% 214.62/215.50 Deletedinuse: 10
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50
% 214.62/215.50 Intermediate Status:
% 214.62/215.50 Generated: 971397
% 214.62/215.50 Kept: 199596
% 214.62/215.50 Inuse: 2190
% 214.62/215.50 Deleted: 4333
% 214.62/215.50 Deletedinuse: 10
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50
% 214.62/215.50 Intermediate Status:
% 214.62/215.50 Generated: 984055
% 214.62/215.50 Kept: 201971
% 214.62/215.50 Inuse: 2195
% 214.62/215.50 Deleted: 4333
% 214.62/215.50 Deletedinuse: 10
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50
% 214.62/215.50 Intermediate Status:
% 214.62/215.50 Generated: 997571
% 214.62/215.50 Kept: 203996
% 214.62/215.50 Inuse: 2202
% 214.62/215.50 Deleted: 4339
% 214.62/215.50 Deletedinuse: 16
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50
% 214.62/215.50 Intermediate Status:
% 214.62/215.50 Generated: 1010107
% 214.62/215.50 Kept: 206444
% 214.62/215.50 Inuse: 2220
% 214.62/215.50 Deleted: 4339
% 214.62/215.50 Deletedinuse: 16
% 214.62/215.50
% 214.62/215.50 Resimplifying inuse:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50 Resimplifying clauses:
% 214.62/215.50 Done
% 214.62/215.50
% 214.62/215.50
% 214.62/215.50 Intermediate Status:
% 214.62/215.50 Generated: 1047697
% 214.62/215.50 Kept: 211596
% 214.62/215.50 Inuse: 2225
% 214.62/215.50 Deleted: 5956
% 214.62/215.50 Deletedinuse: 16
% 214.62/215.50
% 214.62/215.50 RCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------