TSTP Solution File: SWV630-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV630-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 16:27:16 EDT 2022
% Result : Timeout 300.09s 300.52s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV630-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Tue Jun 14 19:23:54 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.02/1.43 *** allocated 10000 integers for termspace/termends
% 1.02/1.43 *** allocated 10000 integers for clauses
% 1.02/1.43 *** allocated 10000 integers for justifications
% 1.02/1.43 *** allocated 15000 integers for termspace/termends
% 1.02/1.43 *** allocated 22500 integers for termspace/termends
% 1.02/1.43 *** allocated 33750 integers for termspace/termends
% 1.02/1.43 Bliksem 1.12
% 1.02/1.43
% 1.02/1.43
% 1.02/1.43 Automatic Strategy Selection
% 1.02/1.43
% 1.02/1.43 Clauses:
% 1.02/1.43 [
% 1.02/1.43 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Int_OBit1'( X ), 'tc_Int_Oint' )
% 1.02/1.43 , 'c_Int_OBit1'( 'c_Int_Opred'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.02/1.43 'tc_Int_Oint' ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.43 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 1.02/1.43 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.02/1.43 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.43 , Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.43 , T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.43 , Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.43 , T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.43 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.02/1.43 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.02/1.43 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.43 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.43 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_Int_Oint' ), X ) ],
% 1.02/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.02/1.43 'tc_Int_Oint' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.02/1.43 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.02/1.43 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.02/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.02/1.43 Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.43 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.43 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.02/1.43 [ 'c_lessequals'( X, Y, 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_Int_Opred'( X ), Y, 'tc_Int_Oint' ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_Int_Opred'( X ), Y, 'tc_Int_Oint' ), ~(
% 1.02/1.43 'c_lessequals'( X, Y, 'tc_Int_Oint' ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.02/1.43 , X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 Z, Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), X ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'(
% 1.02/1.43 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, 'c_Transcendental_Opi',
% 1.02/1.43 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ),
% 1.02/1.43 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.43 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 1.02/1.43 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.02/1.43 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.43 Y, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ),
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.02/1.43 , T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.02/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.02/1.43 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.02/1.43 , X ), W, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.02/1.43 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.02/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.02/1.43 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.02/1.43 , X ), T, X ), W, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.02/1.43 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.02/1.43 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.43 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.02/1.43 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.43 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.02/1.43 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 1.02/1.43 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ) ) ),
% 1.02/1.43 =( Y, Z ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.02/1.43 , X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.02/1.43 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.02/1.43 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.02/1.43 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.43 ), X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.43 ), X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.43 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.02/1.43 ), X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.02/1.43 ), X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.02/1.43 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ) )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.02/1.43 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.02/1.43 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.43 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.02/1.43 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.02/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.02/1.43 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.02/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.02/1.43 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.02/1.43 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.43 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.43 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_Opred'( Y ), X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.02/1.43 , X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 1.02/1.43 ), Y ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.02/1.43 ), X ), Y ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.02/1.43 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.43 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.43 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.02/1.43 , 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.43 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.02/1.43 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.43 , Y, X ) ) ],
% 1.02/1.43 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.43 , Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.43 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.02/1.43 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.43 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.43 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.02/1.43 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.43 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.02/1.43 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.43 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.02/1.43 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.02/1.43 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.02/1.43 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.02/1.43 ],
% 1.02/1.43 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.02/1.43 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.02/1.43 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.43 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.02/1.43 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.02/1.43 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.02/1.43 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.43 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.02/1.43 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.02/1.43 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.02/1.43 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.02/1.43 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.02/1.43 ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.43 ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.02/1.43 ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.43 ), X ) ) ],
% 1.02/1.43 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.43 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.43 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.43 [ =( 'c_Transcendental_Osin'( 'c_Transcendental_Opi' ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.02/1.43 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.02/1.43 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.02/1.43 , T, X ) ) ), =( Z, T ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.02/1.43 , T, X ) ) ), =( Y, Z ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.02/1.43 X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z
% 1.02/1.43 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.02/1.43 , T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.43 X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.43 , T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber__ring'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~( 'c_lessequals'( Y, Z
% 1.02/1.43 , 'tc_Int_Oint' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber__ring'( X ) ), 'c_lessequals'( Y, Z, 'tc_Int_Oint' ),
% 1.02/1.43 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.02/1.43 [ 'c_lessequals'( X, Y, 'tc_Int_Oint' ), ~( 'c_lessequals'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( X, 'tc_Int_Oint' ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_Int_Oint' ), 'tc_Int_Oint' ) )
% 1.02/1.43 ],
% 1.02/1.43 [ 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_Int_Oint' )
% 1.02/1.43 , 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_Int_Oint' ), 'tc_Int_Oint' )
% 1.02/1.43 , ~( 'c_lessequals'( X, Y, 'tc_Int_Oint' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.43 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.43 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.02/1.43 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.02/1.43 , X ) ) ), =( Y, Z ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.02/1.43 , X ) ) ), =( Y, Z ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.43 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.02/1.43 Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.02/1.43 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.02/1.43 , Y, X ) ) ],
% 1.02/1.43 [ ~( =( 'c_Complex_Oii', 'c_Int_Onumber__class_Onumber__of'( X,
% 1.02/1.43 'tc_Complex_Ocomplex' ) ) ) ],
% 1.02/1.43 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.43 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.02/1.43 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.43 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.02/1.43 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), =( Y, X ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, X, 'tc_Int_Oint' ) ],
% 1.02/1.43 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_Int_Oint' ) ), ~(
% 1.02/1.43 'c_lessequals'( X, Y, 'tc_Int_Oint' ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.02/1.43 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.43 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.02/1.43 ), =( Z, Y ) ],
% 1.02/1.43 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.02/1.43 , 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.43 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.02/1.43 X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.43 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.43 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.02/1.43 X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.43 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.02/1.43 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.02/1.43 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.43 , Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.02/1.43 X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.43 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.43 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.02/1.43 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.43 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.02/1.43 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.43 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.02/1.43 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.43 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.02/1.43 ), X ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.43 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.02/1.43 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.02/1.43 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.43 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.43 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.43 ), X ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.02/1.43 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.02/1.43 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.02/1.43 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.43 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.02/1.43 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 1.02/1.43 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.43 ) ],
% 1.02/1.43 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.02/1.43 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.43 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.43 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.02/1.43 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 1.02/1.43 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 1.02/1.43 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.02/1.43 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.02/1.43 , Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.02/1.43 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.43 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.02/1.43 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.43 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.02/1.43 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.43 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.02/1.43 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.43 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.43 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.43 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.43 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.02/1.43 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.02/1.43 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.02/1.43 'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.02/1.43 , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =(
% 1.02/1.43 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.02/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.02/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.02/1.43 X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.02/1.43 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.02/1.43 Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.02/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.02/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.02/1.43 Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.02/1.43 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.02/1.43 X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.02/1.43 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.02/1.43 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 X ), T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.02/1.43 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.02/1.43 'c_RealVector_Oof__real'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.43 'tc_RealDef_Oreal' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.43 , Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.02/1.43 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.43 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 X ), T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.02/1.43 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.43 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.02/1.43 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 1.02/1.43 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.02/1.43 ) ],
% 1.02/1.43 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.02/1.43 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 1.02/1.43 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.43 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 Y, Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.02/1.43 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.43 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.02/1.43 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.02/1.43 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.02/1.43 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.02/1.43 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.02/1.43 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.02/1.43 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.43 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.02/1.43 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.43 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.02/1.43 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.02/1.43 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.02/1.43 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.02/1.43 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.02/1.43 , U, X ), X ) ) ],
% 1.02/1.43 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'(
% 1.02/1.43 X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.02/1.43 ],
% 1.02/1.43 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__field'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_Oof__real'( Y, X ),
% 1.02/1.43 'c_RealVector_Oof__real'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.02/1.43 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.02/1.43 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.02/1.43 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.43 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.02/1.43 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 T, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.43 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( X,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ 'c_lessequals'( X, 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.43 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.43 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.43 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_Osucc'( Y ), X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.02/1.43 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.43 ), X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.43 , X ), X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.43 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.02/1.43 ), X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.43 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.02/1.43 , X ), X ), Z, X ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 1.02/1.43 , 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 1.02/1.43 Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.02/1.43 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 Y, T, X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.43 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 X ), T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.43 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.43 ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.02/1.43 ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.43 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.02/1.43 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.02/1.43 ), Y ) ],
% 1.02/1.43 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.43 X, 'tc_Int_Oint' ), 'tc_Int_Oint' ), 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_Int_Oint' ), 'tc_Int_Oint' ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.02/1.43 'tc_Int_Oint' ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.02/1.43 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.02/1.43 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.02/1.43 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.02/1.43 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.02/1.43 ), Y ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.02/1.43 ), Y ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.02/1.43 ), Y ) ],
% 1.02/1.43 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.02/1.43 'tc_Int_Oint' ), 'tc_Int_Oint' ), X ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.02/1.43 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.02/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.02/1.43 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.02/1.43 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.43 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 , X ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Z,
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ), X ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.02/1.43 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.02/1.43 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.02/1.43 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.02/1.43 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.02/1.43 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.02/1.43 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.02/1.43 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.43 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 1.02/1.43 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), =( X, Y ), ~(
% 1.02/1.43 'c_lessequals'( X, Y, 'tc_Int_Oint' ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.43 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.43 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.02/1.43 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.43 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.43 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.02/1.43 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.02/1.43 Y, X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.43 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.02/1.43 Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.43 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.43 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.43 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.02/1.43 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.02/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.43 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.02/1.43 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.43 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.02/1.43 ), X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.02/1.43 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.43 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.43 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.43 ), X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.02/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.02/1.43 T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.02/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.02/1.43 X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.02/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.02/1.43 T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.02/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.43 X ), T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.02/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.43 T, X ), X ) ) ],
% 1.02/1.43 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.02/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.43 X ), T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.02/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.02/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.02/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.02/1.43 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.02/1.43 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.43 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.43 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 Y, X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.02/1.43 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 X ), T, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.02/1.43 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.43 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.02/1.43 , X ), X ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 X ) ) ],
% 1.02/1.43 [ =( 'c_Int_Osucc'( 'c_Int_Opred'( X ) ), X ) ],
% 1.02/1.43 [ ~( 'class_HOL_Oeq'( X ) ), 'c_HOL_Oeq__class_Oeq'( Y, Y, X ) ],
% 1.02/1.43 [ 'c_HOL_Oeq__class_Oeq'( X, X, 'tc_Int_Oint' ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.02/1.43 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.43 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.02/1.43 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.43 X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.02/1.43 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.43 X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.02/1.43 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.43 X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.02/1.43 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.43 X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 Y, Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 Y, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.02/1.43 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.02/1.43 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.02/1.43 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.43 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.02/1.43 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.02/1.43 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.43 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.02/1.43 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.02/1.43 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.43 [ =( 'c_FFT__Mirabelle_Oroot'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ),
% 1.02/1.43 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.02/1.43 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.43 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.02/1.43 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.02/1.43 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.02/1.43 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.43 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.43 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 Y, T, X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.43 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 Y, T, X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.02/1.43 'c_RealVector_Oof__real'( 'c_Power_Opower__class_Opower'( Y, Z,
% 1.02/1.43 'tc_RealDef_Oreal' ), X ), 'c_Power_Opower__class_Opower'(
% 1.02/1.43 'c_RealVector_Oof__real'( Y, X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.02/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.02/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 1.02/1.43 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.02/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.02/1.43 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.02/1.43 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.02/1.43 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.02/1.43 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.02/1.43 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.02/1.43 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.02/1.43 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( X, 'c_Transcendental_Ocos'( Y ),
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.02/1.43 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( X,
% 1.02/1.43 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.43 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.02/1.43 , 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'c_Int_Oiszero'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Int_Oiszero'( Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.02/1.43 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.02/1.43 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.02/1.43 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.43 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.43 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.02/1.43 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.02/1.43 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.02/1.43 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 ) ), =( Y, Z ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 ) ), =( Y, Z ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.02/1.43 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.02/1.43 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.43 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.43 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.02/1.43 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.02/1.43 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.02/1.43 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.02/1.43 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.02/1.43 , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.43 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.43 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.43 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.02/1.43 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.02/1.43 , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.02/1.43 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.02/1.43 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.43 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.02/1.43 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.02/1.43 , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.02/1.43 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.43 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.02/1.43 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.02/1.43 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.02/1.43 X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.02/1.43 , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.02/1.43 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.02/1.43 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.02/1.43 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.02/1.43 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.43 Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.02/1.43 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.02/1.43 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.43 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.02/1.43 ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 1.02/1.43 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.02/1.43 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y,
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( Y ), X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.02/1.43 , X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.02/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.02/1.43 'tc_Int_Oint' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_Int_OBit1'( 'c_Int_OPls' ), 'tc_Int_Oint' ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber__ring'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.02/1.43 , X ), ~( 'c_lessequals'( Y, 'c_Int_OBit1'( 'c_Int_OPls' ), 'tc_Int_Oint'
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber__ring'( X ) ), 'c_lessequals'( Y, 'c_Int_OBit1'(
% 1.02/1.43 'c_Int_OPls' ), 'tc_Int_Oint' ), ~( 'c_lessequals'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.02/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( 'c_Int_OPls' ), Y,
% 1.02/1.43 'tc_Int_Oint' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_Int_OBit1'( 'c_Int_OPls' ), Y, 'tc_Int_Oint' ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber__ring'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.02/1.43 , X ), ~( 'c_lessequals'( 'c_Int_OBit1'( 'c_Int_OPls' ), Y, 'tc_Int_Oint'
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber__ring'( X ) ), 'c_lessequals'( 'c_Int_OBit1'(
% 1.02/1.43 'c_Int_OPls' ), Y, 'tc_Int_Oint' ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ 'c_HOL_Oeq__class_Oeq'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.02/1.43 'tc_Int_Oint' ), ~( 'c_HOL_Oeq__class_Oeq'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.02/1.43 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.43 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 1.02/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 1.02/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.43 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.43 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 1.02/1.43 X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_Int_Oint' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 1.02/1.43 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( X,
% 1.02/1.43 'tc_Int_Oint' ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_Int_Oint' ),
% 1.02/1.43 'tc_Int_Oint' ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( X,
% 1.02/1.43 'tc_Int_Oint' ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_Int_Oint' ),
% 1.02/1.43 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.43 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.43 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.02/1.43 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.43 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.02/1.43 ) ],
% 1.02/1.43 [ =( 'c_FFT__Mirabelle_Oroot'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.02/1.43 , 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.02/1.43 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.02/1.43 X ) ) ), =( Z, T ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.02/1.43 X ) ) ), =( Z, T ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.02/1.43 X ) ) ), =( Y, T ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.02/1.43 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 1.02/1.43 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ),
% 1.02/1.43 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.02/1.43 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.02/1.43 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, T, X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.43 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.02/1.43 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.43 ), X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.43 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.43 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.43 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.02/1.43 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.43 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.43 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.43 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.02/1.43 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.02/1.43 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 1.02/1.43 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.43 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.02/1.43 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_RealVector_Oreal__field'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_Oof__real'( Y, X ),
% 1.02/1.43 'c_RealVector_Oof__real'( Z, X ), X ) ) ],
% 1.02/1.43 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 1.02/1.43 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.43 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.02/1.43 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.02/1.43 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.02/1.44 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.02/1.44 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.44 ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.44 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.44 ) ],
% 1.02/1.44 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.44 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.44 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.44 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.02/1.44 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.02/1.44 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.02/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.44 ), X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.44 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.44 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.02/1.44 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.02/1.44 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.44 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.44 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.02/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.02/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.02/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.44 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.02/1.44 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.02/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.02/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.02/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.02/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44 [ 'c_HOL_Oeq__class_Oeq'( X, Y, 'tc_Int_Oint' ), ~(
% 1.02/1.44 'c_HOL_Oeq__class_Oeq'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ), 'tc_Int_Oint'
% 1.02/1.44 ), ~( 'c_lessequals'( X, Y, 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_lessequals'( X, Y, 'tc_Int_Oint' ), ~( 'c_lessequals'(
% 1.02/1.44 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ), 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ), 'tc_Int_Oint'
% 1.02/1.44 ), ~( 'c_lessequals'( X, Y, 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_lessequals'( X, Y, 'tc_Int_Oint' ), ~( 'c_lessequals'(
% 1.02/1.44 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ), 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.02/1.44 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.02/1.44 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OBit1'( X ),
% 1.02/1.44 'tc_Int_Oint' ), ~( 'c_lessequals'( 'c_Int_OPls', X, 'tc_Int_Oint' ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'c_lessequals'( 'c_Int_OPls', X, 'tc_Int_Oint' ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OBit1'( X ),
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_Int_OBit1'( X ), 'c_Int_OPls', 'tc_Int_Oint' ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ), ~(
% 1.02/1.44 'c_lessequals'( 'c_Int_OBit1'( X ), 'c_Int_OPls', 'tc_Int_Oint' ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Int_OPls', 'tc_Int_Oint' ),
% 1.02/1.44 'c_Int_OPls' ) ],
% 1.02/1.44 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OPls',
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oeq__class_Oeq'( 'c_Int_OPls', 'c_Int_OPls', 'tc_Int_Oint' ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'c_lessequals'( 'c_Int_OPls', 'c_Int_OPls', 'tc_Int_Oint' ) ],
% 1.02/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Int_OPls', 'tc_Int_Oint' ), X )
% 1.02/1.44 ],
% 1.02/1.44 [ 'c_lessequals'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ), 'tc_Int_Oint'
% 1.02/1.44 ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~( 'c_lessequals'(
% 1.02/1.44 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ), 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ), 'tc_Int_Oint'
% 1.02/1.44 ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~( 'c_lessequals'(
% 1.02/1.44 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ), 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ),
% 1.02/1.44 'tc_Int_Oint' ), ~( 'c_lessequals'( X, Y, 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_lessequals'( X, Y, 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ), 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ),
% 1.02/1.44 'tc_Int_Oint' ), ~( 'c_lessequals'( X, Y, 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_lessequals'( X, Y, 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ), 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y
% 1.02/1.44 ), 'tc_Int_Oint' ), 'c_Int_OBit1'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.44 'c_Int_Opred'( X ), Y, 'tc_Int_Oint' ) ) ) ],
% 1.02/1.44 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Int_OBit0'( X ), 'tc_Int_Oint' )
% 1.02/1.44 , 'c_Int_OBit0'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_Int_Oint' ) ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'c_lessequals'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ), 'tc_Int_Oint'
% 1.02/1.44 ), ~( 'c_lessequals'( X, Y, 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_lessequals'( X, Y, 'tc_Int_Oint' ), ~( 'c_lessequals'(
% 1.02/1.44 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ), 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ), 'tc_Int_Oint'
% 1.02/1.44 ), ~( 'c_lessequals'( X, Y, 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_lessequals'( X, Y, 'tc_Int_Oint' ), ~( 'c_lessequals'(
% 1.02/1.44 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ), 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.02/1.44 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.02/1.44 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y
% 1.02/1.44 ), 'tc_Int_Oint' ), 'c_Int_OBit0'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.02/1.44 'tc_Int_Oint' ) ) ) ],
% 1.02/1.44 [ 'c_HOL_Oeq__class_Oeq'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.02/1.44 'tc_Int_Oint' ), ~( 'c_HOL_Oeq__class_Oeq'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'c_HOL_Oeq__class_Oeq'( X, Y, 'tc_Int_Oint' ), ~(
% 1.02/1.44 'c_HOL_Oeq__class_Oeq'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_lessequals'( X, 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( X,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.02/1.44 ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'c_lessequals'( X, 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.02/1.44 ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.02/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.02/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'( 'c_NthRoot_Osqrt'(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( X,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'c_NthRoot_Osqrt'(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_Power_Opower__class_Opower'( T, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ =( 'c_Power_Opower__class_Opower'( 'c_NthRoot_Osqrt'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.02/1.44 , 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Z,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_Power_Opower__class_Opower'( T, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.02/1.44 , 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Z,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_Power_Opower__class_Opower'( T, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( X,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( T,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.02/1.44 , 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 1.02/1.44 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 1.02/1.44 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( =( 'c_Transcendental_Opi', 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ) ) ) ],
% 1.02/1.44 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.02/1.44 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.02/1.44 ) ],
% 1.02/1.44 [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_lessequals'( X,
% 1.02/1.44 'c_Int_OPls', 'tc_Int_Oint' ) ],
% 1.02/1.44 [ =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 1.02/1.44 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ) ), 'c_lessequals'( X
% 1.02/1.44 , 'c_Int_OPls', 'tc_Int_Oint' ) ],
% 1.02/1.44 [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 1.02/1.44 , 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( X,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), Z, 'tc_RealDef_Oreal' ),
% 1.02/1.44 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 1.02/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.44 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.02/1.44 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.44 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.44 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.02/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.02/1.44 ) ), 'c_HOL_Oinverse__class_Odivide'( 'c_NthRoot_Osqrt'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.02/1.44 'c_Transcendental_Osin'( X ) ) ],
% 1.02/1.44 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.02/1.44 'c_Transcendental_Ocos'( X ) ) ],
% 1.02/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.44 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.02/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), X ),
% 1.02/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ),
% 1.02/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OMin', X ) ) ],
% 1.02/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), Y, X ),
% 1.02/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), X ),
% 1.02/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OMin',
% 1.02/1.44 'tc_Int_Oint' ), ~( 'c_lessequals'( X, 'c_Int_OMin', 'tc_Int_Oint' ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'c_lessequals'( X, 'c_Int_OMin', 'tc_Int_Oint' ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OMin',
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_Int_OMin', 'c_Int_OBit0'( X ), 'tc_Int_Oint' ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X, 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X, 'tc_Int_Oint' ), ~(
% 1.02/1.44 'c_lessequals'( 'c_Int_OMin', 'c_Int_OBit0'( X ), 'tc_Int_Oint' ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin',
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.02/1.44 ],
% 1.02/1.44 [ =( 'c_Transcendental_Ocos'( 'c_Transcendental_Opi' ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', 'tc_RealDef_Oreal' ) )
% 1.02/1.44 ],
% 1.02/1.44 [ 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin',
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 1.02/1.44 ],
% 1.02/1.44 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OMin',
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oeq__class_Oeq'( 'c_Int_OMin', 'c_Int_OMin', 'tc_Int_Oint' ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'c_lessequals'( 'c_Int_OMin', 'c_Int_OMin', 'tc_Int_Oint' ) ],
% 1.02/1.44 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_RealVector_Oof__real'(
% 1.02/1.44 Z, 'tc_Complex_Ocomplex' ) ) ), =( X, Z ) ],
% 1.02/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.02/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ), Y, X ), Z, X ), X )
% 1.02/1.44 ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.02/1.44 ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.02/1.44 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.02/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.02/1.44 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.44 ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 1.02/1.44 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.02/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.02/1.44 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.44 ) ],
% 1.02/1.44 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.02/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.02/1.44 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.02/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.02/1.44 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.02/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y,
% 1.02/1.44 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.02/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 1.02/1.44 ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.44 'c_lessequals'( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ 'c_lessequals'( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OPls', 'tc_Int_Oint' ) )
% 1.02/1.44 ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.44 'c_Int_OPls', 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44 ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber__ring'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44 ), X ), ~( 'c_lessequals'( Y, 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber__ring'( X ) ), 'c_lessequals'( Y, 'c_Int_OPls',
% 1.02/1.44 'tc_Int_Oint' ), ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.02/1.44 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.02/1.44 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', Y, 'tc_Int_Oint' ) )
% 1.02/1.44 ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_OPls'
% 1.02/1.44 , Y, 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.02/1.44 ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber__ring'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.02/1.44 ), X ), ~( 'c_lessequals'( 'c_Int_OPls', Y, 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber__ring'( X ) ), 'c_lessequals'( 'c_Int_OPls', Y,
% 1.02/1.44 'tc_Int_Oint' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.02/1.44 [ ~( =( 'c_FFT__Mirabelle_Oroot'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_Complex_Ocomplex' ) ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.02/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y
% 1.02/1.44 , X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ), X ), X ) ],
% 1.02/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Int_OMin', 'tc_Int_Oint' ),
% 1.02/1.44 'c_Int_Osucc'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.02/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.02/1.44 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.02/1.44 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.02/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.02/1.44 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.02/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.02/1.44 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.02/1.44 , X ), W, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.02/1.44 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.44 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.44 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.02/1.44 , X ), X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.02/1.44 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.02/1.44 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 1.02/1.44 , 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ =( 'c_NthRoot_Osqrt'( 'c_Power_Opower__class_Opower'( X, Y,
% 1.02/1.44 'tc_RealDef_Oreal' ) ), 'c_Power_Opower__class_Opower'( 'c_NthRoot_Osqrt'(
% 1.02/1.44 X ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.44 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.02/1.44 ), X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.02/1.44 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.44 ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.02/1.44 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( =( 'c_Complex_Oii', 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 1.02/1.44 ) ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.02/1.44 X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.02/1.44 X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.02/1.44 X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44 ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44 ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44 ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44 ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 1.02/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 1.02/1.44 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 1.02/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 1.02/1.44 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.02/1.44 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.44 'c_lessequals'( Z, Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.02/1.44 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.44 'c_lessequals'( Z, Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.02/1.44 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 1.02/1.44 Y, Z, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.02/1.44 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.44 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.02/1.44 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.02/1.44 , Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.02/1.44 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44 , Z, X ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.02/1.44 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.02/1.44 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44 , Z, X ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.02/1.44 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.44 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.02/1.44 ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.02/1.44 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.44 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 1.02/1.44 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.02/1.44 ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.44 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44 , T, X ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.44 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44 , T, X ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.44 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.02/1.44 Z, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.44 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.02/1.44 ), X ), Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.02/1.44 'tc_Int_Oint' ), X ), Z, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.02/1.44 , T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44 ), T, X ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.02/1.44 , T, X ), Z, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.02/1.44 , T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.02/1.44 , T, X ), Z, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.02/1.44 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 1.02/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 1.02/1.44 W, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.02/1.44 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.02/1.44 , X ), T, X ), W, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.02/1.44 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 1.02/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 1.02/1.44 W, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.02/1.44 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.02/1.44 , X ), W, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.44 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.02/1.44 X ), Y ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.02/1.44 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.02/1.44 X ), Y ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.02/1.44 , X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.44 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.44 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.02/1.44 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.44 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.02/1.44 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.44 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.02/1.44 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.02/1.44 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.44 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.02/1.44 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.02/1.44 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.44 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.02/1.44 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.44 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44 ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.02/1.44 'tc_nat' ), X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.02/1.44 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.02/1.44 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 1.02/1.44 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 1.02/1.44 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.02/1.44 X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 1.02/1.44 , X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.44 ), X ), X ) ) ],
% 1.02/1.44 [ 'c_HOL_Oeq__class_Oeq'( 'c_Int_Onumber__class_Onumber__of'( X,
% 1.02/1.44 'tc_Int_Oint' ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_Int_Oint' ),
% 1.02/1.44 'tc_Int_Oint' ), ~( 'c_HOL_Oeq__class_Oeq'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'c_HOL_Oeq__class_Oeq'( X, Y, 'tc_Int_Oint' ), ~(
% 1.02/1.44 'c_HOL_Oeq__class_Oeq'( 'c_Int_Onumber__class_Onumber__of'( X,
% 1.02/1.44 'tc_Int_Oint' ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_Int_Oint' ),
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.44 X ) ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.02/1.44 , Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.02/1.44 , X ) ) ],
% 1.02/1.44 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.02/1.44 , Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.44 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.02/1.44 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Transcendental_Opi',
% 1.02/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.44 ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.02/1.44 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.44 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.44 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44 , X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.02/1.44 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ 'c_lessequals'( X, Y, 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.02/1.44 , Y, 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.02/1.44 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Z,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.02/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 X ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.02/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X ), =( Z,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X ), =( Y,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.02/1.44 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X )
% 1.02/1.44 ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.02/1.44 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.02/1.44 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), X ), Y, X ), Z, X ), X ) ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.02/1.44 , 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ =( 'c_Power_Opower__class_Opower'( 'c_NthRoot_Osqrt'( X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), X ), ~(
% 1.02/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.02/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( =( 'c_Power_Opower__class_Opower'( 'c_NthRoot_Osqrt'( X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.44 ],
% 1.02/1.44 [ ~( =( 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.02/1.44 ), Y ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( =( 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.02/1.44 ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( X,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ =( 'c_NthRoot_Osqrt'( 'c_Power_Opower__class_Opower'( X,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ) ), X ), ~(
% 1.02/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.02/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( 'c_NthRoot_Osqrt'(
% 1.02/1.44 X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.02/1.44 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.02/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.02/1.44 ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.02/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.02/1.44 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( X,
% 1.02/1.44 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.02/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.02/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.44 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 1.02/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.02/1.44 ) ],
% 1.02/1.44 [ =( 'c_Power_Opower__class_Opower'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.02/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.02/1.44 , 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), Y,
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.02/1.44 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.02/1.44 , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.02/1.44 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.44 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.02/1.44 X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44 , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.02/1.44 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.44 ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.02/1.44 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 X ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 1.02/1.44 'c_RealVector_Oof__real'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.02/1.44 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.02/1.44 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.44 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.02/1.44 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.02/1.44 ), ~( =( 'c_Power_Opower__class_Opower'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44 ) ) ],
% 1.02/1.44 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.02/1.44 ) ), ~( 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit1'( Y ), X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), 'c_Int_Oiszero'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ) ],
% 1.02/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), Y, X ), Y ) ],
% 1.02/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'( Y
% 1.02/1.44 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ), Y ) ],
% 1.02/1.44 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.02/1.44 ) ), 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.02/1.44 ~( 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y
% 1.02/1.44 ), X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.02/1.44 ) ), 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.02/1.44 Y ), X ), X ), ~( 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.02/1.44 , X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), X ), Y, X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), X ), X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'c_HOL_Oeq__class_Oeq'( 'c_Int_OPls', 'c_Int_OBit1'( X ),
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ =( 'c_Int_Osucc'( 'c_Int_OPls' ), 'c_Int_OBit1'( 'c_Int_OPls' ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'c_HOL_Oeq__class_Oeq'( 'c_Int_OBit1'( X ), 'c_Int_OPls',
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_Int_OPls', 'c_Int_OBit1'( X ), 'tc_Int_Oint' ), ~(
% 1.02/1.44 'c_lessequals'( 'c_Int_OPls', X, 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_Int_OPls', X, 'tc_Int_Oint' ), ~( 'c_lessequals'(
% 1.02/1.44 'c_Int_OPls', 'c_Int_OBit1'( X ), 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OPls',
% 1.02/1.44 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls',
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OPls',
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ =( 'c_Int_Osucc'( 'c_Int_OBit1'( X ) ), 'c_Int_OBit0'( 'c_Int_Osucc'(
% 1.02/1.44 X ) ) ) ],
% 1.02/1.44 [ =( 'c_Int_Osucc'( 'c_Int_OBit0'( X ) ), 'c_Int_OBit1'( X ) ) ],
% 1.02/1.44 [ ~( 'c_HOL_Oeq__class_Oeq'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ),
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ), 'tc_Int_Oint'
% 1.02/1.44 ), ~( 'c_lessequals'( X, Y, 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_lessequals'( X, Y, 'tc_Int_Oint' ), ~( 'c_lessequals'(
% 1.02/1.44 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ), 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ), 'tc_Int_Oint'
% 1.02/1.44 ), ~( 'c_lessequals'( X, Y, 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_lessequals'( X, Y, 'tc_Int_Oint' ), ~( 'c_lessequals'(
% 1.02/1.44 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ), 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ =( 'c_Int_Opred'( 'c_Int_OBit1'( X ) ), 'c_Int_OBit0'( X ) ) ],
% 1.02/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y
% 1.02/1.44 ), 'tc_Int_Oint' ), 'c_Int_OBit1'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.02/1.44 'tc_Int_Oint' ) ) ) ],
% 1.02/1.44 [ ~( 'c_HOL_Oeq__class_Oeq'( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ),
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ =( 'c_Int_Opred'( 'c_Int_OBit0'( X ) ), 'c_Int_OBit1'( 'c_Int_Opred'(
% 1.02/1.44 X ) ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ),
% 1.02/1.44 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ),
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ),
% 1.02/1.44 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ),
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y
% 1.02/1.44 ), 'tc_Int_Oint' ), 'c_Int_OBit0'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.02/1.44 'tc_Int_Oint' ) ) ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_Int_OBit0'( X ), 'c_Int_OPls', 'tc_Int_Oint' ), ~(
% 1.02/1.44 'c_lessequals'( X, 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_lessequals'( X, 'c_Int_OPls', 'tc_Int_Oint' ), ~( 'c_lessequals'(
% 1.02/1.44 'c_Int_OBit0'( X ), 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OBit0'( X ),
% 1.02/1.44 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X,
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 'tc_Int_Oint' ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OBit0'( X ),
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oeq__class_Oeq'( 'c_Int_OPls', 'c_Int_OBit0'( X ),
% 1.02/1.44 'tc_Int_Oint' ), ~( 'c_HOL_Oeq__class_Oeq'( 'c_Int_OPls', X,
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oeq__class_Oeq'( 'c_Int_OPls', X, 'tc_Int_Oint' ), ~(
% 1.02/1.44 'c_HOL_Oeq__class_Oeq'( 'c_Int_OPls', 'c_Int_OBit0'( X ), 'tc_Int_Oint' )
% 1.02/1.44 ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OPls',
% 1.02/1.44 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls',
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OPls',
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_Int_OPls', 'c_Int_OBit0'( X ), 'tc_Int_Oint' ), ~(
% 1.02/1.44 'c_lessequals'( 'c_Int_OPls', X, 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_Int_OPls', X, 'tc_Int_Oint' ), ~( 'c_lessequals'(
% 1.02/1.44 'c_Int_OPls', 'c_Int_OBit0'( X ), 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Int_OPls', 'c_Int_OBit0'( X ),
% 1.02/1.44 'tc_Int_Oint' ), 'c_Int_OBit0'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.44 'c_Int_OPls', X, 'tc_Int_Oint' ) ) ) ],
% 1.02/1.44 [ 'c_HOL_Oeq__class_Oeq'( 'c_Int_OBit0'( X ), 'c_Int_OPls',
% 1.02/1.44 'tc_Int_Oint' ), ~( 'c_HOL_Oeq__class_Oeq'( X, 'c_Int_OPls',
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oeq__class_Oeq'( X, 'c_Int_OPls', 'tc_Int_Oint' ), ~(
% 1.02/1.44 'c_HOL_Oeq__class_Oeq'( 'c_Int_OBit0'( X ), 'c_Int_OPls', 'tc_Int_Oint' )
% 1.02/1.44 ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_Power_Opower__class_Opower'(
% 1.02/1.44 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.02/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Y, Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.02/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.02/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ],
% 1.02/1.44 [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ) ) ],
% 1.02/1.44 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.02/1.44 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber__ring'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_RealDef_Oreal' ), X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.02/1.44 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X,
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.02/1.44 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), Z,
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( X, 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ) ) ],
% 1.02/1.44 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( X,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.02/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.02/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), ~( 'c_Int_Oiszero'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), X ) ) ],
% 1.02/1.44 [ 'c_HOL_Oeq__class_Oeq'( 'c_Int_OBit1'( X ), 'c_Int_OMin',
% 1.02/1.44 'tc_Int_Oint' ), ~( 'c_HOL_Oeq__class_Oeq'( X, 'c_Int_OMin',
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oeq__class_Oeq'( X, 'c_Int_OMin', 'tc_Int_Oint' ), ~(
% 1.02/1.44 'c_HOL_Oeq__class_Oeq'( 'c_Int_OBit1'( X ), 'c_Int_OMin', 'tc_Int_Oint' )
% 1.02/1.44 ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit1'( X ),
% 1.02/1.44 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X,
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X, 'tc_Int_Oint' ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit1'( X ),
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_Int_OBit1'( X ), 'c_Int_OMin', 'tc_Int_Oint' ), ~(
% 1.02/1.44 'c_lessequals'( X, 'c_Int_OMin', 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_lessequals'( X, 'c_Int_OMin', 'tc_Int_Oint' ), ~( 'c_lessequals'(
% 1.02/1.44 'c_Int_OBit1'( X ), 'c_Int_OMin', 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_Int_OMin', 'c_Int_OBit1'( X ), 'tc_Int_Oint' ), ~(
% 1.02/1.44 'c_lessequals'( 'c_Int_OMin', X, 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.44 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.02/1.44 'c_RealVector_Oof__real'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.02/1.44 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 1.02/1.44 ],
% 1.02/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.02/1.44 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Oof__real'( Y, X ),
% 1.02/1.44 'c_RealVector_Oof__real'( Z, X ), X ) ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.02/1.44 ],
% 1.02/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.02/1.44 ],
% 1.02/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.02/1.44 ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.02/1.44 ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.44 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.02/1.44 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.44 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.02/1.44 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.02/1.44 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.02/1.44 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_HOL_Oeq'( X ) ), =( Y, Z ), ~( 'c_HOL_Oeq__class_Oeq'( Y, Z
% 1.02/1.44 , X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.44 , X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44 , X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.02/1.44 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.02/1.44 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.02/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.02/1.44 'tc_Int_Oint' ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.02/1.44 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.02/1.44 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.02/1.44 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 1.02/1.44 ), Y, X ) ), =( Z, T ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.02/1.44 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.02/1.44 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.02/1.44 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.02/1.44 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.02/1.44 X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.02/1.44 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 1.02/1.44 Z, X ), X ) ) ],
% 1.02/1.44 [ ~( =( 'c_Complex_Oii', 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_Complex_Ocomplex' ) ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.02/1.44 ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.02/1.44 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.02/1.44 ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.02/1.44 ), =( 'c_HOL_Oinverse__class_Oinverse'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.44 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.44 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.02/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.02/1.44 ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.44 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.02/1.44 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.02/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.02/1.44 X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.44 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.44 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.02/1.44 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.02/1.44 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.02/1.44 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.44 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.44 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.02/1.44 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.02/1.44 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.44 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.44 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.02/1.44 X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.44 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 Z, T, X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 Z, T, X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.44 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.02/1.44 X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.44 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 Y, T, X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 Y, T, X ) ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.02/1.44 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 1.02/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'c_lessequals'( X, Y, 'tc_Int_Oint' ), ~( 'c_lessequals'( Z, Y,
% 1.02/1.44 'tc_Int_Oint' ) ), ~( 'c_lessequals'( X, Z, 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_lessequals'( X, X, 'tc_Int_Oint' ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.02/1.44 , X ) ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.44 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.02/1.44 , X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.44 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 1.02/1.44 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.02/1.44 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.02/1.44 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.44 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.02/1.44 ) ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.44 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.02/1.44 ) ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.02/1.44 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.44 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.44 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.44 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.02/1.44 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.02/1.44 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.02/1.44 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.44 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.44 ), X ), Z, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.02/1.44 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44 ) ],
% 1.02/1.44 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44 ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), Y, X ),
% 1.02/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.44 , Y, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.44 , T, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.44 , T, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.44 , Y, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), ~( 'c_Int_Oiszero'(
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.02/1.44 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.44 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.44 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.02/1.44 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.02/1.44 ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.02/1.44 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.02/1.44 ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.02/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.02/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.02/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.02/1.44 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.02/1.44 'c_lessequals'( Z, Y, X ) ],
% 1.02/1.44 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 1.02/1.44 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'c_lessequals'( X, Y, 'tc_Int_Oint' ), 'c_lessequals'( Y, X,
% 1.02/1.44 'tc_Int_Oint' ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.02/1.44 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.02/1.44 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.44 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_Int_OMin', X, 'tc_Int_Oint' ), ~( 'c_lessequals'(
% 1.02/1.44 'c_Int_OMin', 'c_Int_OBit1'( X ), 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OMin',
% 1.02/1.44 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OMin',
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_Int_OMin', 'tc_Int_Oint' ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OMin',
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oeq__class_Oeq'( 'c_Int_OMin', 'c_Int_OBit1'( X ),
% 1.02/1.44 'tc_Int_Oint' ), ~( 'c_HOL_Oeq__class_Oeq'( 'c_Int_OMin', X,
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oeq__class_Oeq'( 'c_Int_OMin', X, 'tc_Int_Oint' ), ~(
% 1.02/1.44 'c_HOL_Oeq__class_Oeq'( 'c_Int_OMin', 'c_Int_OBit1'( X ), 'tc_Int_Oint' )
% 1.02/1.44 ) ],
% 1.02/1.44 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OMin',
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ ~( 'c_HOL_Oeq__class_Oeq'( 'c_Int_OMin', 'c_Int_OPls', 'tc_Int_Oint' )
% 1.02/1.44 ) ],
% 1.02/1.44 [ ~( =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_Int_Oint'
% 1.02/1.44 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', 'tc_Int_Oint' ) ) )
% 1.02/1.44 ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OPls', 'tc_Int_Oint' )
% 1.02/1.44 ],
% 1.02/1.44 [ ~( 'c_lessequals'( 'c_Int_OPls', 'c_Int_OMin', 'tc_Int_Oint' ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ =( 'c_Int_Opred'( 'c_Int_OPls' ), 'c_Int_OMin' ) ],
% 1.02/1.44 [ ~( 'c_HOL_Oeq__class_Oeq'( 'c_Int_OPls', 'c_Int_OMin', 'tc_Int_Oint' )
% 1.02/1.44 ) ],
% 1.02/1.44 [ =( 'c_Int_Osucc'( 'c_Int_OMin' ), 'c_Int_OPls' ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_Int_OMin', 'c_Int_OPls', 'tc_Int_Oint' ) ],
% 1.02/1.44 [ ~( 'c_HOL_Oeq__class_Oeq'( 'c_Int_OMin', 'c_Int_OBit0'( X ),
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ ~( 'c_HOL_Oeq__class_Oeq'( 'c_Int_OBit0'( X ), 'c_Int_OMin',
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit0'( X ),
% 1.02/1.44 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X,
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X, 'tc_Int_Oint' ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit0'( X ),
% 1.02/1.44 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ =( 'c_Int_Opred'( 'c_Int_OMin' ), 'c_Int_OBit0'( 'c_Int_OMin' ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'c_lessequals'( 'c_Int_OBit0'( X ), 'c_Int_OMin', 'tc_Int_Oint' ), ~(
% 1.02/1.44 'c_lessequals'( X, 'c_Int_OMin', 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ 'c_lessequals'( X, 'c_Int_OMin', 'tc_Int_Oint' ), ~( 'c_lessequals'(
% 1.02/1.44 'c_Int_OBit0'( X ), 'c_Int_OMin', 'tc_Int_Oint' ) ) ],
% 1.02/1.44 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', 'tc_nat' ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.02/1.44 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ), =( X,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ), =( Y,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 1.02/1.44 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 1.02/1.44 ) ],
% 1.02/1.44 [ =( 'c_Complex_Ocomplex_OComplex'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ) ), 'c_RealVector_Oof__real'( X,
% 1.02/1.44 'tc_Complex_Ocomplex' ) ) ],
% 1.02/1.44 [ =( 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 1.02/1.44 , 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 1.02/1.44 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_Complex_Oii' ) ), =( X
% 1.02/1.44 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_RealVector_Oof__real'(
% 1.02/1.44 Z, 'tc_Complex_Ocomplex' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_HOL_Oone__class_Oone'(
% 1.02/1.44 'tc_Complex_Ocomplex' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ =( 'c_RealVector_Oof__real'( X, 'tc_Complex_Ocomplex' ),
% 1.02/1.44 'c_Complex_Ocomplex_OComplex'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ) ) ) ],
% 1.02/1.44 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_Complex_Ocomplex' ) ) ), =( Y
% 1.02/1.44 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_Complex_Ocomplex' ) ) ), =( X
% 1.02/1.44 , 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), X ), X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.02/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.44 ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.02/1.44 ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.02/1.44 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.02/1.44 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.44 ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.44 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.02/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.02/1.44 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ), =( Y
% 1.02/1.44 , Z ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), =(
% 1.02/1.44 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), ~( 'class_Int_Onumber'(
% 1.02/1.44 X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.02/1.44 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.02/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 1.02/1.44 ],
% 1.02/1.44 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.44 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.02/1.44 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.44 Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( X,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( X,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_Transcendental_Ocos'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.02/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.02/1.44 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.02/1.44 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.44 ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( X,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.02/1.44 , 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.02/1.44 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.02/1.44 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X
% 1.02/1.44 ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.02/1.44 ), Y ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.02/1.44 ), Y ) ],
% 1.02/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ),
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oone__class_Oone'( X )
% 1.02/1.44 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.02/1.44 ) ],
% 1.02/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), ~( 'c_Int_Oiszero'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.02/1.44 ) ) ],
% 1.02/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), Y
% 1.02/1.44 , X ), Y ) ],
% 1.02/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.02/1.44 , X ), Y ) ],
% 1.02/1.44 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.02/1.44 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.02/1.44 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.02/1.44 'tc_nat' ) ) ],
% 1.02/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Int_OPls', 'c_Int_OBit1'( X ),
% 1.02/1.44 'tc_Int_Oint' ), 'c_Int_OBit1'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.44 'c_Int_OMin', X, 'tc_Int_Oint' ) ) ) ],
% 1.02/1.44 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Int_OMin', 'tc_Int_Oint' ),
% 1.02/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ) ],
% 1.02/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Int_OMin', 'c_Int_OBit1'( X ),
% 1.02/1.44 'tc_Int_Oint' ), 'c_Int_OBit0'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.44 'c_Int_OMin', X, 'tc_Int_Oint' ) ) ) ],
% 1.02/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Int_OMin', 'c_Int_OBit0'( X ),
% 1.02/1.44 'tc_Int_Oint' ), 'c_Int_OBit1'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.44 'c_Int_OMin', X, 'tc_Int_Oint' ) ) ) ],
% 1.02/1.44 [ =( 'c_Complex_Ocomplex_OComplex'( 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 X, 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.02/1.44 ), 'c_Int_Onumber__class_Onumber__of'( X, 'tc_Complex_Ocomplex' ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.02/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.02/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.02/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44 ) ) ],
% 1.02/1.44 [ ~( =( 'c_Transcendental_Ocos'( 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.02/1.44 [ ~( =( 'c_Int_OMin', 'c_Int_OBit0'( X ) ) ) ],
% 1.02/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 1.02/1.44 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OMin' ) ) ],
% 1.02/1.44 [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 1.02/1.44 [ ~( =( 'c_Int_OPls', 'c_Int_OMin' ) ) ],
% 1.02/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ =( 'c_Int_OBit1'( 'c_Int_OMin' ), 'c_Int_OMin' ) ],
% 1.02/1.44 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OMin' ) ), =( X, 'c_Int_OMin' ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 1.02/1.44 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 1.02/1.44 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 1.02/1.44 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 1.02/1.44 [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 1.02/1.44 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 1.02/1.44 'c_Complex_Ocomplex_OComplex'( Z, T ) ) ), =( X, Z ) ],
% 1.02/1.44 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 1.02/1.44 'c_Complex_Ocomplex_OComplex'( Z, T ) ) ), =( Y, T ) ],
% 1.02/1.44 [ ~( =( 'c_Int_OMin', 'c_Int_OBit1'( X ) ) ), =( 'c_Int_OMin', X ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( =( 'c_Int_OMin', 'c_Int_OPls' ) ) ],
% 1.02/1.44 [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 1.02/1.44 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.02/1.44 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.02/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.02/1.44 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 1.02/1.44 [ =( 'c_Int_OMin', 'c_Int_OBit1'( 'c_Int_OMin' ) ) ],
% 1.02/1.44 [ ~( =( 'c_FFT__Mirabelle_Oroot'( 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ),
% 1.02/1.44 'c_Complex_Ocomplex_OComplex'( 'c_Int_Onumber__class_Onumber__of'(
% 1.02/1.44 'c_Int_OMin', 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ) ) ) ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.02/1.44 ],
% 1.02/1.44 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.02/1.44 ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.02/1.44 ],
% 1.02/1.44 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.02/1.44 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.02/1.44 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.02/1.44 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.02/1.44 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.02/1.44 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.02/1.44 [ 'class_HOL_Oeq'( 'tc_nat' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.02/1.44 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.02/1.44 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.02/1.44 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.02/1.44 ],
% 1.02/1.44 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.02/1.44 ],
% 1.02/1.44 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_HOL_Oeq'( 'tc_Int_Oint' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.02/1.44 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.02/1.44 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.02/1.44 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.02/1.44 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.02/1.44 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.02/1.44 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 1.02/1.44 ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 1.02/1.44 ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 1.02/1.44 ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 1.02/1.44 ],
% 1.02/1.44 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 1.02/1.44 ],
% 1.02/1.44 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_RealVector_Oreal__algebra__1'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Oring__1'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_Int_Oring__char__0'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_Int_Onumber'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_HOL_Oeq'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.02/1.44 'tc_Complex_Ocomplex' ) ],
% 1.02/1.44 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.02/1.44 'tc_Complex_Ocomplex' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.02/1.44 'tc_Complex_Ocomplex' ) ],
% 1.02/1.44 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.02/1.44 ],
% 1.02/1.44 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.02/1.44 ],
% 1.02/1.44 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.02/1.45 ],
% 1.02/1.45 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.45 ,
% 1.02/1.45 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.45 ,
% 1.02/1.45 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.45 ,
% 1.02/1.45 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.45 ,
% 1.02/1.45 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.45 ,
% 1.02/1.45 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.45 ,
% 1.02/1.45 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.45 ,
% 1.02/1.45 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.45 ,
% 1.02/1.45 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.45 ,
% 1.02/1.45 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.45 ,
% 1.02/1.45 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.45 ,
% 1.02/1.45 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.45 ,
% 1.02/1.45 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45 [ 'class_RealVector_Oreal__algebra__1'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45 [ 'class_HOL_Oeq'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.45 ] .
% 1.02/1.45
% 1.02/1.45
% 1.02/1.45 percentage equality = 0.184194, percentage horn = 0.863559
% 1.02/1.45 This is a problem with some equality
% 1.02/1.45
% 1.02/1.45
% 1.02/1.45
% 1.02/1.45 Options Used:
% 1.02/1.45
% 1.02/1.45 useres = 1
% 1.02/1.45 useparamod = 1
% 1.02/1.45 useeqrefl = 1
% 1.02/1.45 useeqfact = 1
% 1.02/1.45 usefactor = 1
% 1.02/1.45 usesimpsplitting = 0
% 1.02/1.45 usesimpdemod = 5
% 1.02/1.45 usesimpres = 3
% 1.02/1.45
% 1.02/1.45 resimpinuse = 1000
% 1.02/1.45 resimpclauses = 20000
% 1.02/1.45 substype = eqrewr
% 1.02/1.45 backwardsubs = 1
% 1.02/1.45 selectoldest = 5
% 1.02/1.45
% 1.02/1.45 litorderings [0] = split
% 1.02/1.45 litorderings [1] = extend the termordering, first sorting on arguments
% 1.02/1.45
% 1.02/1.45 termordering = kbo
% 1.02/1.45
% 1.02/1.45 litapriori = 0
% 1.02/1.45 termapriori = 1
% 1.02/1.45 litaposteriori = 0
% 1.02/1.45 termaposteriori = 0
% 1.02/1.45 demodaposteriori = 0
% 1.02/1.45 ordereqreflfact = 0
% 1.02/1.45
% 1.02/1.45 litselect = negord
% 1.02/1.45
% 1.02/1.45 maxweight = 15
% 1.02/1.45 maxdepth = 30000
% 1.02/1.45 maxlength = 115
% 1.02/1.45 maxnrvars = 195
% 1.02/1.45 excuselevel = 1
% 1.02/1.45 increasemaxweight = 1
% 1.02/1.45
% 1.05/1.61 maxselected = 10000000
% 1.05/1.61 maxnrclauses = 10000000
% 1.05/1.61
% 1.05/1.61 showgenerated = 0
% 1.05/1.61 showkept = 0
% 1.05/1.61 showselected = 0
% 1.05/1.61 showdeleted = 0
% 1.05/1.61 showresimp = 1
% 1.05/1.61 showstatus = 2000
% 1.05/1.61
% 1.05/1.61 prologoutput = 1
% 1.05/1.61 nrgoals = 5000000
% 1.05/1.61 totalproof = 1
% 1.05/1.61
% 1.05/1.61 Symbols occurring in the translation:
% 1.05/1.61
% 1.05/1.61 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.05/1.61 . [1, 2] (w:1, o:133, a:1, s:1, b:0),
% 1.05/1.61 ! [4, 1] (w:0, o:57, a:1, s:1, b:0),
% 1.05/1.61 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.05/1.61 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.05/1.61 'c_Int_OBit1' [40, 1] (w:1, o:65, a:1, s:1, b:0),
% 1.05/1.61 'tc_Int_Oint' [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 1.05/1.61 'c_HOL_Ouminus__class_Ouminus' [42, 2] (w:1, o:158, a:1, s:1, b:0),
% 1.05/1.61 'c_Int_Opred' [43, 1] (w:1, o:66, a:1, s:1, b:0),
% 1.05/1.61 'class_Ring__and__Field_Oordered__field' [45, 1] (w:1, o:71, a:1, s:1
% 1.05/1.61 , b:0),
% 1.05/1.61 'class_Ring__and__Field_Odivision__by__zero' [46, 1] (w:1, o:75, a:1
% 1.05/1.61 , s:1, b:0),
% 1.05/1.61 'class_Int_Onumber' [47, 1] (w:1, o:77, a:1, s:1, b:0),
% 1.05/1.61 'c_Int_Onumber__class_Onumber__of' [49, 2] (w:1, o:160, a:1, s:1, b:0
% 1.05/1.61 ),
% 1.05/1.61 'c_HOL_Oinverse__class_Odivide' [52, 3] (w:1, o:164, a:1, s:1, b:0),
% 1.05/1.61
% 1.05/1.61 'c_lessequals' [53, 3] (w:1, o:165, a:1, s:1, b:0),
% 1.05/1.61 'c_HOL_Ozero__class_Ozero' [54, 1] (w:1, o:62, a:1, s:1, b:0),
% 1.05/1.61 'c_HOL_Oord__class_Oless' [55, 3] (w:1, o:166, a:1, s:1, b:0),
% 1.05/1.61 'c_HOL_Otimes__class_Otimes' [56, 3] (w:1, o:167, a:1, s:1, b:0),
% 1.05/1.61 'class_Ring__and__Field_Oordered__semiring' [61, 1] (w:1, o:79, a:1
% 1.05/1.61 , s:1, b:0),
% 1.05/1.61 'class_Ring__and__Field_Oordered__semiring__strict' [62, 1] (w:1, o:
% 1.05/1.61 80, a:1, s:1, b:0),
% 1.05/1.61 'class_Ring__and__Field_Oidom' [63, 1] (w:1, o:81, a:1, s:1, b:0),
% 1.05/1.61 'tc_RealDef_Oreal' [64, 0] (w:1, o:28, a:1, s:1, b:0),
% 1.05/1.61 'c_HOL_Oplus__class_Oplus' [65, 3] (w:1, o:168, a:1, s:1, b:0),
% 1.05/1.61 'c_Transcendental_Osin' [66, 1] (w:1, o:82, a:1, s:1, b:0),
% 1.05/1.61 'c_Transcendental_Ocos' [67, 1] (w:1, o:83, a:1, s:1, b:0),
% 1.05/1.61 'class_OrderedGroup_Opordered__comm__monoid__add' [68, 1] (w:1, o:85
% 1.05/1.61 , a:1, s:1, b:0),
% 1.05/1.61 'class_Int_Onumber__ring' [69, 1] (w:1, o:86, a:1, s:1, b:0),
% 1.05/1.61 'c_HOL_Ominus__class_Ominus' [71, 3] (w:1, o:169, a:1, s:1, b:0),
% 1.05/1.61 'class_RealVector_Oreal__normed__field' [72, 1] (w:1, o:87, a:1, s:1
% 1.05/1.61 , b:0),
% 1.05/1.61 'class_Ring__and__Field_Ofield' [74, 1] (w:1, o:88, a:1, s:1, b:0),
% 1.05/1.61 'class_Ring__and__Field_Oordered__idom' [75, 1] (w:1, o:89, a:1, s:1
% 1.05/1.61 , b:0),
% 1.05/1.61 'class_OrderedGroup_Olordered__ab__group__add' [76, 1] (w:1, o:90, a:
% 1.05/1.61 1, s:1, b:0),
% 1.05/1.61 'class_Ring__and__Field_Oordered__ring__strict' [77, 1] (w:1, o:78
% 1.05/1.61 , a:1, s:1, b:0),
% 1.05/1.61 'class_Ring__and__Field_Oordered__semidom' [78, 1] (w:1, o:91, a:1
% 1.05/1.61 , s:1, b:0),
% 1.05/1.61 'c_Power_Opower__class_Opower' [80, 3] (w:1, o:170, a:1, s:1, b:0),
% 1.05/1.61 'class_OrderedGroup_Opordered__ab__group__add' [82, 1] (w:1, o:92, a:
% 1.05/1.61 1, s:1, b:0),
% 1.05/1.61 'class_Ring__and__Field_Ocomm__semiring__1' [83, 1] (w:1, o:73, a:1
% 1.05/1.61 , s:1, b:0),
% 1.05/1.61 'c_HOL_Oinverse__class_Oinverse' [88, 2] (w:1, o:159, a:1, s:1, b:0)
% 1.05/1.61 ,
% 1.05/1.61 'c_HOL_Oone__class_Oone' [89, 1] (w:1, o:63, a:1, s:1, b:0),
% 1.05/1.61 'c_Transcendental_Opi' [90, 0] (w:1, o:39, a:1, s:1, b:0),
% 1.05/1.61 'class_Ring__and__Field_Oring' [91, 1] (w:1, o:93, a:1, s:1, b:0),
% 1.05/1.61 'class_Ring__and__Field_Opordered__ring' [92, 1] (w:1, o:95, a:1, s:1
% 1.05/1.61 , b:0),
% 1.05/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [95, 1]
% 1.05/1.61 (w:1, o:96, a:1, s:1, b:0),
% 1.05/1.61 'class_OrderedGroup_Ocomm__monoid__add' [96, 1] (w:1, o:97, a:1, s:1
% 1.05/1.61 , b:0),
% 1.05/1.61 'class_RealVector_Oreal__algebra__1' [97, 1] (w:1, o:98, a:1, s:1, b:
% 1.05/1.61 0),
% 1.05/1.61 'c_RealVector_Oof__real' [98, 2] (w:1, o:161, a:1, s:1, b:0),
% 1.05/1.61 'c_Int_OBit0' [99, 1] (w:1, o:64, a:1, s:1, b:0),
% 1.05/1.61 'class_OrderedGroup_Omonoid__mult' [100, 1] (w:1, o:99, a:1, s:1, b:0
% 1.05/1.61 ),
% 1.05/1.61 'class_OrderedGroup_Ocomm__monoid__mult' [101, 1] (w:1, o:100, a:1
% 1.05/1.61 , s:1, b:0),
% 1.05/1.61 'tc_nat' [102, 0] (w:1, o:42, a:1, s:1, b:0),
% 1.05/1.61 'class_OrderedGroup_Ogroup__add' [103, 1] (w:1, o:101, a:1, s:1, b:0)
% 1.05/1.61 ,
% 1.05/1.61 'class_Ring__and__Field_Odivision__ring' [104, 1] (w:1, o:102, a:1
% 7.99/8.34 , s:1, b:0),
% 7.99/8.34 'c_NthRoot_Osqrt' [105, 1] (w:1, o:103, a:1, s:1, b:0),
% 7.99/8.34 'class_Orderings_Oorder' [106, 1] (w:1, o:104, a:1, s:1, b:0),
% 7.99/8.34 'class_Orderings_Opreorder' [107, 1] (w:1, o:105, a:1, s:1, b:0),
% 7.99/8.34 'class_OrderedGroup_Oab__group__add' [108, 1] (w:1, o:106, a:1, s:1
% 7.99/8.34 , b:0),
% 7.99/8.34 'class_OrderedGroup_Oab__semigroup__add' [109, 1] (w:1, o:107, a:1
% 7.99/8.34 , s:1, b:0),
% 7.99/8.34 'class_Ring__and__Field_Ozero__neq__one' [110, 1] (w:1, o:108, a:1
% 7.99/8.34 , s:1, b:0),
% 7.99/8.34 'class_Ring__and__Field_Ono__zero__divisors' [111, 1] (w:1, o:70, a:1
% 7.99/8.34 , s:1, b:0),
% 7.99/8.34 'class_Ring__and__Field_Omult__zero' [112, 1] (w:1, o:67, a:1, s:1
% 7.99/8.34 , b:0),
% 7.99/8.34 'class_Power_Opower' [113, 1] (w:1, o:117, a:1, s:1, b:0),
% 7.99/8.34 'class_Orderings_Olinorder' [114, 1] (w:1, o:109, a:1, s:1, b:0),
% 7.99/8.34 'class_Ring__and__Field_Osemiring' [118, 1] (w:1, o:121, a:1, s:1, b:
% 7.99/8.34 0),
% 7.99/8.34 'class_Lattices_Oboolean__algebra' [119, 1] (w:1, o:122, a:1, s:1, b:
% 7.99/8.34 0),
% 7.99/8.34 'c_Complex_Oii' [120, 0] (w:1, o:43, a:1, s:1, b:0),
% 7.99/8.34 'tc_Complex_Ocomplex' [121, 0] (w:1, o:44, a:1, s:1, b:0),
% 7.99/8.34 'class_OrderedGroup_Opordered__ab__semigroup__add' [122, 1] (w:1, o:
% 7.99/8.34 110, a:1, s:1, b:0),
% 7.99/8.34 'class_OrderedGroup_Oab__semigroup__idem__mult' [123, 1] (w:1, o:111
% 7.99/8.34 , a:1, s:1, b:0),
% 7.99/8.34 'class_Ring__and__Field_Osemiring__0' [124, 1] (w:1, o:123, a:1, s:1
% 7.99/8.34 , b:0),
% 7.99/8.34 'class_Ring__and__Field_Omult__mono1' [126, 1] (w:1, o:68, a:1, s:1
% 7.99/8.34 , b:0),
% 7.99/8.34 'class_Ring__and__Field_Omult__mono' [127, 1] (w:1, o:69, a:1, s:1
% 7.99/8.34 , b:0),
% 7.99/8.34 'class_RealVector_Oreal__normed__algebra' [129, 1] (w:1, o:124, a:1
% 7.99/8.34 , s:1, b:0),
% 7.99/8.34 'class_RealVector_Oreal__field' [132, 1] (w:1, o:125, a:1, s:1, b:0)
% 7.99/8.34 ,
% 7.99/8.34 'c_Int_Osucc' [133, 1] (w:1, o:126, a:1, s:1, b:0),
% 7.99/8.34 'class_Ring__and__Field_Oordered__comm__semiring__strict' [134, 1]
% 7.99/8.34 (w:1, o:94, a:1, s:1, b:0),
% 7.99/8.34 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [136, 1]
% 7.99/8.34 (w:1, o:112, a:1, s:1, b:0),
% 7.99/8.34 'class_Ring__and__Field_Opordered__cancel__semiring' [138, 1] (w:1
% 7.99/8.34 , o:127, a:1, s:1, b:0),
% 7.99/8.34 'class_OrderedGroup_Oab__semigroup__mult' [139, 1] (w:1, o:113, a:1
% 7.99/8.34 , s:1, b:0),
% 7.99/8.34 'class_Ring__and__Field_Ocomm__semiring' [143, 1] (w:1, o:74, a:1, s:
% 7.99/8.34 1, b:0),
% 7.99/8.34 'class_HOL_Oeq' [144, 1] (w:1, o:76, a:1, s:1, b:0),
% 7.99/8.34 'c_HOL_Oeq__class_Oeq' [145, 3] (w:1, o:171, a:1, s:1, b:0),
% 7.99/8.34 'class_Ring__and__Field_Opordered__semiring' [146, 1] (w:1, o:128, a:
% 7.99/8.34 1, s:1, b:0),
% 7.99/8.34 'c_FFT__Mirabelle_Oroot' [147, 1] (w:1, o:129, a:1, s:1, b:0),
% 7.99/8.34 'c_Int_OPls' [148, 0] (w:1, o:50, a:1, s:1, b:0),
% 7.99/8.34 'class_Ring__and__Field_Osemiring__1' [149, 1] (w:1, o:130, a:1, s:1
% 7.99/8.34 , b:0),
% 7.99/8.34 'c_Int_Oiszero' [150, 2] (w:1, o:162, a:1, s:1, b:0),
% 7.99/8.34 'class_OrderedGroup_Oordered__ab__group__add' [151, 1] (w:1, o:84, a:
% 7.99/8.34 1, s:1, b:0),
% 7.99/8.34 'class_Ring__and__Field_Oring__no__zero__divisors' [152, 1] (w:1, o:
% 7.99/8.34 118, a:1, s:1, b:0),
% 7.99/8.34 'class_Ring__and__Field_Oring__1__no__zero__divisors' [153, 1] (w:1
% 7.99/8.34 , o:119, a:1, s:1, b:0),
% 7.99/8.34 'class_OrderedGroup_Omonoid__add' [154, 1] (w:1, o:114, a:1, s:1, b:0
% 7.99/8.34 ),
% 7.99/8.34 'class_OrderedGroup_Ocancel__ab__semigroup__add' [157, 1] (w:1, o:115
% 7.99/8.34 , a:1, s:1, b:0),
% 7.99/8.34 'class_OrderedGroup_Ocancel__semigroup__add' [158, 1] (w:1, o:116, a:
% 7.99/8.34 1, s:1, b:0),
% 7.99/8.34 'c_Int_OMin' [160, 0] (w:1, o:51, a:1, s:1, b:0),
% 7.99/8.34 'c_Complex_Ocomplex_OComplex' [161, 2] (w:1, o:163, a:1, s:1, b:0),
% 7.99/8.34 'class_Ring__and__Field_Oring__1' [162, 1] (w:1, o:120, a:1, s:1, b:0
% 7.99/8.34 ),
% 7.99/8.34 'class_RealVector_Oreal__normed__vector' [163, 1] (w:1, o:131, a:1
% 7.99/8.34 , s:1, b:0),
% 7.99/8.34 'class_Int_Oring__char__0' [164, 1] (w:1, o:132, a:1, s:1, b:0),
% 7.99/8.34 'class_Ring__and__Field_Ocomm__ring__1' [165, 1] (w:1, o:72, a:1, s:1
% 7.99/8.34 , b:0).
% 7.99/8.34
% 7.99/8.34
% 7.99/8.34 Starting Search:
% 7.99/8.34
% 7.99/8.34 Resimplifying inuse:
% 7.99/8.34 Done
% 7.99/8.34
% 7.99/8.34
% 7.99/8.34 Intermediate Status:
% 7.99/8.34 Generated: 3818
% 7.99/8.34 Kept: 2000
% 7.99/8.34 Inuse: 86
% 7.99/8.34 Deleted: 3
% 7.99/8.34 Deletedinuse: 0
% 7.99/8.34
% 7.99/8.34 Resimplifying inuse:
% 7.99/8.34 Done
% 7.99/8.34
% 7.99/8.34 Resimplifying inuse:
% 7.99/8.34 Done
% 7.99/8.34
% 7.99/8.34
% 7.99/8.34 Intermediate Status:
% 7.99/8.34 Generated: 8431
% 7.99/8.34 Kept: 4002
% 37.38/37.76 Inuse: 261
% 37.38/37.76 Deleted: 11
% 37.38/37.76 Deletedinuse: 0
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76
% 37.38/37.76 Intermediate Status:
% 37.38/37.76 Generated: 14090
% 37.38/37.76 Kept: 6018
% 37.38/37.76 Inuse: 332
% 37.38/37.76 Deleted: 16
% 37.38/37.76 Deletedinuse: 0
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76
% 37.38/37.76 Intermediate Status:
% 37.38/37.76 Generated: 21053
% 37.38/37.76 Kept: 8047
% 37.38/37.76 Inuse: 447
% 37.38/37.76 Deleted: 24
% 37.38/37.76 Deletedinuse: 0
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76
% 37.38/37.76 Intermediate Status:
% 37.38/37.76 Generated: 28467
% 37.38/37.76 Kept: 10069
% 37.38/37.76 Inuse: 547
% 37.38/37.76 Deleted: 29
% 37.38/37.76 Deletedinuse: 0
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76
% 37.38/37.76 Intermediate Status:
% 37.38/37.76 Generated: 34789
% 37.38/37.76 Kept: 12116
% 37.38/37.76 Inuse: 580
% 37.38/37.76 Deleted: 31
% 37.38/37.76 Deletedinuse: 0
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76
% 37.38/37.76 Intermediate Status:
% 37.38/37.76 Generated: 41149
% 37.38/37.76 Kept: 14176
% 37.38/37.76 Inuse: 639
% 37.38/37.76 Deleted: 32
% 37.38/37.76 Deletedinuse: 0
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76
% 37.38/37.76 Intermediate Status:
% 37.38/37.76 Generated: 49896
% 37.38/37.76 Kept: 17048
% 37.38/37.76 Inuse: 658
% 37.38/37.76 Deleted: 33
% 37.38/37.76 Deletedinuse: 0
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76
% 37.38/37.76 Intermediate Status:
% 37.38/37.76 Generated: 55756
% 37.38/37.76 Kept: 19097
% 37.38/37.76 Inuse: 663
% 37.38/37.76 Deleted: 33
% 37.38/37.76 Deletedinuse: 0
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76
% 37.38/37.76 Intermediate Status:
% 37.38/37.76 Generated: 62952
% 37.38/37.76 Kept: 21275
% 37.38/37.76 Inuse: 678
% 37.38/37.76 Deleted: 33
% 37.38/37.76 Deletedinuse: 0
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76 Resimplifying clauses:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76
% 37.38/37.76 Intermediate Status:
% 37.38/37.76 Generated: 79838
% 37.38/37.76 Kept: 24868
% 37.38/37.76 Inuse: 692
% 37.38/37.76 Deleted: 456
% 37.38/37.76 Deletedinuse: 4
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76
% 37.38/37.76 Intermediate Status:
% 37.38/37.76 Generated: 86634
% 37.38/37.76 Kept: 26869
% 37.38/37.76 Inuse: 699
% 37.38/37.76 Deleted: 456
% 37.38/37.76 Deletedinuse: 4
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76
% 37.38/37.76 Intermediate Status:
% 37.38/37.76 Generated: 95305
% 37.38/37.76 Kept: 28869
% 37.38/37.76 Inuse: 727
% 37.38/37.76 Deleted: 456
% 37.38/37.76 Deletedinuse: 4
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76
% 37.38/37.76 Intermediate Status:
% 37.38/37.76 Generated: 101730
% 37.38/37.76 Kept: 30880
% 37.38/37.76 Inuse: 773
% 37.38/37.76 Deleted: 456
% 37.38/37.76 Deletedinuse: 4
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76
% 37.38/37.76 Intermediate Status:
% 37.38/37.76 Generated: 111148
% 37.38/37.76 Kept: 33422
% 37.38/37.76 Inuse: 802
% 37.38/37.76 Deleted: 456
% 37.38/37.76 Deletedinuse: 4
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76
% 37.38/37.76 Intermediate Status:
% 37.38/37.76 Generated: 118606
% 37.38/37.76 Kept: 35450
% 37.38/37.76 Inuse: 841
% 37.38/37.76 Deleted: 457
% 37.38/37.76 Deletedinuse: 4
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76
% 37.38/37.76 Intermediate Status:
% 37.38/37.76 Generated: 128823
% 37.38/37.76 Kept: 38541
% 37.38/37.76 Inuse: 856
% 37.38/37.76 Deleted: 457
% 37.38/37.76 Deletedinuse: 4
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76
% 37.38/37.76 Intermediate Status:
% 37.38/37.76 Generated: 143349
% 37.38/37.76 Kept: 41230
% 37.38/37.76 Inuse: 866
% 37.38/37.76 Deleted: 458
% 37.38/37.76 Deletedinuse: 5
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76 Resimplifying clauses:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76
% 37.38/37.76 Intermediate Status:
% 37.38/37.76 Generated: 152489
% 37.38/37.76 Kept: 43287
% 37.38/37.76 Inuse: 896
% 37.38/37.76 Deleted: 1747
% 37.38/37.76 Deletedinuse: 5
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76
% 37.38/37.76 Intermediate Status:
% 37.38/37.76 Generated: 168619
% 37.38/37.76 Kept: 45305
% 37.38/37.76 Inuse: 907
% 37.38/37.76 Deleted: 1747
% 37.38/37.76 Deletedinuse: 5
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76
% 37.38/37.76 Intermediate Status:
% 37.38/37.76 Generated: 181684
% 37.38/37.76 Kept: 48205
% 37.38/37.76 Inuse: 921
% 37.38/37.76 Deleted: 1747
% 37.38/37.76 Deletedinuse: 5
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76
% 37.38/37.76 Intermediate Status:
% 37.38/37.76 Generated: 190997
% 37.38/37.76 Kept: 50292
% 37.38/37.76 Inuse: 936
% 37.38/37.76 Deleted: 1747
% 37.38/37.76 Deletedinuse: 5
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76
% 37.38/37.76 Intermediate Status:
% 37.38/37.76 Generated: 199549
% 37.38/37.76 Kept: 52341
% 37.38/37.76 Inuse: 971
% 37.38/37.76 Deleted: 1747
% 37.38/37.76 Deletedinuse: 5
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76
% 37.38/37.76 Intermediate Status:
% 37.38/37.76 Generated: 213987
% 37.38/37.76 Kept: 54729
% 37.38/37.76 Inuse: 1001
% 37.38/37.76 Deleted: 1747
% 37.38/37.76 Deletedinuse: 5
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76
% 37.38/37.76 Intermediate Status:
% 37.38/37.76 Generated: 221408
% 37.38/37.76 Kept: 56801
% 37.38/37.76 Inuse: 1031
% 37.38/37.76 Deleted: 1747
% 37.38/37.76 Deletedinuse: 5
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76
% 37.38/37.76 Intermediate Status:
% 37.38/37.76 Generated: 230600
% 37.38/37.76 Kept: 58859
% 37.38/37.76 Inuse: 1066
% 37.38/37.76 Deleted: 1747
% 37.38/37.76 Deletedinuse: 5
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76 Resimplifying inuse:
% 37.38/37.76 Done
% 37.38/37.76
% 37.38/37.76
% 37.38/37.76 Intermediate Status:
% 37.38/37.76 Generated: 244382
% 37.38/37.76 Kept: 61826
% 118.08/118.52 Inuse: 1091
% 118.08/118.52 Deleted: 1747
% 118.08/118.52 Deletedinuse: 5
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52 Resimplifying clauses:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52
% 118.08/118.52 Intermediate Status:
% 118.08/118.52 Generated: 253641
% 118.08/118.52 Kept: 63845
% 118.08/118.52 Inuse: 1132
% 118.08/118.52 Deleted: 2115
% 118.08/118.52 Deletedinuse: 5
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52
% 118.08/118.52 Intermediate Status:
% 118.08/118.52 Generated: 263490
% 118.08/118.52 Kept: 66075
% 118.08/118.52 Inuse: 1141
% 118.08/118.52 Deleted: 2115
% 118.08/118.52 Deletedinuse: 5
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52
% 118.08/118.52 Intermediate Status:
% 118.08/118.52 Generated: 272744
% 118.08/118.52 Kept: 68204
% 118.08/118.52 Inuse: 1161
% 118.08/118.52 Deleted: 2115
% 118.08/118.52 Deletedinuse: 5
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52
% 118.08/118.52 Intermediate Status:
% 118.08/118.52 Generated: 284462
% 118.08/118.52 Kept: 70634
% 118.08/118.52 Inuse: 1171
% 118.08/118.52 Deleted: 2115
% 118.08/118.52 Deletedinuse: 5
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52
% 118.08/118.52 Intermediate Status:
% 118.08/118.52 Generated: 295797
% 118.08/118.52 Kept: 72891
% 118.08/118.52 Inuse: 1191
% 118.08/118.52 Deleted: 2115
% 118.08/118.52 Deletedinuse: 5
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52
% 118.08/118.52 Intermediate Status:
% 118.08/118.52 Generated: 307498
% 118.08/118.52 Kept: 75054
% 118.08/118.52 Inuse: 1216
% 118.08/118.52 Deleted: 2128
% 118.08/118.52 Deletedinuse: 18
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52
% 118.08/118.52 Intermediate Status:
% 118.08/118.52 Generated: 322046
% 118.08/118.52 Kept: 78261
% 118.08/118.52 Inuse: 1243
% 118.08/118.52 Deleted: 2128
% 118.08/118.52 Deletedinuse: 18
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52
% 118.08/118.52 Intermediate Status:
% 118.08/118.52 Generated: 330052
% 118.08/118.52 Kept: 80375
% 118.08/118.52 Inuse: 1271
% 118.08/118.52 Deleted: 2128
% 118.08/118.52 Deletedinuse: 18
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52 Resimplifying clauses:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52
% 118.08/118.52 Intermediate Status:
% 118.08/118.52 Generated: 340362
% 118.08/118.52 Kept: 82519
% 118.08/118.52 Inuse: 1301
% 118.08/118.52 Deleted: 3319
% 118.08/118.52 Deletedinuse: 18
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52
% 118.08/118.52 Intermediate Status:
% 118.08/118.52 Generated: 349142
% 118.08/118.52 Kept: 84573
% 118.08/118.52 Inuse: 1331
% 118.08/118.52 Deleted: 3320
% 118.08/118.52 Deletedinuse: 19
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52
% 118.08/118.52 Intermediate Status:
% 118.08/118.52 Generated: 358015
% 118.08/118.52 Kept: 86591
% 118.08/118.52 Inuse: 1376
% 118.08/118.52 Deleted: 3320
% 118.08/118.52 Deletedinuse: 19
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52
% 118.08/118.52 Intermediate Status:
% 118.08/118.52 Generated: 374910
% 118.08/118.52 Kept: 90958
% 118.08/118.52 Inuse: 1406
% 118.08/118.52 Deleted: 3320
% 118.08/118.52 Deletedinuse: 19
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52
% 118.08/118.52 Intermediate Status:
% 118.08/118.52 Generated: 387659
% 118.08/118.52 Kept: 97711
% 118.08/118.52 Inuse: 1411
% 118.08/118.52 Deleted: 3320
% 118.08/118.52 Deletedinuse: 19
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52
% 118.08/118.52 Intermediate Status:
% 118.08/118.52 Generated: 400365
% 118.08/118.52 Kept: 104343
% 118.08/118.52 Inuse: 1416
% 118.08/118.52 Deleted: 3320
% 118.08/118.52 Deletedinuse: 19
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52 Resimplifying clauses:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52
% 118.08/118.52 Intermediate Status:
% 118.08/118.52 Generated: 411492
% 118.08/118.52 Kept: 107044
% 118.08/118.52 Inuse: 1421
% 118.08/118.52 Deleted: 3820
% 118.08/118.52 Deletedinuse: 19
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52
% 118.08/118.52 Intermediate Status:
% 118.08/118.52 Generated: 420116
% 118.08/118.52 Kept: 109107
% 118.08/118.52 Inuse: 1451
% 118.08/118.52 Deleted: 3820
% 118.08/118.52 Deletedinuse: 19
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52
% 118.08/118.52 Intermediate Status:
% 118.08/118.52 Generated: 446593
% 118.08/118.52 Kept: 113806
% 118.08/118.52 Inuse: 1476
% 118.08/118.52 Deleted: 3820
% 118.08/118.52 Deletedinuse: 19
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52
% 118.08/118.52 Intermediate Status:
% 118.08/118.52 Generated: 457466
% 118.08/118.52 Kept: 115894
% 118.08/118.52 Inuse: 1506
% 118.08/118.52 Deleted: 3820
% 118.08/118.52 Deletedinuse: 19
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52
% 118.08/118.52 Intermediate Status:
% 118.08/118.52 Generated: 468915
% 118.08/118.52 Kept: 118262
% 118.08/118.52 Inuse: 1536
% 118.08/118.52 Deleted: 3820
% 118.08/118.52 Deletedinuse: 19
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52
% 118.08/118.52 Intermediate Status:
% 118.08/118.52 Generated: 483936
% 118.08/118.52 Kept: 121930
% 118.08/118.52 Inuse: 1567
% 118.08/118.52 Deleted: 3821
% 118.08/118.52 Deletedinuse: 19
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52
% 118.08/118.52 Intermediate Status:
% 118.08/118.52 Generated: 511742
% 118.08/118.52 Kept: 126574
% 118.08/118.52 Inuse: 1589
% 118.08/118.52 Deleted: 3826
% 118.08/118.52 Deletedinuse: 23
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52 Resimplifying clauses:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52
% 118.08/118.52 Intermediate Status:
% 118.08/118.52 Generated: 526957
% 118.08/118.52 Kept: 129999
% 118.08/118.52 Inuse: 1619
% 118.08/118.52 Deleted: 4515
% 118.08/118.52 Deletedinuse: 23
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52
% 118.08/118.52 Intermediate Status:
% 118.08/118.52 Generated: 542127
% 118.08/118.52 Kept: 133284
% 118.08/118.52 Inuse: 1629
% 118.08/118.52 Deleted: 4515
% 118.08/118.52 Deletedinuse: 23
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52 Resimplifying inuse:
% 118.08/118.52 Done
% 118.08/118.52
% 118.08/118.52
% 118.08/118.52 Intermediate Status:
% 233.38/233.83 Generated: 556506
% 233.38/233.83 Kept: 135461
% 233.38/233.83 Inuse: 1644
% 233.38/233.83 Deleted: 4515
% 233.38/233.83 Deletedinuse: 23
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83
% 233.38/233.83 Intermediate Status:
% 233.38/233.83 Generated: 567168
% 233.38/233.83 Kept: 137754
% 233.38/233.83 Inuse: 1664
% 233.38/233.83 Deleted: 4515
% 233.38/233.83 Deletedinuse: 23
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83
% 233.38/233.83 Intermediate Status:
% 233.38/233.83 Generated: 576955
% 233.38/233.83 Kept: 140044
% 233.38/233.83 Inuse: 1684
% 233.38/233.83 Deleted: 4515
% 233.38/233.83 Deletedinuse: 23
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83
% 233.38/233.83 Intermediate Status:
% 233.38/233.83 Generated: 584012
% 233.38/233.83 Kept: 142057
% 233.38/233.83 Inuse: 1702
% 233.38/233.83 Deleted: 4515
% 233.38/233.83 Deletedinuse: 23
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83
% 233.38/233.83 Intermediate Status:
% 233.38/233.83 Generated: 590820
% 233.38/233.83 Kept: 144097
% 233.38/233.83 Inuse: 1720
% 233.38/233.83 Deleted: 4515
% 233.38/233.83 Deletedinuse: 23
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83
% 233.38/233.83 Intermediate Status:
% 233.38/233.83 Generated: 598505
% 233.38/233.83 Kept: 146101
% 233.38/233.83 Inuse: 1741
% 233.38/233.83 Deleted: 4515
% 233.38/233.83 Deletedinuse: 23
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83
% 233.38/233.83 Intermediate Status:
% 233.38/233.83 Generated: 607064
% 233.38/233.83 Kept: 149752
% 233.38/233.83 Inuse: 1749
% 233.38/233.83 Deleted: 4515
% 233.38/233.83 Deletedinuse: 23
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83 Resimplifying clauses:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83
% 233.38/233.83 Intermediate Status:
% 233.38/233.83 Generated: 615027
% 233.38/233.83 Kept: 154471
% 233.38/233.83 Inuse: 1754
% 233.38/233.83 Deleted: 5011
% 233.38/233.83 Deletedinuse: 23
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83
% 233.38/233.83 Intermediate Status:
% 233.38/233.83 Generated: 623353
% 233.38/233.83 Kept: 157130
% 233.38/233.83 Inuse: 1763
% 233.38/233.83 Deleted: 5011
% 233.38/233.83 Deletedinuse: 23
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83
% 233.38/233.83 Intermediate Status:
% 233.38/233.83 Generated: 632941
% 233.38/233.83 Kept: 159167
% 233.38/233.83 Inuse: 1793
% 233.38/233.83 Deleted: 5011
% 233.38/233.83 Deletedinuse: 23
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83
% 233.38/233.83 Intermediate Status:
% 233.38/233.83 Generated: 650231
% 233.38/233.83 Kept: 165185
% 233.38/233.83 Inuse: 1804
% 233.38/233.83 Deleted: 5011
% 233.38/233.83 Deletedinuse: 23
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83
% 233.38/233.83 Intermediate Status:
% 233.38/233.83 Generated: 707117
% 233.38/233.83 Kept: 168178
% 233.38/233.83 Inuse: 1814
% 233.38/233.83 Deleted: 5011
% 233.38/233.83 Deletedinuse: 23
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83 Resimplifying clauses:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83
% 233.38/233.83 Intermediate Status:
% 233.38/233.83 Generated: 716148
% 233.38/233.83 Kept: 170179
% 233.38/233.83 Inuse: 1819
% 233.38/233.83 Deleted: 5863
% 233.38/233.83 Deletedinuse: 23
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83
% 233.38/233.83 Intermediate Status:
% 233.38/233.83 Generated: 732911
% 233.38/233.83 Kept: 175501
% 233.38/233.83 Inuse: 1829
% 233.38/233.83 Deleted: 5863
% 233.38/233.83 Deletedinuse: 23
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83
% 233.38/233.83 Intermediate Status:
% 233.38/233.83 Generated: 755166
% 233.38/233.83 Kept: 178693
% 233.38/233.83 Inuse: 1834
% 233.38/233.83 Deleted: 5863
% 233.38/233.83 Deletedinuse: 23
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83
% 233.38/233.83 Intermediate Status:
% 233.38/233.83 Generated: 777488
% 233.38/233.83 Kept: 181794
% 233.38/233.83 Inuse: 1839
% 233.38/233.83 Deleted: 5863
% 233.38/233.83 Deletedinuse: 23
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83
% 233.38/233.83 Intermediate Status:
% 233.38/233.83 Generated: 786204
% 233.38/233.83 Kept: 183904
% 233.38/233.83 Inuse: 1844
% 233.38/233.83 Deleted: 5863
% 233.38/233.83 Deletedinuse: 23
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83
% 233.38/233.83 Intermediate Status:
% 233.38/233.83 Generated: 800851
% 233.38/233.83 Kept: 187405
% 233.38/233.83 Inuse: 1869
% 233.38/233.83 Deleted: 5863
% 233.38/233.83 Deletedinuse: 23
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83
% 233.38/233.83 Intermediate Status:
% 233.38/233.83 Generated: 818880
% 233.38/233.83 Kept: 197545
% 233.38/233.83 Inuse: 1879
% 233.38/233.83 Deleted: 5863
% 233.38/233.83 Deletedinuse: 23
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83 Resimplifying clauses:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83
% 233.38/233.83 Intermediate Status:
% 233.38/233.83 Generated: 835353
% 233.38/233.83 Kept: 207323
% 233.38/233.83 Inuse: 1884
% 233.38/233.83 Deleted: 6109
% 233.38/233.83 Deletedinuse: 23
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83
% 233.38/233.83 Intermediate Status:
% 233.38/233.83 Generated: 849505
% 233.38/233.83 Kept: 210367
% 233.38/233.83 Inuse: 1889
% 233.38/233.83 Deleted: 6109
% 233.38/233.83 Deletedinuse: 23
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83
% 233.38/233.83 Intermediate Status:
% 233.38/233.83 Generated: 856634
% 233.38/233.83 Kept: 212525
% 233.38/233.83 Inuse: 1909
% 233.38/233.83 Deleted: 6109
% 233.38/233.83 Deletedinuse: 23
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83
% 233.38/233.83 Intermediate Status:
% 233.38/233.83 Generated: 863844
% 233.38/233.83 Kept: 214630
% 233.38/233.83 Inuse: 1929
% 233.38/233.83 Deleted: 6109
% 233.38/233.83 Deletedinuse: 23
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83
% 233.38/233.83 Intermediate Status:
% 233.38/233.83 Generated: 886913
% 233.38/233.83 Kept: 218080
% 233.38/233.83 Inuse: 1934
% 233.38/233.83 Deleted: 6109
% 233.38/233.83 Deletedinuse: 23
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83 Resimplifying clauses:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83
% 233.38/233.83 Intermediate Status:
% 233.38/233.83 Generated: 893774
% 233.38/233.83 Kept: 220104
% 233.38/233.83 Inuse: 1950
% 233.38/233.83 Deleted: 6436
% 233.38/233.83 Deletedinuse: 23
% 233.38/233.83
% 233.38/233.83 Resimplifying inuse:
% 233.38/233.83 Done
% 233.38/233.83
% 233.38/233.83 ResimplifyinCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------